<div id="pf1" class="pf w0 h0" data-page-no="1"><div class="pc pc1 w0 h0"><div class="t m0 x0 h1 y0 ff1 fs0 fc0 sc0 ls0 ws0">Probabilida<span class="_0 blank"></span>de,<span class="_1 blank"> </span>Estatísti<span class="_0 blank"></span>ca<span class="_1 blank"> </span>e<span class="_2 blank"> </span>Pro cessos<span class="_2 blank"> </span>Esto cásticos</div><div class="t m0 x1 h2 y1 ff2 fs1 fc0 sc0 ls0 ws1">Carlos<span class="_3 blank"> </span>Alb erto<span class="_3 blank"> </span>Y<span class="_4 blank"></span>noguti</div><div class="t m0 x2 h2 y2 ff2 fs1 fc0 sc0 ls0 ws2">25 de janeiro de 2011</div></div><div class="pi" data-data='{"ctm":[1.000000,0.000000,0.000000,1.000000,0.000000,0.000000]}'></div></div> <div id="pf2" class="pf w0 h0" data-page-no="2"><div class="pc pc2 w0 h0"><div class="t m0 x3 h3 y3 ff3 fs2 fc0 sc0 ls0 ws3">Agradecimen<span class="_5 blank"></span>tos</div><div class="t m0 x4 h4 y4 ff4 fs3 fc0 sc0 ls0 ws4">A<span class="_0 blank"></span>o<span class="_6 blank"> </span>Prof.<span class="_7 blank"> </span>Dr.<span class="_7 blank"> </span>Da<span class="_5 blank"></span>yan<span class="_6 blank"> </span>A<span class="_0 blank"></span>dionel<span class="_6 blank"> </span>Guimarães<span class="_6 blank"> </span>pela<span class="_6 blank"> </span>criteriosa<span class="_6 blank"> </span>revis ã o<span class="_6 blank"> </span>do<span class="_6 blank"> </span>texto.</div></div><div class="pi" data-data='{"ctm":[1.000000,0.000000,0.000000,1.000000,0.000000,0.000000]}'></div></div> <div id="pf3" class="pf w0 h0" data-page-no="3"><div class="pc pc3 w0 h0"><div class="t m0 x5 h3 y5 ff3 fs2 fc0 sc0 ls0 ws3">Sumário</div><div class="t m0 x5 h5 y6 ff5 fs3 fc0 sc0 ls0 ws5">Lista de Figur<span class="_8 blank"> </span>as<span class="_9 blank"> </span>vii</div><div class="t m0 x5 h5 y7 ff5 fs3 fc0 sc0 ls0 ws6">1 Probabilidade<span class="_a blank"> </span>1</div><div class="t m0 x6 h4 y8 ff4 fs3 fc0 sc0 ls0 ws7">1.1<span class="_b blank"> </span>In<span class="_0 blank"></span>trodução.<span class="_c blank"> </span>. . . . . . . .<span class="_2 blank"> </span>. . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . .<span class="_d blank"> </span>1</div><div class="t m0 x6 h4 y9 ff4 fs3 fc0 sc0 ls0 ws7">1.2<span class="_b blank"> </span>T<span class="_4 blank"></span>eoria<span class="_6 blank"> </span>de<span class="_6 blank"> </span>Conjun<span class="_0 blank"></span>tos.<span class="_e blank"> </span>. . . . . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . .<span class="_d blank"> </span>2</div><div class="t m0 x7 h4 ya ff4 fs3 fc0 sc0 ls0 ws7">1.2.1<span class="_f blank"> </span>Lei<span class="_6 blank"> </span>de<span class="_6 blank"> </span>De<span class="_6 blank"> </span>Morgan.<span class="_10 blank"> </span>. . . . . . .<span class="_2 blank"> </span>. . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . . .<span class="_d blank"> </span>4</div><div class="t m0 x7 h4 yb ff4 fs3 fc0 sc0 ls0 ws7">1.2.2<span class="_f blank"> </span>Princípio<span class="_6 blank"> </span>da<span class="_6 blank"> </span>Dualidad<span class="_0 blank"></span>e.<span class="_c blank"> </span>. . . . . . . . . . .<span class="_2 blank"> </span>. . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . .<span class="_d blank"> </span>5</div><div class="t m0 x6 h4 yc ff4 fs3 fc0 sc0 ls0 ws7">1.3<span class="_b blank"> </span>De\ufb01nições<span class="_3 blank"> </span>de<span class="_6 blank"> </span>Probabilidade<span class="_0 blank"></span>.<span class="_7 blank"> </span>. . . . . .<span class="_2 blank"> </span>. . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . . .<span class="_d blank"> </span>5</div><div class="t m0 x7 h4 yd ff4 fs3 fc0 sc0 ls0 ws7">1.3.1<span class="_f blank"> </span>F<span class="_4 blank"></span>requência<span class="_6 blank"> </span>Relativ<span class="_5 blank"></span>a.<span class="_11 blank"> </span>. . . . . .<span class="_2 blank"> </span>. . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . . .<span class="_d blank"> </span>5</div><div class="t m0 x7 h4 ye ff4 fs3 fc0 sc0 ls0 ws7">1.3.2<span class="_f blank"> </span>Axiomática.<span class="_7 blank"> </span>. . . . . . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . .<span class="_d blank"> </span>6</div><div class="t m0 x7 h4 yf ff4 fs3 fc0 sc0 ls0 ws7">1.3.3<span class="_f blank"> </span>Clássica.<span class="_12 blank"> </span>. . . . . .<span class="_2 blank"> </span>. . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . .<span class="_d blank"> </span>7</div><div class="t m0 x6 h4 y10 ff4 fs3 fc0 sc0 ls0 ws7">1.4<span class="_b blank"> </span>Cálculo<span class="_6 blank"> </span>de<span class="_6 blank"> </span>probabilid<span class="_0 blank"></span>ades<span class="_6 blank"> </span>usando<span class="_6 blank"> </span>méto<span class="_8 blank"> </span>dos<span class="_6 blank"> </span>de<span class="_6 blank"> </span>con<span class="_0 blank"></span>tagem.<span class="_13 blank"> </span>. . . . . . . . .<span class="_d blank"> </span>7</div><div class="t m0 x7 h4 y11 ff4 fs3 fc0 sc0 ls0 ws7">1.4.1<span class="_f blank"> </span>Amostragem<span class="_6 blank"> </span>com<span class="_6 blank"> </span>rep<span class="_8 blank"> </span>osição<span class="_6 blank"> </span>e<span class="_6 blank"> </span>ordenação.<span class="_7 blank"> </span>. . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . . .<span class="_d blank"> </span>8</div><div class="t m0 x7 h4 y12 ff4 fs3 fc0 sc0 ls0 ws7">1.4.2<span class="_f blank"> </span>Amostragem<span class="_6 blank"> </span>sem<span class="_6 blank"> </span>reposição<span class="_6 blank"> </span>e<span class="_6 blank"> </span>com<span class="_6 blank"> </span>ordenação.<span class="_c blank"> </span>. . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . .<span class="_d blank"> </span>8</div><div class="t m0 x7 h4 y13 ff4 fs3 fc0 sc0 ls0 ws8">1.4.3<span class="_f blank"> </span>P<span class="_0 blank"></span>erm<span class="_5 blank"></span>utação de <span class="ff6 ls1">n</span><span class="ws7">ob<span class="_14 blank"> </span>jetos<span class="_6 blank"> </span>distin<span class="_0 blank"></span>tos.<span class="_13 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . .<span class="_d blank"> </span>9</span></div><div class="t m0 x7 h4 y14 ff4 fs3 fc0 sc0 ls0 ws7">1.4.4<span class="_f blank"> </span>Amostragem<span class="_6 blank"> </span>sem<span class="_6 blank"> </span>reposição<span class="_6 blank"> </span>e<span class="_6 blank"> </span>sem<span class="_6 blank"> </span>ordenação.<span class="_15 blank"> </span>. . . . . .<span class="_2 blank"> </span>. . . . .<span class="_16 blank"> </span>10</div><div class="t m0 x7 h4 y15 ff4 fs3 fc0 sc0 ls0 ws7">1.4.5<span class="_f blank"> </span>Amostragem<span class="_6 blank"> </span>com<span class="_6 blank"> </span>rep<span class="_8 blank"> </span>osição<span class="_6 blank"> </span>e<span class="_6 blank"> </span>sem<span class="_6 blank"> </span>ordenaçã<span class="_0 blank"></span>o.<span class="_c blank"> </span>. . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . .<span class="_16 blank"> </span>11</div><div class="t m0 x6 h4 y16 ff4 fs3 fc0 sc0 ls0 ws7">1.5<span class="_b blank"> </span>Probabilid<span class="_0 blank"></span>ade<span class="_6 blank"> </span>Conjunta<span class="_0 blank"></span>.<span class="_e blank"> </span>. . .<span class="_2 blank"> </span>. . . . . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . .<span class="_16 blank"> </span>11</div><div class="t m0 x7 h4 y17 ff4 fs3 fc0 sc0 ls0 ws7">1.5.1<span class="_f blank"> </span>Probabilid<span class="_0 blank"></span>ades<span class="_6 blank"> </span>Marginais.<span class="_13 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . .<span class="_17 blank"> </span>12</div><div class="t m0 x6 h4 y18 ff4 fs3 fc0 sc0 ls0 ws7">1.6<span class="_b blank"> </span>Probabilid<span class="_0 blank"></span>ade<span class="_6 blank"> </span>Condicional.<span class="_b blank"> </span>. . . . . .<span class="_2 blank"> </span>. . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . . .<span class="_16 blank"> </span>12</div><div class="t m0 x7 h4 y19 ff4 fs3 fc0 sc0 ls0 ws7">1.6.1<span class="_f blank"> </span>Regra<span class="_6 blank"> </span>de<span class="_6 blank"> </span>Ba<span class="_0 blank"></span>y<span class="_5 blank"></span>es.<span class="_18 blank"> </span>. . . . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . .<span class="_16 blank"> </span>13</div><div class="t m0 x6 h4 y1a ff4 fs3 fc0 sc0 ls0 ws7">1.7<span class="_b blank"> </span>Ev<span class="_0 blank"></span>en<span class="_5 blank"></span>tos<span class="_3 blank"> </span>indep<span class="_8 blank"> </span>enden<span class="_5 blank"></span>tes.<span class="_6 blank"> </span>. . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . . .<span class="_16 blank"> </span>14</div><div class="t m0 x6 h4 y1b ff4 fs3 fc0 sc0 ls0 ws7">1.8<span class="_b blank"> </span>Exp<span class="_8 blank"> </span>erimen<span class="_5 blank"></span>tos<span class="_3 blank"> </span>sequenciais<span class="_6 blank"> </span>e<span class="_6 blank"> </span>diagramas<span class="_6 blank"> </span>em<span class="_6 blank"> </span>árv<span class="_0 blank"></span>ore<span class="_19 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . . . . . .<span class="_16 blank"> </span>16</div><div class="t m0 x6 h4 y1c ff4 fs3 fc0 sc0 ls0 ws7">1.9<span class="_b blank"> </span>Exercícios<span class="_10 blank"> </span>. . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . . . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . . .<span class="_16 blank"> </span>19</div><div class="t m0 x5 h5 y1d ff5 fs3 fc0 sc0 ls0 ws9">2<span class="_15 blank"> </span>V<span class="_4 blank"></span>ariá<span class="_5 blank"></span>veis A<span class="_0 blank"></span>leatórias<span class="_1a blank"> </span>25</div><div class="t m0 x6 h4 y1e ff4 fs3 fc0 sc0 ls0 ws7">2.1<span class="_b blank"> </span>De\ufb01nição.<span class="_11 blank"> </span>.<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . . . . .<span class="_2 blank"> </span>. . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . .<span class="_16 blank"> </span>25</div><div class="t m0 x6 h4 y1f ff4 fs3 fc0 sc0 ls0 ws7">2.2<span class="_b blank"> </span>F<span class="_4 blank"></span>unção<span class="_6 blank"> </span>distribuição<span class="_6 blank"> </span>cum<span class="_0 blank"></span>ulativ<span class="_4 blank"></span>a.<span class="_2 blank"> </span>. . . .<span class="_2 blank"> </span>. . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . . .<span class="_16 blank"> </span>27</div><div class="t m0 x6 h4 y20 ff4 fs3 fc0 sc0 ls0 ws7">2.3<span class="_b blank"> </span>Tip<span class="_8 blank"> </span>os<span class="_6 blank"> </span>de<span class="_6 blank"> </span>V<span class="_4 blank"></span>ariá<span class="_0 blank"></span>v<span class="_5 blank"></span>eis<span class="_3 blank"> </span>Aleatórias<span class="_c blank"> </span>. . . . .<span class="_2 blank"> </span>. . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . . . . .<span class="_2 blank"> </span>. . .<span class="_16 blank"> </span>30</div><div class="t m0 x7 h4 y21 ff4 fs3 fc0 sc0 ls0 ws7">2.3.1<span class="_f blank"> </span>Discretas<span class="_1b blank"> </span>. . . . . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . . .<span class="_16 blank"> </span>30</div><div class="t m0 x7 h4 y22 ff4 fs3 fc0 sc0 ls0 ws7">2.3.2<span class="_f blank"> </span>Con<span class="_5 blank"></span>tínua<span class="_0 blank"></span>s<span class="_e blank"> </span>. . . . . . . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . .<span class="_16 blank"> </span>31</div><div class="t m0 x7 h4 y23 ff4 fs3 fc0 sc0 ls0 ws7">2.3.3<span class="_f blank"> </span>Mistas . . . . . . . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . . .<span class="_16 blank"> </span>32</div><div class="t m0 x6 h4 y24 ff4 fs3 fc0 sc0 ls0 ws7">2.4<span class="_b blank"> </span>F<span class="_4 blank"></span>unção<span class="_6 blank"> </span>Densidade<span class="_6 blank"> </span>de<span class="_6 blank"> </span>Probabilidad<span class="_0 blank"></span>e<span class="_18 blank"> </span>. . . . . .<span class="_2 blank"> </span>. . . . . . .<span class="_2 blank"> </span>. . . . . . . .<span class="_16 blank"> </span>33</div><div class="t m0 x7 h4 y25 ff4 fs3 fc0 sc0 ls0 ws7">2.4.1<span class="_f blank"> </span>De\ufb01nição<span class="_15 blank"> </span>. . . . . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . . .<span class="_16 blank"> </span>33</div><div class="t m0 x7 h4 y26 ff4 fs3 fc0 sc0 ls0 ws7">2.4.2<span class="_f blank"> </span>Propriedad<span class="_0 blank"></span>es<span class="_19 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . . .<span class="_16 blank"> </span>34</div><div class="t m0 x7 h4 y27 ff4 fs3 fc0 sc0 ls0 ws7">2.4.3<span class="_f blank"> </span>Caso<span class="_6 blank"> </span>Discreto<span class="_7 blank"> </span>. . . . . . . . . .<span class="_2 blank"> </span>. . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . . .<span class="_16 blank"> </span>35</div><div class="t m0 x6 h4 y28 ff4 fs3 fc0 sc0 ls0 ws7">2.5<span class="_b blank"> </span>Algumas<span class="_6 blank"> </span>v<span class="_5 blank"></span>ariá<span class="_0 blank"></span>v<span class="_0 blank"></span>eis<span class="_6 blank"> </span>aleatórias<span class="_6 blank"> </span>discretas<span class="_6 blank"> </span>important<span class="_0 blank"></span>es<span class="_1b blank"> </span>. . . . . . .<span class="_2 blank"> </span>. . . . .<span class="_16 blank"> </span>36</div><div class="t m0 x7 h4 y29 ff4 fs3 fc0 sc0 ls0 ws7">2.5.1<span class="_f blank"> </span>Bernoulli<span class="_1b blank"> </span>. . . . . . . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . .<span class="_16 blank"> </span>36</div></div><div class="pi" data-data='{"ctm":[1.000000,0.000000,0.000000,1.000000,0.000000,0.000000]}'></div></div> <div id="pf4" class="pf w0 h0" data-page-no="4"><div class="pc pc4 w0 h0"><img fetchpriority="low" loading="lazy" class="bi x7 y2a w1 h6" alt="" src="https://files.passeidireto.com/d8792c25-3b38-4bec-bba4-a6d2708f7d70/bg4.png"><div class="t m0 x8 h5 y2b ff5 fs3 fc0 sc0 ls0 wsb">SUMÁRIO iii</div><div class="t m0 x9 h4 y2c ff4 fs3 fc0 sc0 ls0 ws7">2.5.2<span class="_f blank"> </span>Binomi<span class="_0 blank"></span>al<span class="_1c blank"> </span>. . . . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. .<span class="_16 blank"> </span>37</div><div class="t m0 x9 h4 y2d ff4 fs3 fc0 sc0 ls0 ws7">2.5.3<span class="_f blank"> </span>P<span class="_5 blank"></span>oisson<span class="_15 blank"> </span>. . . . . . . . .<span class="_2 blank"> </span>. . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . .<span class="_16 blank"> </span>37</div><div class="t m0 x9 h4 y2e ff4 fs3 fc0 sc0 ls0 ws7">2.5.4<span class="_f blank"> </span>Geométr<span class="_0 blank"></span>ica<span class="_11 blank"> </span>. . . . . . .<span class="_2 blank"> </span>. . . .<span class="_2 blank"> </span>. . . . . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. .<span class="_16 blank"> </span>38</div><div class="t m0 x4 h4 y2f ff4 fs3 fc0 sc0 ls0 ws7">2.6<span class="_b blank"> </span>Algumas<span class="_6 blank"> </span>v<span class="_5 blank"></span>ariá<span class="_0 blank"></span>v<span class="_5 blank"></span>eis<span class="_3 blank"> </span>aleatórias<span class="_6 blank"> </span>con<span class="_0 blank"></span>tín<span class="_5 blank"></span>uas<span class="_3 blank"> </span>imp<span class="_8 blank"> </span>ortan<span class="_0 blank"></span>tes<span class="_13 blank"> </span>. . . . . . . .<span class="_2 blank"> </span>. . . .<span class="_16 blank"> </span>38</div><div class="t m0 x9 h4 y30 ff4 fs3 fc0 sc0 ls0 ws7">2.6.1<span class="_f blank"> </span>Uniforme<span class="_15 blank"> </span>. . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . .<span class="_16 blank"> </span>39</div><div class="t m0 x9 h4 y31 ff4 fs3 fc0 sc0 ls0 ws7">2.6.2<span class="_f blank"> </span>Exponencial<span class="_12 blank"> </span>. . . . . . . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. .<span class="_16 blank"> </span>40</div><div class="t m0 x9 h4 y32 ff4 fs3 fc0 sc0 ls0 ws7">2.6.3<span class="_f blank"> </span>Ra<span class="_5 blank"></span>y<span class="_8 blank"> </span>leigh<span class="_12 blank"> </span>. . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . .<span class="_16 blank"> </span>40</div><div class="t m0 x9 h4 y33 ff4 fs3 fc0 sc0 ls0 ws7">2.6.4<span class="_f blank"> </span>Gaussiana .<span class="_2 blank"> </span>. . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. .<span class="_16 blank"> </span>41</div><div class="t m0 x9 h4 y34 ff4 fs3 fc0 sc0 ls0 ws7">2.6.5<span class="_f blank"> </span>Gama<span class="_1d blank"> </span>. . . . . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. .<span class="_16 blank"> </span>45</div><div class="t m0 x9 h4 y35 ff4 fs3 fc0 sc0 ls0 ws7">2.6.6<span class="_f blank"> </span>m-Er<span class="_0 blank"></span>lang<span class="_15 blank"> </span>. . .<span class="_2 blank"> </span>. . . . . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. .<span class="_16 blank"> </span>46</div><div class="t m0 x9 h7 y36 ff4 fs3 fc0 sc0 ls0 wsc">2.6.7<span class="_f blank"> </span>Chi-Qu<span class="_0 blank"></span>adrado (<span class="ff7 ls2">\u03c7<span class="ff8 fs4 ls3 v1">2</span></span><span class="ls4 wsd">)<span class="_5 blank"></span>.......<span class="_0 blank"></span>.....<span class="_0 blank"></span>.......<span class="_0 blank"></span>.....<span class="_0 blank"></span>.. 4<span class="_1e blank"></span>7<span class="_1e blank"></span></span></div><div class="t m0 x9 h4 y37 ff4 fs3 fc0 sc0 ls0 ws7">2.6.8<span class="_f blank"> </span>Cauc<span class="_5 blank"></span>h<span class="_0 blank"></span>y<span class="_1b blank"> </span>. . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . .<span class="_16 blank"> </span>47</div><div class="t m0 x9 h4 y38 ff4 fs3 fc0 sc0 ls0 ws7">2.6.9<span class="_f blank"> </span>Lapl<span class="_0 blank"></span>ace<span class="_19 blank"> </span>. . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . .<span class="_16 blank"> </span>48</div><div class="t m0 x4 h4 y39 ff4 fs3 fc0 sc0 ls0 ws7">2.7<span class="_b blank"> </span>Densidades<span class="_6 blank"> </span>Condi<span class="_0 blank"></span>cionais . . . . . . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . .<span class="_16 blank"> </span>49</div><div class="t m0 x4 h4 y3a ff4 fs3 fc0 sc0 ls0 ws7">2.8<span class="_b blank"> </span>V<span class="_4 blank"></span>ariá<span class="_5 blank"></span>veis<span class="_6 blank"> </span>Aleatórias<span class="_6 blank"> </span>Múltiplas<span class="_2 blank"> </span>. . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . . . . .<span class="_16 blank"> </span>51</div><div class="t m0 x9 h4 y3b ff4 fs3 fc0 sc0 ls0 wse">2.8.1<span class="_f blank"> </span>F<span class="_4 blank"></span>unçã<span class="_0 blank"></span>o<span class="_6 blank"> </span>Distribuição<span class="_6 blank"> </span>de<span class="_6 blank"> </span>Probabilidade<span class="_6 blank"> </span>Conjun<span class="_0 blank"></span>ta<span class="_7 blank"> </span>. . . .<span class="_1 blank"> </span>.<span class="_1 blank"> </span>. . . . .<span class="_16 blank"> </span>51</div><div class="t m0 x9 h4 y3c ff4 fs3 fc0 sc0 ls0 ws7">2.8.2<span class="_f blank"> </span>Densidade<span class="_0 blank"></span>s<span class="_6 blank"> </span>marginais<span class="_1f blank"> </span>. . . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . .<span class="_16 blank"> </span>52</div><div class="t m0 x9 h4 y3d ff4 fs3 fc0 sc0 ls0 ws7">2.8.3<span class="_f blank"> </span>Caso<span class="_18 blank"> </span>mult<span class="_0 blank"></span>idimensional . . . . . . . .<span class="_2 blank"> </span>. . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. .<span class="_16 blank"> </span>53</div><div class="t m0 x9 h4 y3e ff4 fs3 fc0 sc0 ls0 ws7">2.8.4<span class="_f blank"> </span>F<span class="_4 blank"></span>unçã<span class="_0 blank"></span>o<span class="_6 blank"> </span>distribuição<span class="_6 blank"> </span>de<span class="_6 blank"> </span>probabilidade<span class="_6 blank"> </span>condicional<span class="_11 blank"> </span>. . . . . . . . .<span class="_16 blank"> </span>54</div><div class="t m0 x9 h4 y3f ff4 fs3 fc0 sc0 ls0 ws7">2.8.5<span class="_f blank"> </span>Independência<span class="_6 blank"> </span>Estatística<span class="_6 blank"> </span>de<span class="_6 blank"> </span>V<span class="_4 blank"></span>ariá<span class="_0 blank"></span>v<span class="_5 blank"></span>eis<span class="_3 blank"> </span>Aleatórias<span class="_e blank"> </span>. . . . . . .<span class="_2 blank"> </span>. .<span class="_16 blank"> </span>56</div><div class="t m0 x4 h4 y40 ff4 fs3 fc0 sc0 ls0 ws7">2.9<span class="_b blank"> </span>F<span class="_4 blank"></span>unções<span class="_6 blank"> </span>de<span class="_3 blank"> </span>V<span class="_4 blank"></span>ariá<span class="_5 blank"></span>veis<span class="_6 blank"> </span>Aleatórias<span class="_e blank"> </span>. . . . . . .<span class="_2 blank"> </span>. . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . . . . .<span class="_16 blank"> </span>56</div><div class="t m0 x9 h4 y41 ff4 fs3 fc0 sc0 ls0 ws7">2.9.1<span class="_f blank"> </span>Caso<span class="_18 blank"> </span>Unidimensional<span class="_7 blank"> </span>. . . . . . . . .<span class="_2 blank"> </span>. . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. .<span class="_16 blank"> </span>56</div><div class="t m0 x9 h4 y42 ff4 fs3 fc0 sc0 ls0 ws7">2.9.2<span class="_f blank"> </span>Caso<span class="_18 blank"> </span>Multidimensional<span class="_12 blank"> </span>. . . . . . . . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . .<span class="_16 blank"> </span>61</div><div class="t m0 x4 h4 y43 ff4 fs3 fc0 sc0 ls0 ws7">2.10 Exercícios<span class="_10 blank"> </span>. . . . . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . .<span class="_16 blank"> </span>64</div><div class="t m0 x8 h5 y44 ff5 fs3 fc0 sc0 ls0 wsf">3<span class="_15 blank"> </span>Médias Estatísticas de V<span class="_4 blank"></span>ariá<span class="_0 blank"></span>v<span class="_5 blank"></span>eis<span class="_12 blank"> </span>Aleatórias<span class="_20 blank"> </span>72</div><div class="t m0 x4 h4 y45 ff4 fs3 fc0 sc0 ls0 ws7">3.1<span class="_b blank"> </span>Médias<span class="_12 blank"> </span>. . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . .<span class="_16 blank"> </span>72</div><div class="t m0 x9 h4 y46 ff4 fs3 fc0 sc0 ls0 ws7">3.1.1<span class="_f blank"> </span>Média<span class="_6 blank"> </span>de<span class="_18 blank"> </span>uma<span class="_6 blank"> </span>V<span class="_4 blank"></span>ariáv<span class="_5 blank"></span>el<span class="_3 blank"> </span>Aleatória<span class="_10 blank"> </span>. .<span class="_2 blank"> </span>. . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. .<span class="_16 blank"> </span>72</div><div class="t m0 x9 h4 y47 ff4 fs3 fc0 sc0 ls0 ws7">3.1.2<span class="_f blank"> </span>Média<span class="_6 blank"> </span>de<span class="_18 blank"> </span>uma<span class="_6 blank"> </span>F<span class="_4 blank"></span>unção<span class="_3 blank"> </span>de<span class="_6 blank"> </span>uma<span class="_6 blank"> </span>V<span class="_4 blank"></span>ariá<span class="_5 blank"></span>vel<span class="_6 blank"> </span>Aleatória<span class="_10 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . .<span class="_16 blank"> </span>74</div><div class="t m0 x9 h4 y48 ff4 fs3 fc0 sc0 ls0 ws7">3.1.3<span class="_f blank"> </span>Médias<span class="_18 blank"> </span>para<span class="_6 blank"> </span>V<span class="_4 blank"></span>ariáv<span class="_5 blank"></span>eis<span class="_3 blank"> </span>Múltiplas<span class="_1f blank"> </span>. . . . . . . . . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. .<span class="_16 blank"> </span>75</div><div class="t m0 x9 h4 y49 ff4 fs3 fc0 sc0 ls0 ws7">3.1.4<span class="_f blank"> </span>Média<span class="_6 blank"> </span>da<span class="_18 blank"> </span>Soma<span class="_6 blank"> </span>de<span class="_3 blank"> </span>F<span class="_4 blank"></span>unções<span class="_c blank"> </span>. . . . . . . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. .<span class="_16 blank"> </span>76</div><div class="t m0 x9 h4 y4a ff4 fs3 fc0 sc0 ls0 ws10">3.1.5<span class="_f blank"> </span>Média do<span class="_18 blank"> </span>Pro<span class="_8 blank"> </span>duto de Duas V<span class="_4 blank"></span>ariá<span class="_5 blank"></span>veis Aleatórias Indepen<span class="_8 blank"> </span>den<span class="_5 blank"></span>tes<span class="_15 blank"> </span>.<span class="_16 blank"> </span>77</div><div class="t m0 x9 h4 y4b ff4 fs3 fc0 sc0 ls0 ws10">3.1.6<span class="_f blank"> </span>Média Qua<span class="_0 blank"></span>drática da Som<span class="_0 blank"></span>a de Duas V<span class="_4 blank"></span>ariá<span class="_5 blank"></span>ve<span class="_0 blank"></span>is Aleatórias<span class="_3 blank"> </span>.<span class="_1 blank"> </span>.<span class="_2 blank"> </span>.<span class="_2 blank"> </span>.<span class="_1 blank"> </span>.<span class="_16 blank"> </span>77</div><div class="t m0 x9 h4 y4c ff4 fs3 fc0 sc0 ls0 ws7">3.1.7<span class="_f blank"> </span>Média<span class="_6 blank"> </span>condici<span class="_0 blank"></span>onal<span class="_1b blank"> </span>. . . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. .<span class="_16 blank"> </span>78</div><div class="t m0 x4 h4 y4d ff4 fs3 fc0 sc0 ls0 ws7">3.2<span class="_b blank"> </span>Momen<span class="_5 blank"></span>tos<span class="_e blank"> </span>. .<span class="_2 blank"> </span>. . . . . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. .<span class="_16 blank"> </span>78</div><div class="t m0 x9 h4 y4e ff4 fs3 fc0 sc0 ls0 ws11">3.2.1 <span class="ff7 ls5">N</span><span class="ws7">-ésimo<span class="_6 blank"> </span>momen<span class="_5 blank"></span>to<span class="_c blank"> </span>. . . . . . .<span class="_2 blank"> </span>. . . . . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. .<span class="_16 blank"> </span>78</span></div><div class="t m0 x9 h4 y4f ff4 fs3 fc0 sc0 ls0 ws7">3.2.2<span class="_f blank"> </span>Momen<span class="_5 blank"></span>tos<span class="_6 blank"> </span>Cent<span class="_0 blank"></span>rais<span class="_12 blank"> </span>. . . . . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . .<span class="_16 blank"> </span>79</div><div class="t m0 x9 h4 y50 ff4 fs3 fc0 sc0 ls0 ws7">3.2.3<span class="_f blank"> </span>V<span class="_4 blank"></span>ariânc<span class="_0 blank"></span>ia<span class="_19 blank"> </span>. . . . . . . .<span class="_2 blank"> </span>. . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . .<span class="_16 blank"> </span>79</div><div class="t m0 x9 h4 y51 ff4 fs3 fc0 sc0 ls0 ws7">3.2.4<span class="_f blank"> </span>Caso<span class="_18 blank"> </span>Multidimensional<span class="_12 blank"> </span>. . . . . . . . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . .<span class="_16 blank"> </span>80</div><div class="t m0 x9 h4 y52 ff4 fs3 fc0 sc0 ls0 ws7">3.2.5<span class="_f blank"> </span>V<span class="_4 blank"></span>ariá<span class="_5 blank"></span>vei<span class="_0 blank"></span>s<span class="_3 blank"> </span>Aleatórias<span class="_18 blank"> </span>Des<span class="_8 blank"> </span>correlacion<span class="_0 blank"></span>adas<span class="_3 blank"> </span>e<span class="_6 blank"> </span>Ortogonais . . . . . . .<span class="_16 blank"> </span>82</div><div class="t m0 x4 h4 y53 ff4 fs3 fc0 sc0 ls0 ws7">3.3<span class="_b blank"> </span>F<span class="_4 blank"></span>unções<span class="_6 blank"> </span>Características<span class="_b blank"> </span>. . . . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . . . . .<span class="_16 blank"> </span>83</div><div class="t m0 x9 h4 y54 ff4 fs3 fc0 sc0 ls0 ws7">3.3.1<span class="_f blank"> </span>Caso<span class="_18 blank"> </span>mult<span class="_0 blank"></span>idimensional . . . . . . . .<span class="_2 blank"> </span>. . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. .<span class="_16 blank"> </span>85</div><div class="t m0 x4 h4 y55 ff4 fs3 fc0 sc0 ls0 ws7">3.4<span class="_b blank"> </span>Exercícios<span class="_10 blank"> </span>. .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . .<span class="_2 blank"> </span>. . . . . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. .<span class="_16 blank"> </span>86</div><div class="t m0 x8 h5 y56 ff5 fs3 fc0 sc0 ls0 ws12">4<span class="_15 blank"> </span>Méto dos<span class="_12 blank"> </span>computacionais<span class="_12 blank"> </span>para<span class="_3 blank"> </span>geração<span class="_12 blank"> </span>de<span class="_12 blank"> </span>números<span class="_6 blank"> </span>aleatórios<span class="_21 blank"> </span>90</div><div class="t m0 x4 h4 y57 ff4 fs3 fc0 sc0 ls0 ws7">4.1<span class="_b blank"> </span>In<span class="_0 blank"></span>trodução<span class="_18 blank"> </span>. . . . . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . . . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. .<span class="_16 blank"> </span>90</div><div class="t m0 x4 h4 y58 ff4 fs3 fc0 sc0 ls0 ws7">4.2<span class="_b blank"> </span>Méto<span class="_8 blank"> </span>do<span class="_6 blank"> </span>do<span class="_6 blank"> </span>resíduo<span class="_6 blank"> </span>da<span class="_6 blank"> </span>p<span class="_8 blank"> </span>otência<span class="_c blank"> </span>. . . . . . .<span class="_2 blank"> </span>. . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. .<span class="_16 blank"> </span>90</div><div class="t m0 x4 h4 y59 ff4 fs3 fc0 sc0 ls0 ws7">4.3<span class="_b blank"> </span>Méto<span class="_8 blank"> </span>do<span class="_6 blank"> </span>da<span class="_6 blank"> </span>transformada<span class="_22 blank"> </span>. . . . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. .<span class="_16 blank"> </span>92</div></div><div class="pi" data-data='{"ctm":[1.000000,0.000000,0.000000,1.000000,0.000000,0.000000]}'></div></div> <div id="pf5" class="pf w0 h0" data-page-no="5"><div class="pc pc5 w0 h0"><img fetchpriority="low" loading="lazy" class="bi x5 y2a w1 h6" alt="" src="https://files.passeidireto.com/d8792c25-3b38-4bec-bba4-a6d2708f7d70/bg5.png"><div class="t m0 x5 h5 y2b ff5 fs3 fc0 sc0 ls0 ws13">iv SUMÁRIO</div><div class="t m0 x6 h4 y2c ff4 fs3 fc0 sc0 ls0 ws7">4.4<span class="_b blank"> </span>O<span class="_6 blank"> </span>méto<span class="_8 blank"> </span>do<span class="_6 blank"> </span>da<span class="_6 blank"> </span>rejeição<span class="_6 blank"> </span>. . . . . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . .<span class="_16 blank"> </span>94</div><div class="t m0 x6 h4 y5a ff4 fs3 fc0 sc0 ls0 ws7">4.5<span class="_b blank"> </span>Geração<span class="_6 blank"> </span>de<span class="_6 blank"> </span>funçõ<span class="_8 blank"> </span>es<span class="_6 blank"> </span>de<span class="_6 blank"> </span>uma<span class="_6 blank"> </span>v<span class="_5 blank"></span>ariá<span class="_0 blank"></span>v<span class="_0 blank"></span>el<span class="_6 blank"> </span>aleatória<span class="_19 blank"> </span>. . . . . . .<span class="_2 blank"> </span>. . . . . . . .<span class="_16 blank"> </span>97</div><div class="t m0 x6 h4 y5b ff4 fs3 fc0 sc0 ls0 ws7">4.6<span class="_b blank"> </span>Geração<span class="_6 blank"> </span>de<span class="_6 blank"> </span>misturas<span class="_6 blank"> </span>de<span class="_6 blank"> </span>v<span class="_5 blank"></span>ariá<span class="_0 blank"></span>v<span class="_0 blank"></span>eis<span class="_6 blank"> </span>aleatórias<span class="_1f blank"> </span>. . . . . . . .<span class="_2 blank"> </span>. . . . . . . .<span class="_16 blank"> </span>98</div><div class="t m0 x6 h4 y5c ff4 fs3 fc0 sc0 ls0 ws7">4.7<span class="_b blank"> </span>Exercícios<span class="_10 blank"> </span>. . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . . . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . . .<span class="_16 blank"> </span>98</div><div class="t m0 x5 h5 y5d ff5 fs3 fc0 sc0 ls0 ws14">5<span class="_15 blank"> </span>Somas<span class="_12 blank"> </span>de V<span class="_4 blank"></span>ariá<span class="_5 blank"></span>ve<span class="_0 blank"></span>is<span class="_12 blank"> </span>Aleatórias<span class="_12 blank"> </span>e o T<span class="_4 blank"></span>eorema do Limite Central<span class="_23 blank"> </span>100</div><div class="t m0 x6 h4 y5e ff4 fs3 fc0 sc0 ls0 ws7">5.1<span class="_b blank"> </span>In<span class="_0 blank"></span>trodução<span class="_18 blank"> </span>. . . . . . . . .<span class="_2 blank"> </span>. . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . . . . .<span class="_2 blank"> </span>. . . . .<span class="_24 blank"> </span>100</div><div class="t m0 x6 h4 y5f ff4 fs3 fc0 sc0 ls0 ws7">5.2<span class="_b blank"> </span>Médias<span class="_6 blank"> </span>de<span class="_6 blank"> </span>somas<span class="_1d blank"> </span>. . . . . . . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . .<span class="_24 blank"> </span>100</div><div class="t m0 x6 h4 y60 ff4 fs3 fc0 sc0 ls0 ws7">5.3<span class="_b blank"> </span>F<span class="_4 blank"></span>dp<span class="_6 blank"> </span>da<span class="_6 blank"> </span>soma<span class="_6 blank"> </span>de<span class="_6 blank"> </span>duas<span class="_6 blank"> </span>v.a.\u2019s<span class="_1b blank"> </span>. . . . . .<span class="_2 blank"> </span>. . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . . .<span class="_24 blank"> </span>10<span class="_8 blank"> </span>3</div><div class="t m0 x6 h4 y61 ff4 fs3 fc0 sc0 ls0 ws7">5.4<span class="_b blank"> </span>F<span class="_4 blank"></span>unção<span class="_6 blank"> </span>geratriz<span class="_6 blank"> </span>de<span class="_6 blank"> </span>momen<span class="_5 blank"></span>tos<span class="_1d blank"> </span>. . . . . . . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . . .<span class="_11 blank"> </span>105</div><div class="t m0 x6 h4 y62 ff4 fs3 fc0 sc0 ls0 ws7">5.5<span class="_b blank"> </span>F<span class="_0 blank"></span>GM<span class="_6 blank"> </span>da<span class="_6 blank"> </span>soma<span class="_6 blank"> </span>de<span class="_6 blank"> </span>v.a.\u2019s<span class="_6 blank"> </span>independen<span class="_0 blank"></span>tes<span class="_19 blank"> </span>. . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . . .<span class="_11 blank"> </span>109</div><div class="t m0 x6 h4 y63 ff4 fs3 fc0 sc0 ls0 ws7">5.6<span class="_b blank"> </span>Somas<span class="_6 blank"> </span>de<span class="_6 blank"> </span>v.a.\u2019s<span class="_6 blank"> </span>gaussianas<span class="_6 blank"> </span>independen<span class="_0 blank"></span>tes<span class="_1f blank"> </span>. . . . . . .<span class="_2 blank"> </span>. . . . . . . . . .<span class="_24 blank"> </span>111</div><div class="t m0 x6 h4 y64 ff4 fs3 fc0 sc0 ls0 ws7">5.7<span class="_b blank"> </span>Somas<span class="_6 blank"> </span>aleatórias<span class="_6 blank"> </span>de<span class="_6 blank"> </span>v.a.\u2019s<span class="_6 blank"> </span>independen<span class="_0 blank"></span>tes<span class="_13 blank"> </span>. . . . . .<span class="_2 blank"> </span>. . . .<span class="_2 blank"> </span>. . . . . . . .<span class="_24 blank"> </span>112</div><div class="t m0 x6 h4 y65 ff4 fs3 fc0 sc0 ls0 ws7">5.8<span class="_b blank"> </span>T<span class="_4 blank"></span>eorema<span class="_6 blank"> </span>do<span class="_6 blank"> </span>limite<span class="_6 blank"> </span>cen<span class="_0 blank"></span>tral<span class="_1d blank"> </span>. . . . . . . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . .<span class="_11 blank"> </span>116</div><div class="t m0 x6 h4 y66 ff4 fs3 fc0 sc0 ls0 ws7">5.9<span class="_b blank"> </span>Aplicações<span class="_3 blank"> </span>do<span class="_6 blank"> </span>T<span class="_4 blank"></span>eorema<span class="_6 blank"> </span>do<span class="_6 blank"> </span>Limite<span class="_6 blank"> </span>Cen<span class="_5 blank"></span>tral<span class="_25 blank"> </span>. . . . . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . . .<span class="_24 blank"> </span>118</div><div class="t m0 x6 h4 y67 ff4 fs3 fc0 sc0 ls0 ws7">5.10 Exercícios<span class="_10 blank"> </span>. . . . . . . . .<span class="_2 blank"> </span>. . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . .<span class="_24 blank"> </span>12<span class="_8 blank"> </span>0</div><div class="t m0 x5 h5 y68 ff5 fs3 fc0 sc0 ls0 ws15">6<span class="_15 blank"> </span>Limitan<span class="_0 blank"></span>tes<span class="_12 blank"> </span>Sup eriores<span class="_3 blank"> </span>para<span class="_12 blank"> </span>a<span class="_12 blank"> </span>Probabilidade<span class="_3 blank"> </span>de<span class="_12 blank"> </span>Cauda<span class="_26 blank"> </span>125</div><div class="t m0 x6 h4 y69 ff4 fs3 fc0 sc0 ls0 ws7">6.1<span class="_b blank"> </span>Desigualdade<span class="_6 blank"> </span>de<span class="_6 blank"> </span>Mark<span class="_0 blank"></span>o<span class="_0 blank"></span>v<span class="_1 blank"> </span>. . . . . . . .<span class="_2 blank"> </span>. . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . . .<span class="_24 blank"> </span>1<span class="_8 blank"> </span>25</div><div class="t m0 x6 h4 y6a ff4 fs3 fc0 sc0 ls0 ws7">6.2<span class="_b blank"> </span>Desigualdade<span class="_6 blank"> </span>de<span class="_6 blank"> </span>Cheb<span class="_0 blank"></span>yshev<span class="_24 blank"> </span>. . . . . . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . .<span class="_11 blank"> </span>126</div><div class="t m0 x6 h4 y6b ff4 fs3 fc0 sc0 ls0 ws7">6.3<span class="_b blank"> </span>Limitan<span class="_5 blank"></span>te<span class="_3 blank"> </span>de<span class="_6 blank"> </span>Cherno\ufb00<span class="_c blank"> </span>. . . . . . . . . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . .<span class="_24 blank"> </span>12<span class="_8 blank"> </span>8</div><div class="t m0 x6 h4 y6c ff4 fs3 fc0 sc0 ls0 ws7">6.4<span class="_b blank"> </span>Exercícios<span class="_10 blank"> </span>. . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . . . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . . .<span class="_24 blank"> </span>129</div><div class="t m0 x5 h5 y6d ff5 fs3 fc0 sc0 ls0 ws16">7<span class="_15 blank"> </span>A média amostral<span class="_27 blank"> </span>132</div><div class="t m0 x6 h4 y6e ff4 fs3 fc0 sc0 ls0 ws7">7.1<span class="_b blank"> </span>In<span class="_0 blank"></span>trodução<span class="_18 blank"> </span>. . . . . . . . .<span class="_2 blank"> </span>. . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . . . . .<span class="_2 blank"> </span>. . . . .<span class="_24 blank"> </span>132</div><div class="t m0 x6 h4 y6f ff4 fs3 fc0 sc0 ls0 ws7">7.2<span class="_b blank"> </span>V<span class="_4 blank"></span>alor<span class="_6 blank"> </span>esp<span class="_8 blank"> </span>erado<span class="_6 blank"> </span>e<span class="_6 blank"> </span>v<span class="_5 blank"></span>ariância<span class="_e blank"> </span>. . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. .<span class="_1 blank"> </span>.<span class="_11 blank"> </span>13<span class="_0 blank"></span>2</div><div class="t m0 x6 h4 y70 ff4 fs3 fc0 sc0 ls0 ws7">7.3<span class="_b blank"> </span>Média<span class="_6 blank"> </span>amostral<span class="_6 blank"> </span>de<span class="_6 blank"> </span>n<span class="_0 blank"></span>úmeros<span class="_6 blank"> </span>grandes<span class="_1b blank"> </span>. . . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . . .<span class="_11 blank"> </span>134</div><div class="t m0 x6 h4 y71 ff4 fs3 fc0 sc0 ls0 ws7">7.4<span class="_b blank"> </span>Leis<span class="_6 blank"> </span>de<span class="_6 blank"> </span>Números<span class="_6 blank"> </span>Grandes<span class="_c blank"> </span>. . . . . . . . . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . . .<span class="_24 blank"> </span>13<span class="_8 blank"> </span>5</div><div class="t m0 x7 h4 y72 ff4 fs3 fc0 sc0 ls0 ws7">7.4.1<span class="_f blank"> </span>Lei<span class="_6 blank"> </span>F<span class="_4 blank"></span>raca<span class="_6 blank"> </span>de<span class="_6 blank"> </span>Números<span class="_6 blank"> </span>Grandes<span class="_11 blank"> </span>. . . . . . . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . . .<span class="_24 blank"> </span>136</div><div class="t m0 x7 h4 y73 ff4 fs3 fc0 sc0 ls0 ws7">7.4.2<span class="_f blank"> </span>Lei<span class="_6 blank"> </span>F<span class="_4 blank"></span>orte<span class="_6 blank"> </span>de<span class="_6 blank"> </span>Números<span class="_6 blank"> </span>Grandes<span class="_19 blank"> </span>. . . . . . .<span class="_2 blank"> </span>. . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . .<span class="_24 blank"> </span>137</div><div class="t m0 x6 h4 y74 ff4 fs3 fc0 sc0 ls0 ws7">7.5<span class="_b blank"> </span>Exercícios<span class="_10 blank"> </span>. . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . . . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . . .<span class="_24 blank"> </span>138</div><div class="t m0 x5 h5 y75 ff5 fs3 fc0 sc0 ls0 ws12">8<span class="_15 blank"> </span>Pro cessos<span class="_12 blank"> </span>Esto cásticos<span class="_28 blank"> </span>140</div><div class="t m0 x6 h4 y76 ff4 fs3 fc0 sc0 ls0 ws7">8.1<span class="_b blank"> </span>De\ufb01nição<span class="_1f blank"> </span>. . . . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . . . . .<span class="_2 blank"> </span>. . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . .<span class="_24 blank"> </span>140</div><div class="t m0 x6 h4 y77 ff4 fs3 fc0 sc0 ls0 ws7">8.2<span class="_b blank"> </span>Tip<span class="_8 blank"> </span>os<span class="_6 blank"> </span>de<span class="_6 blank"> </span>pro<span class="_8 blank"> </span>cesos<span class="_6 blank"> </span>esto<span class="_8 blank"> </span>cásticos<span class="_12 blank"> </span>. . . . . . . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . . .<span class="_11 blank"> </span>142</div><div class="t m0 x6 h4 y78 ff4 fs3 fc0 sc0 ls0 ws7">8.3<span class="_b blank"> </span>V<span class="_4 blank"></span>ariá<span class="_5 blank"></span>veis<span class="_6 blank"> </span>aleatórias<span class="_6 blank"> </span>a<span class="_6 blank"> </span>partir<span class="_6 blank"> </span>de<span class="_6 blank"> </span>pro<span class="_8 blank"> </span>cessos<span class="_6 blank"> </span>esto<span class="_8 blank"> </span>cásticos<span class="_e blank"> </span>.<span class="_2 blank"> </span>. . . . . . .<span class="_2 blank"> </span>. . .<span class="_24 blank"> </span>143</div><div class="t m0 x6 h4 y79 ff4 fs3 fc0 sc0 ls0 ws17">8.4<span class="_b blank"> </span>Sequências<span class="_6 blank"> </span>aleatórias in<span class="_0 blank"></span>dep<span class="_8 blank"> </span>enden<span class="_5 blank"></span>tes e iden<span class="_5 blank"></span>ticamen<span class="_5 blank"></span>te<span class="_12 blank"> </span>distribuídas<span class="_15 blank"> </span>.<span class="_2 blank"> </span>.<span class="_1 blank"> </span>.<span class="_2 blank"> </span>.<span class="_11 blank"> </span>145</div><div class="t m0 x6 h4 y7a ff4 fs3 fc0 sc0 ls0 ws7">8.5<span class="_b blank"> </span>Pro<span class="_8 blank"> </span>cesso<span class="_6 blank"> </span>de<span class="_6 blank"> </span>Con<span class="_5 blank"></span>tagem<span class="_10 blank"> </span>. . . . . . . . .<span class="_2 blank"> </span>. . . .<span class="_2 blank"> </span>. . . . . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . .<span class="_24 blank"> </span>14<span class="_8 blank"> </span>7</div><div class="t m0 x6 h4 y7b ff4 fs3 fc0 sc0 ls0 ws7">8.6<span class="_b blank"> </span>Pro<span class="_8 blank"> </span>cesso<span class="_6 blank"> </span>de<span class="_6 blank"> </span>P<span class="_0 blank"></span>oisson<span class="_1f blank"> </span>. . . . . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . . . . .<span class="_2 blank"> </span>. . . . .<span class="_24 blank"> </span>14<span class="_8 blank"> </span>8</div><div class="t m0 x6 h4 y7c ff4 fs3 fc0 sc0 ls0 ws7">8.7<span class="_b blank"> </span>Pro<span class="_8 blank"> </span>cesso<span class="_6 blank"> </span>sinal<span class="_6 blank"> </span>telegrá\ufb01co<span class="_6 blank"> </span>aleatório<span class="_1b blank"> </span>. . . . . . . . .<span class="_2 blank"> </span>. . . .<span class="_2 blank"> </span>. . . . . . . .<span class="_24 blank"> </span>152</div><div class="t m0 x6 h4 y7d ff4 fs3 fc0 sc0 ls0 ws7">8.8<span class="_b blank"> </span>Pro<span class="_8 blank"> </span>cesso<span class="_6 blank"> </span>mo<span class="_0 blank"></span>vimen<span class="_5 blank"></span>to<span class="_3 blank"> </span>Bro<span class="_0 blank"></span>wniano .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . .<span class="_11 blank"> </span>154</div><div class="t m0 x6 h4 y7e ff4 fs3 fc0 sc0 ls0 ws7">8.9<span class="_b blank"> </span>Médias<span class="_6 blank"> </span>estatísticas<span class="_6 blank"> </span>de<span class="_6 blank"> </span>pro<span class="_8 blank"> </span>cessos<span class="_6 blank"> </span>aleatórios<span class="_10 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . . . . .<span class="_2 blank"> </span>. . . . .<span class="_24 blank"> </span>155</div><div class="t m0 x7 h4 y7f ff4 fs3 fc0 sc0 ls0 ws7">8.9.1<span class="_f blank"> </span>Momen<span class="_5 blank"></span>tos . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . . .<span class="_24 blank"> </span>159</div><div class="t m0 x7 h4 y80 ff4 fs3 fc0 sc0 ls0 ws7">8.9.2<span class="_f blank"> </span>F<span class="_4 blank"></span>unção<span class="_6 blank"> </span>de<span class="_6 blank"> </span>auto<span class="_8 blank"> </span>co<span class="_5 blank"></span>v<span class="_0 blank"></span>ariância<span class="_12 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . .<span class="_24 blank"> </span>1<span class="_8 blank"> </span>59</div><div class="t m0 x6 h4 y81 ff4 fs3 fc0 sc0 ls0 ws7">8.10 Classi\ufb01cação<span class="_6 blank"> </span>dos<span class="_6 blank"> </span>pro<span class="_8 blank"> </span>cessos<span class="_6 blank"> </span>esto<span class="_14 blank"> </span>cásticos<span class="_12 blank"> </span>. . . . . . . . .<span class="_2 blank"> </span>. . . . . . . . . .<span class="_24 blank"> </span>160</div><div class="t m0 x7 h4 y82 ff4 fs3 fc0 sc0 ls0 ws7">8.10.1<span class="_10 blank"> </span>Processos<span class="_6 blank"> </span>esto<span class="_8 blank"> </span>cásticos<span class="_6 blank"> </span>estacionários<span class="_6 blank"> </span>e<span class="_6 blank"> </span>não<span class="_6 blank"> </span>estacionários<span class="_22 blank"> </span>. . . . . .<span class="_24 blank"> </span>160</div><div class="t m0 x7 h4 y83 ff4 fs3 fc0 sc0 ls0 ws7">8.10.2<span class="_10 blank"> </span>Processos<span class="_6 blank"> </span>estacionários<span class="_6 blank"> </span>no<span class="_6 blank"> </span>sen<span class="_0 blank"></span>tido<span class="_6 blank"> </span>amplo<span class="_6 blank"> </span>. . . . . . . . . . . . . .<span class="_24 blank"> </span>161</div><div class="t m0 x7 h4 y84 ff4 fs3 fc0 sc0 ls0 ws7">8.10.3<span class="_10 blank"> </span>Processos<span class="_6 blank"> </span>ergó<span class="_8 blank"> </span>dicos<span class="_6 blank"> </span>. . . . . . .<span class="_2 blank"> </span>. . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . . .<span class="_24 blank"> </span>1<span class="_8 blank"> </span>64</div><div class="t m0 x6 h4 y85 ff4 fs3 fc0 sc0 ls0 ws7">8.11 Exercícios<span class="_10 blank"> </span>. . . . . . . . .<span class="_2 blank"> </span>. . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . .<span class="_24 blank"> </span>16<span class="_8 blank"> </span>6</div></div><div class="pi" data-data='{"ctm":[1.000000,0.000000,0.000000,1.000000,0.000000,0.000000]}'></div></div> <div id="pf6" class="pf w0 h0" data-page-no="6"><div class="pc pc6 w0 h0"><img fetchpriority="low" loading="lazy" class="bi x7 y2a w1 h6" alt="" src="https://files.passeidireto.com/d8792c25-3b38-4bec-bba4-a6d2708f7d70/bg6.png"><div class="t m0 x8 h5 y2b ff5 fs3 fc0 sc0 ls0 ws18">SUMÁRIO v</div><div class="t m0 x8 h5 y2c ff5 fs3 fc0 sc0 ls0 ws12">9<span class="_15 blank"> </span>Pr o cessamen<span class="_5 blank"></span>to<span class="_12 blank"> </span>de<span class="_12 blank"> </span>Sinais<span class="_3 blank"> </span>Aleatórios<span class="_29 blank"> </span>173</div><div class="t m0 x4 h4 y86 ff4 fs3 fc0 sc0 ls0 ws7">9.1<span class="_b blank"> </span>Sistemas<span class="_6 blank"> </span>lineares<span class="_6 blank"> </span>e<span class="_6 blank"> </span>in<span class="_5 blank"></span>v<span class="_0 blank"></span>arian<span class="_5 blank"></span>tes<span class="_3 blank"> </span>no<span class="_6 blank"> </span>temp<span class="_8 blank"> </span>o<span class="_13 blank"> </span>. . . . . .<span class="_2 blank"> </span>. . . . . . . . . .<span class="_2 blank"> </span>. .<span class="_11 blank"> </span>173</div><div class="t m0 x4 h4 y87 ff4 fs3 fc0 sc0 ls0 ws7">9.2<span class="_b blank"> </span>Filtragem<span class="_6 blank"> </span>linear<span class="_6 blank"> </span>de<span class="_6 blank"> </span>um<span class="_6 blank"> </span>pro<span class="_8 blank"> </span>cesso<span class="_6 blank"> </span>esto<span class="_8 blank"> </span>cástico<span class="_11 blank"> </span>. . . . . . .<span class="_2 blank"> </span>. . . . . . . . .<span class="_24 blank"> </span>174</div><div class="t m0 x4 h4 y88 ff4 fs3 fc0 sc0 ls0 ws7">9.3<span class="_b blank"> </span>Esp<span class="_8 blank"> </span>ectro<span class="_6 blank"> </span>densidade<span class="_6 blank"> </span>de<span class="_6 blank"> </span>potência<span class="_13 blank"> </span>. . . . . . .<span class="_2 blank"> </span>. . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . . . . .<span class="_11 blank"> </span>177</div><div class="t m0 x4 h4 y89 ff4 fs3 fc0 sc0 ls0 ws7">9.4<span class="_b blank"> </span>Correlações<span class="_3 blank"> </span>cruzadas<span class="_e blank"> </span>. . . . . .<span class="_2 blank"> </span>. . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . .<span class="_11 blank"> </span>181</div><div class="t m0 x9 h4 y8a ff4 fs3 fc0 sc0 ls0 ws7">9.4.1<span class="_f blank"> </span>F<span class="_4 blank"></span>unçã<span class="_0 blank"></span>o<span class="_6 blank"> </span>de<span class="_6 blank"> </span>correlação<span class="_6 blank"> </span>cruzada<span class="_10 blank"> </span>. . . .<span class="_2 blank"> </span>. . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. .<span class="_11 blank"> </span>181</div><div class="t m0 x9 h4 y8b ff4 fs3 fc0 sc0 ls0 ws7">9.4.2<span class="_f blank"> </span>Densidade<span class="_18 blank"> </span>esp<span class="_14 blank"> </span>ectral<span class="_6 blank"> </span>cruzada<span class="_6 blank"> </span>. . . . . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . .<span class="_11 blank"> </span>184</div><div class="t m0 x9 h4 y8c ff4 fs3 fc0 sc0 ls0 ws7">9.4.3<span class="_f blank"> </span>Filtrage<span class="_0 blank"></span>m<span class="_6 blank"> </span>de<span class="_6 blank"> </span>pro<span class="_8 blank"> </span>cessos<span class="_6 blank"> </span>esto<span class="_8 blank"> </span>cásticos . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . .<span class="_11 blank"> </span>186</div><div class="t m0 x4 h4 y8d ff4 fs3 fc0 sc0 ls0 ws7">9.5<span class="_b blank"> </span>Pro<span class="_8 blank"> </span>cessos<span class="_6 blank"> </span>gaussianos<span class="_10 blank"> </span>.<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . .<span class="_11 blank"> </span>188</div><div class="t m0 x4 h4 y8e ff4 fs3 fc0 sc0 ls0 ws7">9.6<span class="_b blank"> </span>Pro<span class="_8 blank"> </span>cesso<span class="_6 blank"> </span>ruído<span class="_6 blank"> </span>branco<span class="_6 blank"> </span>gaussiano<span class="_1f blank"> </span>. . . . . . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . .<span class="_11 blank"> </span>191</div><div class="t m0 x4 h4 y8f ff4 fs3 fc0 sc0 ls0 ws7">9.7<span class="_b blank"> </span>Exercícios<span class="_10 blank"> </span>. .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . .<span class="_2 blank"> </span>. . . . . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. .<span class="_11 blank"> </span>19<span class="_0 blank"></span>3</div><div class="t m0 x8 h5 y90 ff5 fs3 fc0 sc0 ls0 ws19">10 Cadeias d<span class="_8 blank"> </span>e<span class="_3 blank"> </span>Marko<span class="_5 blank"></span>v<span class="_2a blank"> </span>199</div><div class="t m0 x4 h4 y91 ff4 fs3 fc0 sc0 ls0 ws7">10.1 Pro<span class="_8 blank"> </span>cessos<span class="_6 blank"> </span>de<span class="_6 blank"> </span>Marko<span class="_5 blank"></span>v<span class="_13 blank"> </span>. . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. .<span class="_11 blank"> </span>199</div><div class="t m0 x4 h4 y92 ff4 fs3 fc0 sc0 ls0 ws7">10.2 Cadeias<span class="_6 blank"> </span>de<span class="_6 blank"> </span>Mark<span class="_0 blank"></span>o<span class="_0 blank"></span>v<span class="_6 blank"> </span>de<span class="_6 blank"> </span>T<span class="_4 blank"></span>emp<span class="_8 blank"> </span>o<span class="_6 blank"> </span>discreto<span class="_1d blank"> </span>. . . . . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . . . . .<span class="_11 blank"> </span>20<span class="_0 blank"></span>2</div><div class="t m0 x9 h4 y93 ff4 fs3 fc0 sc0 ls0 ws1a">10.2.1<span class="_2b blank"> </span>Probabilid<span class="_0 blank"></span>ade<span class="_6 blank"> </span>de transição para<span class="_3 blank"> </span><span class="ff7 ls6">n</span><span class="ws7">passos<span class="_1c blank"> </span>. . . . . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. .<span class="_11 blank"> </span>203</span></div><div class="t m0 x9 h4 y94 ff4 fs3 fc0 sc0 ls0 ws7">10.2.2<span class="_2b blank"> </span>Probabilid<span class="_0 blank"></span>ades<span class="_6 blank"> </span>dos<span class="_3 blank"> </span>estados<span class="_1f blank"> </span>. . . . . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . .<span class="_11 blank"> </span>204</div><div class="t m0 x9 h4 y95 ff4 fs3 fc0 sc0 ls0 ws7">10.2.3<span class="_2b blank"> </span>Probabilid<span class="_0 blank"></span>ades<span class="_6 blank"> </span>em<span class="_6 blank"> </span>regime<span class="_24 blank"> </span>. . . . . . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . .<span class="_24 blank"> </span>2<span class="_8 blank"> </span>06</div><div class="t m0 x4 h4 y96 ff4 fs3 fc0 sc0 ls0 ws7">10.3 Cadeias<span class="_6 blank"> </span>de<span class="_6 blank"> </span>Mark<span class="_0 blank"></span>o<span class="_0 blank"></span>v<span class="_6 blank"> </span>em<span class="_6 blank"> </span>temp<span class="_8 blank"> </span>o<span class="_6 blank"> </span>con<span class="_5 blank"></span>tínuo<span class="_22 blank"> </span>. . . . . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . . . . .<span class="_11 blank"> </span>20<span class="_0 blank"></span>7</div><div class="t m0 x9 h4 y97 ff4 fs3 fc0 sc0 ls0 ws7">10.3.1<span class="_2b blank"> </span>T<span class="_4 blank"></span>empos<span class="_3 blank"> </span>de<span class="_6 blank"> </span>o<span class="_8 blank"> </span>cupação<span class="_6 blank"> </span>de<span class="_6 blank"> </span>estados<span class="_12 blank"> </span>. . . . . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. .<span class="_11 blank"> </span>209</div><div class="t m0 x9 h4 y98 ff4 fs3 fc0 sc0 ls0 ws1b">10.3.2<span class="_2b blank"> </span>T<span class="_4 blank"></span>axas de transição e probabilidades de estados dep<span class="_8 blank"> </span>enden<span class="_0 blank"></span>tes de</div><div class="t m0 xa h4 y99 ff4 fs3 fc0 sc0 ls0 ws7">temp<span class="_8 blank"> </span>o<span class="_2b blank"> </span>. . . . . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . . . . .<span class="_24 blank"> </span>210</div><div class="t m0 x4 h4 y9a ff4 fs3 fc0 sc0 ls0 ws1c">10.4<span class="_1 blank"> </span>Probab<span class="_0 blank"></span>ilidades de Estados em<span class="_18 blank"> </span>R<span class="_8 blank"> </span>egime e E<span class="_0 blank"></span>quaçõ<span class="_8 blank"> </span>es de Balanço Globais<span class="_25 blank"> </span>.<span class="_11 blank"> </span>214</div><div class="t m0 x4 h4 y9b ff4 fs3 fc0 sc0 ls0 ws1a">10.5<span class="_1 blank"> </span>Classes de estados, propriedade<span class="_0 blank"></span>s de<span class="_6 blank"> </span>recorrência<span class="_6 blank"> </span>e prob<span class="_8 blank"> </span>abilidades limite<span class="_11 blank"> </span>.<span class="_24 blank"> </span>218</div><div class="t m0 x9 h4 y9c ff4 fs3 fc0 sc0 ls0 ws7">10.5.1<span class="_2b blank"> </span>Classes<span class="_6 blank"> </span>de<span class="_6 blank"> </span>estados<span class="_25 blank"> </span>. . . . . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . .<span class="_24 blank"> </span>218</div><div class="t m0 x9 h4 y9d ff4 fs3 fc0 sc0 ls0 ws7">10.5.2<span class="_2b blank"> </span>Propriedad<span class="_0 blank"></span>es<span class="_6 blank"> </span>de<span class="_3 blank"> </span>recorrência<span class="_13 blank"> </span>. . . . . . . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. .<span class="_11 blank"> </span>220</div><div class="t m0 x9 h4 y9e ff4 fs3 fc0 sc0 ls0 ws7">10.5.3<span class="_2b blank"> </span>Probabilid<span class="_0 blank"></span>ades<span class="_6 blank"> </span>limite<span class="_3 blank"> </span>. . . . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . .<span class="_11 blank"> </span>223</div><div class="t m0 x9 h4 y9f ff4 fs3 fc0 sc0 ls0 ws1d">10.5.4<span class="_2b blank"> </span>Probabilid<span class="_0 blank"></span>ades limite para as cadeias de Mark<span class="_5 blank"></span>ov de<span class="_1c blank"> </span>temp<span class="_8 blank"> </span>o contín<span class="_0 blank"></span>uo<span class="_8 blank"> </span>226</div><div class="t m0 x4 h4 ya0 ff4 fs3 fc0 sc0 ls0 ws7">10.6 Exercícios<span class="_10 blank"> </span>. . . . . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . .<span class="_24 blank"> </span>22<span class="_8 blank"> </span>8</div><div class="t m0 x8 h5 ya1 ff5 fs3 fc0 sc0 ls0 ws15">A<span class="_13 blank"> </span>T<span class="_4 blank"></span>ab elas<span class="_12 blank"> </span>Mate<span class="_0 blank"></span>máticas<span class="_2c blank"> </span>234</div><div class="t m0 x4 h4 ya2 ff4 fs3 fc0 sc0 ls0 ws7">A.1<span class="_1d blank"> </span>Iden<span class="_0 blank"></span>tidades<span class="_6 blank"> </span>trigonom<span class="_0 blank"></span>étricas<span class="_11 blank"> </span>. . . . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . .<span class="_11 blank"> </span>234</div><div class="t m0 x4 h4 ya3 ff4 fs3 fc0 sc0 ls0 ws7">A.2<span class="_1d blank"> </span>Co<span class="_8 blank"> </span>e\ufb01cien<span class="_0 blank"></span>tes<span class="_6 blank"> </span>Binomiais<span class="_10 blank"> </span>. . . . . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. .<span class="_11 blank"> </span>235</div><div class="t m0 x4 h4 ya4 ff4 fs3 fc0 sc0 ls0 ws7">A.3<span class="_1d blank"> </span>Deriv<span class="_5 blank"></span>adas<span class="_11 blank"> </span>. . . . . . . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. .<span class="_11 blank"> </span>235</div><div class="t m0 x4 h4 ya5 ff4 fs3 fc0 sc0 ls0 ws7">A.4<span class="_1d blank"> </span>In<span class="_0 blank"></span>tegrais<span class="_6 blank"> </span>inde\ufb01nidas<span class="_15 blank"> </span>. . . . . . . . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . .<span class="_11 blank"> </span>236</div><div class="t m0 x4 h4 ya6 ff4 fs3 fc0 sc0 ls0 ws7">A.5<span class="_1d blank"> </span>In<span class="_0 blank"></span>tegrais<span class="_6 blank"> </span>de\ufb01nidas<span class="_1f blank"> </span>. . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. .<span class="_11 blank"> </span>237</div><div class="t m0 x8 h5 ya7 ff5 fs3 fc0 sc0 ls0 ws15">B<span class="_10 blank"> </span>T<span class="_4 blank"></span>ab elas<span class="_12 blank"> </span>de<span class="_12 blank"> </span>transformadas<span class="_3 blank"> </span>de<span class="_12 blank"> </span>F<span class="_4 blank"></span>ourier<span class="_2d blank"> </span>238</div><div class="t m0 x4 h4 ya8 ff4 fs3 fc0 sc0 ls0 ws7">B.1<span class="_c blank"> </span>De\ufb01nição<span class="_1f blank"> </span>. . . . .<span class="_2 blank"> </span>. . . . . . .<span class="_2 blank"> </span>. . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . .<span class="_24 blank"> </span>238</div><div class="t m0 x4 h4 ya9 ff4 fs3 fc0 sc0 ls0 ws7">B.2<span class="_c blank"> </span>Propriedad<span class="_0 blank"></span>es<span class="_15 blank"> </span>. . . . . . . . . .<span class="_2 blank"> </span>. . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . . . . .<span class="_2 blank"> </span>. .<span class="_24 blank"> </span>238</div><div class="t m0 x4 h4 yaa ff4 fs3 fc0 sc0 ls0 ws7">B.3<span class="_c blank"> </span>P<span class="_0 blank"></span>ares<span class="_6 blank"> </span>de<span class="_6 blank"> </span>transformadas<span class="_1c blank"> </span>. .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. .<span class="_11 blank"> </span>239</div><div class="t m0 x8 h5 yab ff5 fs3 fc0 sc0 ls0 ws1e">C<span class="_10 blank"> </span>Séries de T<span class="_4 blank"></span>a<span class="_0 blank"></span>ylor<span class="_2e blank"> </span>240</div><div class="t m0 x4 h4 yac ff4 fs3 fc0 sc0 ls0 ws7">C.1<span class="_c blank"> </span>Série<span class="_18 blank"> </span>de<span class="_6 blank"> </span>T<span class="_4 blank"></span>a<span class="_0 blank"></span>ylor<span class="_6 blank"> </span>para<span class="_6 blank"> </span>funçõ<span class="_8 blank"> </span>es<span class="_6 blank"> </span>de<span class="_6 blank"> </span>uma<span class="_6 blank"> </span>v<span class="_0 blank"></span>ariá<span class="_5 blank"></span>v<span class="_0 blank"></span>el<span class="_b blank"> </span>. . . . . .<span class="_2 blank"> </span>. . . . . . .<span class="_2 blank"> </span>. .<span class="_11 blank"> </span>240</div><div class="t m0 x4 h4 yad ff4 fs3 fc0 sc0 ls0 ws7">C.2<span class="_c blank"> </span>Expan<span class="_0 blank"></span>sõ<span class="_8 blank"> </span>es<span class="_6 blank"> </span>mais<span class="_6 blank"> </span>utilizadas<span class="_2b blank"> </span>. . . . . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . .<span class="_11 blank"> </span>240</div></div><div class="pi" data-data='{"ctm":[1.000000,0.000000,0.000000,1.000000,0.000000,0.000000]}'></div></div> <div id="pf7" class="pf w0 h0" data-page-no="7"><div class="pc pc7 w0 h0"><img fetchpriority="low" loading="lazy" class="bi x5 y2a w1 h6" alt="" src="https://files.passeidireto.com/d8792c25-3b38-4bec-bba4-a6d2708f7d70/bg7.png"><div class="t m0 x5 h5 y2b ff5 fs3 fc0 sc0 ls0 ws1f">vi SUMÁRIO</div><div class="t m0 x5 h5 y2c ff5 fs3 fc0 sc0 ls0 ws9">D<span class="_13 blank"> </span>V<span class="_4 blank"></span>a<span class="_0 blank"></span>riá<span class="_0 blank"></span>v<span class="_5 blank"></span>eis aleatórias discretas<span class="_2f blank"> </span>242</div><div class="t m0 x6 h4 y5a ff4 fs3 fc0 sc0 ls0 ws7">D.1<span class="_11 blank"> </span>Bernoulli<span class="_18 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . .<span class="_24 blank"> </span>242</div><div class="t m0 x6 h4 y5b ff4 fs3 fc0 sc0 ls0 ws7">D.2<span class="_11 blank"> </span>Binomial<span class="_6 blank"> </span>. . . . . . . . . .<span class="_2 blank"> </span>. . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . .<span class="_24 blank"> </span>242</div><div class="t m0 x6 h4 yae ff4 fs3 fc0 sc0 ls0 ws7">D.3<span class="_11 blank"> </span>Geométrica<span class="_c blank"> </span>. . . . . . . . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . . . . .<span class="_2 blank"> </span>. . .<span class="_24 blank"> </span>242</div><div class="t m0 x6 h4 yaf ff4 fs3 fc0 sc0 ls0 ws7">D.4<span class="_11 blank"> </span>Binomial<span class="_3 blank"> </span>negativ<span class="_4 blank"></span>a<span class="_1c blank"> </span>. . . . . . . . . . . .<span class="_2 blank"> </span>. . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . . .<span class="_24 blank"> </span>24<span class="_8 blank"> </span>3</div><div class="t m0 x6 h4 yb0 ff4 fs3 fc0 sc0 ls0 ws7">D.5<span class="_11 blank"> </span>Poisson<span class="_1b blank"> </span>. . . . . . . . . .<span class="_2 blank"> </span>. . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . .<span class="_24 blank"> </span>243</div><div class="t m0 x5 h5 yb1 ff5 fs3 fc0 sc0 ls0 ws9">E<span class="_11 blank"> </span>V<span class="_4 blank"></span>ariá<span class="_5 blank"></span>v<span class="_0 blank"></span>eis aleat<span class="_0 blank"></span>órias cont<span class="_0 blank"></span>ín<span class="_0 blank"></span>uas<span class="_30 blank"> </span>244</div><div class="t m0 x6 h4 yb2 ff4 fs3 fc0 sc0 ls0 ws7">E.1<span class="_19 blank"> </span>Uniforme<span class="_1b blank"> </span>. . . . . . . . .<span class="_2 blank"> </span>. . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . .<span class="_24 blank"> </span>244</div><div class="t m0 x6 h4 yb3 ff4 fs3 fc0 sc0 ls0 ws7">E.2<span class="_19 blank"> </span>Exponencial<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . . . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . .<span class="_24 blank"> </span>244</div><div class="t m0 x6 h4 yb4 ff4 fs3 fc0 sc0 ls0 ws7">E.3<span class="_19 blank"> </span>Gaussiana<span class="_6 blank"> </span>(Normal)<span class="_25 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . . . . .<span class="_2 blank"> </span>. . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . .<span class="_24 blank"> </span>24<span class="_8 blank"> </span>4</div><div class="t m0 x6 h4 yb5 ff4 fs3 fc0 sc0 ls0 ws7">E.4<span class="_19 blank"> </span>Gama<span class="_19 blank"> </span>. . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . .<span class="_2 blank"> </span>. . . . . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . .<span class="_24 blank"> </span>245</div><div class="t m0 x6 h4 yb6 ff4 fs3 fc0 sc0 ls0 ws7">E.5<span class="_19 blank"> </span>m-E<span class="_0 blank"></span>rlang<span class="_1f blank"> </span>. . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . .<span class="_24 blank"> </span>245</div><div class="t m0 x6 h7 yb7 ff4 fs3 fc0 sc0 ls0 ws20">E.6<span class="_19 blank"> </span>Chi-Q<span class="_0 blank"></span>uadrado (<span class="ff7 ls2">\u03c7<span class="ff8 fs4 ls7 v1">2</span></span><span class="ws7">)<span class="_1 blank"> </span>. . . . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . . . . .<span class="_2 blank"> </span>. . .<span class="_24 blank"> </span>245</span></div><div class="t m0 x6 h4 yb8 ff4 fs3 fc0 sc0 ls0 ws7">E.7<span class="_19 blank"> </span>Ra<span class="_5 blank"></span>yleigh . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . . .<span class="_24 blank"> </span>245</div><div class="t m0 x6 h4 yb9 ff4 fs3 fc0 sc0 ls0 ws7">E.8<span class="_19 blank"> </span>Cauc<span class="_5 blank"></span>h<span class="_0 blank"></span>y<span class="_b blank"> </span>. . . . . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . . .<span class="_24 blank"> </span>246</div><div class="t m0 x6 h4 yba ff4 fs3 fc0 sc0 ls0 ws7">E.9<span class="_19 blank"> </span>Lap<span class="_0 blank"></span>lace<span class="_15 blank"> </span>. . . . . . .<span class="_2 blank"> </span>. . . . . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . .<span class="_24 blank"> </span>246</div><div class="t m0 x5 h5 ybb ff5 fs3 fc0 sc0 ls0 ws14">F<span class="_1d blank"> </span>V<span class="_4 blank"></span>alores da distribu<span class="_8 blank"> </span>ição normal<span class="_31 blank"> </span>247</div><div class="t m0 x5 h5 ybc ff5 fs3 fc0 sc0 ls0 ws21">Bibliogra\ufb01a 250</div></div><div class="pi" data-data='{"ctm":[1.000000,0.000000,0.000000,1.000000,0.000000,0.000000]}'></div></div> <div id="pf8" class="pf w0 h0" data-page-no="8"><div class="pc pc8 w0 h0"><div class="t m0 x8 h3 ybd ff3 fs2 fc0 sc0 ls0 ws22">Lista de Figuras</div><div class="t m0 x4 h4 ybe ff4 fs3 fc0 sc0 ls0 ws7">1.1<span class="_b blank"> </span>Espaço<span class="_6 blank"> </span>amostral<span class="_6 blank"> </span>para<span class="_6 blank"> </span>o<span class="_6 blank"> </span>arremesso<span class="_6 blank"> </span>de<span class="_6 blank"> </span>um<span class="_6 blank"> </span>dado.<span class="_11 blank"> </span>. .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . . . . .<span class="_d blank"> </span>2</div><div class="t m0 x4 h4 ybf ff4 fs3 fc0 sc0 ls0 ws23">1.2<span class="_b blank"> </span>Represen<span class="_0 blank"></span>tação do a) com<span class="_0 blank"></span>plemen<span class="_5 blank"></span>to,<span class="_12 blank"> </span>b) união, c) in<span class="_0 blank"></span>terseção de ev<span class="_0 blank"></span>en<span class="_5 blank"></span>tos,<span class="_12 blank"> </span>e</div><div class="t m0 x9 h4 yc0 ff4 fs3 fc0 sc0 ls0 ws7">d)<span class="_6 blank"> </span>ev<span class="_0 blank"></span>en<span class="_5 blank"></span>tos<span class="_3 blank"> </span>disjun<span class="_0 blank"></span>tos.<span class="_11 blank"> </span>. . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. .<span class="_d blank"> </span>4</div><div class="t m0 x4 h4 yc1 ff4 fs3 fc0 sc0 ls0 ws7">1.3<span class="_b blank"> </span>Demonstração<span class="_6 blank"> </span>da<span class="_6 blank"> </span>lei<span class="_6 blank"> </span>de<span class="_6 blank"> </span>De<span class="_6 blank"> </span>Morgan.<span class="_1b blank"> </span>. . . . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . .<span class="_d blank"> </span>4</div><div class="t m0 x4 h4 yc2 ff4 fs3 fc0 sc0 ls0 ws7">1.4<span class="_b blank"> </span>Espaço<span class="_6 blank"> </span>amostral<span class="_6 blank"> </span>para<span class="_6 blank"> </span>a<span class="_6 blank"> </span>deriv<span class="_4 blank"></span>ação<span class="_6 blank"> </span>da<span class="_6 blank"> </span>regra<span class="_6 blank"> </span>de<span class="_3 blank"> </span>Ba<span class="_0 blank"></span>y<span class="_5 blank"></span>es<span class="_8 blank"> </span>.<span class="_2b blank"> </span>. . . . . . . . . . .<span class="_16 blank"> </span>13</div><div class="t m0 x4 h4 yc3 ff4 fs3 fc0 sc0 ls0 ws24">2.1<span class="_b blank"> </span>Uma<span class="_22 blank"> </span>v.a.<span class="_24 blank"> </span>asso cia<span class="_12 blank"> </span>um<span class="_7 blank"> </span>n<span class="_5 blank"></span>úmero<span class="_7 blank"> </span><span class="ff7 ls8">x<span class="ff9 ls9">=</span><span class="lsa">X</span></span><span class="ff9 ws25">(<span class="ff7 lsb">\u03b6</span><span class="lsc">)</span></span><span class="ws26">a cada resultado <span class="ff7 lsd">\u03b6</span><span class="ws27">no espaço</span></span></div><div class="t m0 x9 h4 yc4 ff4 fs3 fc0 sc0 ls0 ws28">amostral <span class="ff7 lse">S</span><span class="ws7">de<span class="_18 blank"> </span>um<span class="_6 blank"> </span>ex<span class="_8 blank"> </span>p<span class="_8 blank"> </span>erimen<span class="_5 blank"></span>to<span class="_3 blank"> </span>aleatório.<span class="_12 blank"> </span>. . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . .<span class="_16 blank"> </span>25</span></div><div class="t m0 x4 h4 yc5 ff4 fs3 fc0 sc0 ls0 ws7">2.2<span class="_b blank"> </span>Ev<span class="_0 blank"></span>en<span class="_5 blank"></span>tos<span class="_6 blank"> </span>equiv<span class="_0 blank"></span>alen<span class="_5 blank"></span>tes.<span class="_7 blank"> </span>. . . . . .<span class="_2 blank"> </span>. . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . .<span class="_16 blank"> </span>27</div><div class="t m0 x4 h4 yc6 ff4 fs3 fc0 sc0 ls0 ws29">2.3 <span class="ff7 lsf">P</span><span class="ff9 ws25">[<span class="ff7 ws2a">a < X<span class="_3 blank"> </span><span class="ffa ls10">\u2264</span><span class="ls11">b</span></span><span class="ws2b">] = <span class="ff7 ws2c">F<span class="ffb fs4 ls12 v2">X</span></span></span>(<span class="ff7 ls11">b</span><span class="ls13">)<span class="ffa ls14">\u2212</span></span><span class="ff7 ws2c">F<span class="ffb fs4 ls15 v2">X</span></span>(<span class="ff7 ls16">a</span><span class="ls17">)</span></span><span class="ls4 wsd">....<span class="_0 blank"></span>.....<span class="_0 blank"></span>.....<span class="_0 blank"></span>.....<span class="_0 blank"></span>.... 2<span class="_1e blank"></span>8<span class="_1e blank"></span></span></div><div class="t m0 x4 h4 yc7 ff4 fs3 fc0 sc0 ls0 ws7">2.4<span class="_b blank"> </span>Exemplo<span class="_6 blank"> </span>de<span class="_6 blank"> </span>uma<span class="_6 blank"> </span>fdc<span class="_6 blank"> </span>de<span class="_6 blank"> </span>uma<span class="_6 blank"> </span>v.a.<span class="_22 blank"> </span>discreta. . . . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . . . . .<span class="_16 blank"> </span>31</div><div class="t m0 x4 h4 yc8 ff4 fs3 fc0 sc0 ls0 ws2d">2.5<span class="_b blank"> </span>Grá\ufb01co da fdc de v.a.<span class="_7 blank"> </span>con<span class="_0 blank"></span>tín<span class="_5 blank"></span>ua<span class="_3 blank"> </span><span class="ff7 lsa">X</span><span class="ws7">.<span class="_19 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. .<span class="_16 blank"> </span>31</span></div><div class="t m0 x4 h8 yc9 ff4 fs3 fc0 sc0 ls0 ws2e">2.6<span class="_b blank"> </span>Grá\ufb01co de <span class="ff7 ls18">F</span><span class="ffc fs4 v1">\u2032</span></div><div class="t m0 xb h9 yca ffb fs4 fc0 sc0 ls15">X<span class="ff9 fs3 ls0 ws25 v3">(<span class="ff7 ls19">x</span>)<span class="ff4 ws7">.<span class="_18 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. .<span class="_16 blank"> </span>32</span></span></div><div class="t m0 x4 h4 ycb ff4 fs3 fc0 sc0 ls0 ws7">2.7<span class="_b blank"> </span>Um<span class="_6 blank"> </span>exemplo<span class="_6 blank"> </span>de<span class="_6 blank"> </span>v.a.<span class="_7 blank"> </span>mista.<span class="_1b blank"> </span>. . . . . . . . .<span class="_2 blank"> </span>. . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. .<span class="_16 blank"> </span>33</div><div class="t m0 x4 h4 ycc ff4 fs3 fc0 sc0 ls0 ws2f">2.8<span class="_b blank"> </span>A função densidade de probabilidad<span class="_0 blank"></span>e<span class="_6 blank"> </span>esp<span class="_8 blank"> </span>eci\ufb01ca a probabilidade<span class="_6 blank"> </span>de in<span class="_0 blank"></span>ter-</div><div class="t m0 x9 h4 ycd ff4 fs3 fc0 sc0 ls0 ws7">v<span class="_5 blank"></span>alos<span class="_6 blank"> </span>de<span class="_6 blank"> </span>largura<span class="_6 blank"> </span>in\ufb01nitesimal.<span class="_11 blank"> </span>. . . . . . . .<span class="_2 blank"> </span>. . . .<span class="_2 blank"> </span>. . . . . . . .<span class="_2 blank"> </span>. . . .<span class="_16 blank"> </span>34</div><div class="t m0 x4 h4 yce ff4 fs3 fc0 sc0 ls0 ws30">2.9<span class="_b blank"> </span>A probabilida<span class="_0 blank"></span>de de um interv<span class="_4 blank"></span>alo<span class="_6 blank"> </span><span class="ff9 ws25">[<span class="ff7 ws31">a, b</span><span class="ls1a">]</span></span><span class="ws32">é a<span class="_6 blank"> </span>área sob a fdp<span class="_6 blank"> </span>naquele int<span class="_0 blank"></span>erv<span class="_5 blank"></span>alo.<span class="_e blank"> </span>34</span></div><div class="t m0 x4 h4 ycf ff4 fs3 fc0 sc0 ls0 ws1a">2.10<span class="_1 blank"> </span>F<span class="_4 blank"></span>dc\u2019s condic<span class="_0 blank"></span>ional<span class="_6 blank"> </span>e incondicional de<span class="_3 blank"> </span><span class="ff7 lsa">X</span><span class="ws7">.<span class="_12 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . .<span class="_16 blank"> </span>51</span></div><div class="t m0 x4 h4 yd0 ff4 fs3 fc0 sc0 ls0 ws33">2.11<span class="_1 blank"> </span>a)<span class="_18 blank"> </span>Dep endência<span class="_6 blank"> </span>entre<span class="_6 blank"> </span>X<span class="_6 blank"> </span>e<span class="_18 blank"> </span>Y ,<span class="_6 blank"> </span>b)<span class="_6 blank"> </span><span class="ff7 ls1b">f<span class="ffb fs4 ls1c v2">X</span></span><span class="ff9 ws25">(<span class="ff7 ls19">x</span>)</span><span class="ws1a">, e c) <span class="ff7 ls1b">f<span class="ffb fs4 ls1d v2">Y</span></span><span class="ff9 ws25">(<span class="ff7 ls1e">y</span>)</span><span class="ws7">.<span class="_1b blank"> </span>. . . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. .<span class="_16 blank"> </span>57</span></span></div><div class="t m0 x4 h4 yd1 ff4 fs3 fc0 sc0 ls0 ws34">2.12<span class="_1 blank"> </span>Uma transformaçã<span class="_0 blank"></span>o da v.a.<span class="_1 blank"> </span><span class="ff7 ls1f">X</span><span class="ws35">e<span class="_3 blank"> </span>um<span class="_3 blank"> </span>exemplo<span class="_12 blank"> </span>das<span class="_6 blank"> </span>fdp\u2019s<span class="_3 blank"> </span>corresp onden<span class="_0 blank"></span>tes</span></div><div class="t m0 x9 h4 yd2 ff4 fs3 fc0 sc0 ls0 ws36">de <span class="ff7 ls20">X</span><span class="ls21">e<span class="ff7 ls22">Y</span><span class="ls4 ws37">. .....<span class="_0 blank"></span>....<span class="_0 blank"></span>.......<span class="_0 blank"></span>.....<span class="_0 blank"></span>.....<span class="_0 blank"></span>.....<span class="_0 blank"></span>....<span class="_24 blank"> </span>5<span class="_1e blank"></span>9<span class="_32 blank"></span></span></span></div><div class="t m0 x4 h4 yd3 ff4 fs3 fc0 sc0 ls0 ws7">2.13 F<span class="_4 blank"></span>unção<span class="_6 blank"> </span>de<span class="_6 blank"> </span>uma<span class="_6 blank"> </span>v.a.<span class="_7 blank"> </span>com<span class="_6 blank"> </span>duas<span class="_6 blank"> </span>raízes.<span class="_1 blank"> </span>. . . . . .<span class="_2 blank"> </span>. . . . . . .<span class="_2 blank"> </span>. . . . . . .<span class="_16 blank"> </span>59</div><div class="t m0 x4 h4 yd4 ff4 fs3 fc0 sc0 ls0 ws10">2.14<span class="_1 blank"> </span>Uma tra<span class="_0 blank"></span>nsformação quadrática da v.a.<span class="_22 blank"> </span><span class="ff7 lsa">X</span><span class="ws7">.<span class="_e blank"> </span>. . . . . . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . .<span class="_16 blank"> </span>60</span></div><div class="t m0 x4 h4 yd5 ff4 fs3 fc0 sc0 ls0 ws7">2.15 F<span class="_4 blank"></span>unção<span class="_6 blank"> </span>densidade<span class="_6 blank"> </span>de<span class="_6 blank"> </span>probabilidade<span class="_6 blank"> </span>de<span class="_6 blank"> </span>Ra<span class="_0 blank"></span>yleigh.<span class="_6 blank"> </span>. . . . . . . . . . . . . .<span class="_16 blank"> </span>6<span class="_0 blank"></span>4</div><div class="t m0 x4 h8 yd6 ff4 fs3 fc0 sc0 ls0 ws1d">3.1<span class="_b blank"> </span>F<span class="_4 blank"></span>unção densidade de probabilidade gaussiana<span class="_6 blank"> </span>com média<span class="_6 blank"> </span><span class="ff7 ls23">m</span><span class="ws2f">e v<span class="_5 blank"></span>ariância <span class="ff7 ls24">\u03c3<span class="ff8 fs4 ls3 v1">2</span></span><span class="ws38">. 73</span></span></div><div class="t m0 x4 h4 yd7 ff4 fs3 fc0 sc0 ls0 ws29">3.2 <span class="ff7 ls25">Y<span class="ff9 ls10">=</span><span class="ls26">g</span></span><span class="ff9 ws25">(<span class="ff7 lsa">X</span>)</span><span class="ls4 wsd">.<span class="_4 blank"></span>..<span class="_0 blank"></span>.......<span class="_0 blank"></span>.....<span class="_0 blank"></span>.....<span class="_0 blank"></span>....<span class="_0 blank"></span>.....<span class="_0 blank"></span>.....<span class="_0 blank"></span>.. 7<span class="_1e blank"></span>4<span class="_1e blank"></span></span></div><div class="t m0 x4 h4 yd8 ff4 fs3 fc0 sc0 ls0 ws39">4.1<span class="_b blank"> </span>Méto<span class="_8 blank"> </span>do da transformada para gerar uma v<span class="_4 blank"></span>ariáv<span class="_5 blank"></span>el aleatória<span class="_6 blank"> </span>com fdc <span class="ff7 ws2c">F<span class="ffb fs4 ls1c v2">X</span><span class="ff9 ws25">(</span><span class="ls19">x</span><span class="ff9 ws25">)</span></span><span class="ws3a">. 92</span></div><div class="t m0 x4 h4 yd9 ff4 fs3 fc0 sc0 ls0 ws7">4.2<span class="_b blank"> </span>Gerando<span class="_6 blank"> </span>uma<span class="_6 blank"> </span>v<span class="_5 blank"></span>ariá<span class="_0 blank"></span>v<span class="_0 blank"></span>el<span class="_6 blank"> </span>aleatór<span class="_0 blank"></span>ia<span class="_6 blank"> </span>com<span class="_6 blank"> </span>distribuição<span class="_6 blank"> </span>de<span class="_6 blank"> </span>Bernoulli.<span class="_2 blank"> </span>. . . . . .<span class="_16 blank"> </span>9<span class="_0 blank"></span>3</div><div class="t m0 x4 h4 yda ff4 fs3 fc0 sc0 ls0 ws7">4.3<span class="_b blank"> </span>Gerando<span class="_6 blank"> </span>uma<span class="_6 blank"> </span>v<span class="_5 blank"></span>ariá<span class="_0 blank"></span>v<span class="_0 blank"></span>el<span class="_6 blank"> </span>aleatór<span class="_0 blank"></span>ia<span class="_6 blank"> </span>com<span class="_6 blank"> </span>distribuição<span class="_6 blank"> </span>Binomial.<span class="_18 blank"> </span>. . . . . . . .<span class="_16 blank"> </span>94</div><div class="t m0 x4 h4 ydb ff4 fs3 fc0 sc0 ls0 ws10">4.4<span class="_b blank"> </span>Méto<span class="_8 blank"> </span>do da rejeição pa<span class="_0 blank"></span>ra gerar uma<span class="_18 blank"> </span>v<span class="_0 blank"></span>ariá<span class="_5 blank"></span>ve<span class="_0 blank"></span>l aleatória com fdp <span class="ff7 ls1b">f<span class="ffb fs4 ls27 v2">X</span></span><span class="ff9 ws25">(<span class="ff7 ls19">x</span>)</span><span class="ws7">.<span class="_1 blank"> </span>. .<span class="_16 blank"> </span>95</span></div><div class="t m0 x4 h4 ydc ff4 fs3 fc0 sc0 ls0 ws3b">4.5<span class="_b blank"> </span>Méto<span class="_8 blank"> </span>do da<span class="_12 blank"> </span>rejeição para gerar uma v<span class="_4 blank"></span>ariáv<span class="_5 blank"></span>el aleatória com distribuição</div><div class="t m0 x9 h4 ydd ff4 fs3 fc0 sc0 ls0 ws3c">gama (<span class="ff9 ls28">0</span><span class="ff7 ws3d">< \u03b1 < <span class="ff9 ws25">1</span></span><span class="ws7">).<span class="_25 blank"> </span>. . . . . . .<span class="_2 blank"> </span>. . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . .<span class="_16 blank"> </span>96</span></div><div class="t m0 x4 h4 yde ff4 fs3 fc0 sc0 ls0 wsc">5.1<span class="_b blank"> </span>Região<span class="_6 blank"> </span>de in<span class="_5 blank"></span>tegração para<span class="_6 blank"> </span>a<span class="_6 blank"> </span>obten<span class="_0 blank"></span>ção de <span class="ff7 ws2c">F<span class="ffb fs4 ls29 v2">W</span><span class="ff9 ws25">(</span><span class="ls2a">w</span><span class="ff9 ws25">)</span></span><span class="ws7">.<span class="_1d blank"> </span>. . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . .<span class="_24 blank"> </span>103</span></div><div class="t m0 x4 h4 ydf ff4 fs3 fc0 sc0 ls0 wsc">5.2<span class="_b blank"> </span>Região<span class="_6 blank"> </span>de in<span class="_5 blank"></span>tegração para<span class="_6 blank"> </span>a<span class="_6 blank"> </span>obten<span class="_0 blank"></span>ção de <span class="ff7 ws2c">F<span class="ffb fs4 ls29 v2">W</span><span class="ff9 ws25">(</span><span class="ls2a">w</span><span class="ff9 ws25">)</span></span><span class="ws7">.<span class="_1d blank"> </span>. . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . .<span class="_24 blank"> </span>104</span></div></div><div class="pi" data-data='{"ctm":[1.000000,0.000000,0.000000,1.000000,0.000000,0.000000]}'></div></div> <div id="pf9" class="pf w0 h0" data-page-no="9"><div class="pc pc9 w0 h0"><img fetchpriority="low" loading="lazy" class="bi x5 y2a w1 h6" alt="" src="https://files.passeidireto.com/d8792c25-3b38-4bec-bba4-a6d2708f7d70/bg9.png"><div class="t m0 x5 h5 y2b ff5 fs3 fc0 sc0 ls0 ws3e">viii<span class="_33 blank"> </span>LIST<span class="_4 blank"></span>A DE FIGURAS</div><div class="t m0 x6 h4 y2c ff4 fs3 fc0 sc0 ls0 ws3f">5.3<span class="_b blank"> </span>O n<span class="_0 blank"></span>úmer<span class="_0 blank"></span>o de caras em 50 arremessos de uma mo<span class="_8 blank"> </span>eda ideal:<span class="_12 blank"> </span>400 r<span class="_8 blank"> </span>ep<span class="_8 blank"> </span>etiçõ<span class="_8 blank"> </span>es</div><div class="t m0 x7 h4 y5a ff4 fs3 fc0 sc0 ls0 ws7">exp<span class="_8 blank"> </span>erimen<span class="_5 blank"></span>tais<span class="_3 blank"> </span>versus<span class="_18 blank"> </span>a<span class="_6 blank"> </span>fmp<span class="_6 blank"> </span>binomial.<span class="_2 blank"> </span>. . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . .<span class="_11 blank"> </span>117</div><div class="t m0 x6 h4 ye0 ff4 fs3 fc0 sc0 ls0 ws40">6.1<span class="_b blank"> </span>Região <span class="ff7 ls2b">A</span><span class="ws7">(som<span class="_5 blank"></span>breada).<span class="_7 blank"> </span>. . . . . . . . .<span class="_2 blank"> </span>. . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . . .<span class="_24 blank"> </span>127</span></div><div class="t m0 x6 h4 ye1 ff4 fs3 fc0 sc0 ls0 ws41">6.2<span class="_b blank"> </span>Um<span class="_3 blank"> </span>limitan<span class="_5 blank"></span>te<span class="_12 blank"> </span>sup erior<span class="_3 blank"> </span>exp<span class="_8 blank"> </span>onencial<span class="_3 blank"> </span>usado<span class="_3 blank"> </span>para<span class="_3 blank"> </span>obter<span class="_3 blank"> </span>a<span class="_3 blank"> </span>probabilidade<span class="_3 blank"> </span>de</div><div class="t m0 x7 h4 ye2 ff4 fs3 fc0 sc0 ls0 ws7">cauda<span class="_6 blank"> </span>(limitan<span class="_5 blank"></span>te<span class="_3 blank"> </span>de<span class="_6 blank"> </span>Cherno\ufb00<span class="_14 blank"> </span>).<span class="_18 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . . . . .<span class="_2 blank"> </span>. . .<span class="_24 blank"> </span>1<span class="_8 blank"> </span>28</div><div class="t m0 x6 h4 ye3 ff4 fs3 fc0 sc0 ls0 ws42">7.1<span class="_b blank"> </span>Con<span class="_5 blank"></span>vergência de uma sequência de médias amostrais obtidas a partir</div><div class="t m0 x7 h4 ye4 ff4 fs3 fc0 sc0 ls0 ws42">de uma sequência de v.a.\u2019s com distribuição Gaussiana de média 4 e</div><div class="t m0 x7 h4 ye5 ff4 fs3 fc0 sc0 ls0 ws7">v<span class="_5 blank"></span>ariância<span class="_6 blank"> </span>10.<span class="_18 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . . . . .<span class="_2 blank"> </span>. . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . .<span class="_24 blank"> </span>137</div><div class="t m0 x6 h4 ye6 ff4 fs3 fc0 sc0 ls0 ws10">8.1<span class="_b blank"> </span>Um pro<span class="_8 blank"> </span>cesso esto<span class="_8 blank"> </span>cástico que<span class="_18 blank"> </span>represen<span class="_0 blank"></span>ta a temp<span class="_8 blank"> </span>eratura de uma cidade<span class="_0 blank"></span>.<span class="_c blank"> </span>.<span class="_24 blank"> </span>141</div><div class="t m0 x6 h4 ye7 ff4 fs3 fc0 sc0 ls0 ws7">8.2<span class="_b blank"> </span>Um<span class="_6 blank"> </span>conjun<span class="_0 blank"></span>to<span class="_6 blank"> </span>com<span class="_6 blank"> </span>um<span class="_6 blank"> </span>n<span class="_0 blank"></span>úmero<span class="_6 blank"> </span>\ufb01nito<span class="_6 blank"> </span>de<span class="_6 blank"> </span>funções<span class="_6 blank"> </span>amostra.<span class="_13 blank"> </span>. . . . . . . . .<span class="_24 blank"> </span>141</div><div class="t m0 x6 h4 ye8 ff4 fs3 fc0 sc0 ls0 ws43">8.3<span class="_b blank"> </span>F<span class="_4 blank"></span>unções<span class="_22 blank"> </span>amostra de quatro tip<span class="_8 blank"> </span>os de pro<span class="_8 blank"> </span>cessos esto<span class="_8 blank"> </span>cásticos:<span class="_13 blank"> </span><span class="ff7 lsa">X</span><span class="ff9 ws25">(<span class="ff7 ls2c">t</span><span class="ls2d">)</span></span>é um</div><div class="t m0 x7 h4 ye9 ff4 fs3 fc0 sc0 ls0 ws3b">pro<span class="_8 blank"> </span>cesso con<span class="_0 blank"></span>tín<span class="_5 blank"></span>uo<span class="_7 blank"> </span>no temp<span class="_8 blank"> </span>o e na amplitude;<span class="_2 blank"> </span><span class="ff7 lsa">X</span><span class="ff9 ws25">(<span class="ff7 ls2e">n</span>)</span>,<span class="_2 blank"> </span>obtido a pa<span class="_0 blank"></span>rtir da</div><div class="t m0 x7 h4 yea ff4 fs3 fc0 sc0 ls0 ws44">amostragem de <span class="ff7 lsa">X</span><span class="ff9 ws25">(<span class="ff7 ls2c">t</span><span class="ls2f">)</span></span><span class="ws35">em<span class="_34 blank"> </span>instan<span class="_5 blank"></span>tes<span class="_1c blank"> </span>de<span class="_1c blank"> </span>te<span class="_0 blank"></span>mp o<span class="_35 blank"> </span>in<span class="_0 blank"></span>teiro<span class="_0 blank"></span>s<span class="_35 blank"> </span><span class="ff7 ls2e">n</span>,é<span class="_35 blank"> </span>discreto<span class="_35 blank"> </span>no<span class="_35 blank"> </span>temp o</span></div><div class="t m0 x7 h4 yeb ff4 fs3 fc0 sc0 ls0 ws45">e con<span class="_5 blank"></span>tínuo na ampli<span class="_0 blank"></span>tude; <span class="ff7 ls22">Y</span><span class="ff9 ws25">(<span class="ff7 ls2c">t</span><span class="ls30">)</span></span><span class="ws32">é obtida a partir da quan<span class="_5 blank"></span>tizaçcão de<span class="_6 blank"> </span><span class="ff7 lsa">X</span><span class="ff9 ws25">(<span class="ff7 ls2c">t</span>)</span></span></div><div class="t m0 x7 h4 yec ff4 fs3 fc0 sc0 ls0 ws46">nos instan<span class="_5 blank"></span>tes<span class="_22 blank"> </span>de amostragem,<span class="_22 blank"> </span>e é um pro<span class="_8 blank"> </span>cesso discreto na amp<span class="_0 blank"></span>litude e</div><div class="t m0 x7 h4 yed ff4 fs3 fc0 sc0 ls0 ws35">con<span class="_5 blank"></span>tínuo<span class="_12 blank"> </span>no<span class="_3 blank"> </span>temp o;<span class="_12 blank"> </span>\ufb01nalmen<span class="_5 blank"></span>te,<span class="_22 blank"> </span><span class="ff7 ls22">Y</span><span class="ff9 ws25">(<span class="ff7 ls2e">n</span>)</span><span class="ws47">, um pro<span class="_8 blank"> </span>cesso discreto no temp<span class="_8 blank"> </span>o e</span></div><div class="t m0 x7 h4 yee ff4 fs3 fc0 sc0 ls0 ws10">na amplitude<span class="_0 blank"></span>, é obtido a partir da<span class="_18 blank"> </span>amostragem de <span class="ff7 ls22">Y</span><span class="ff9 ws25">(<span class="ff7 ls31">t</span>)</span><span class="ws7">.<span class="_19 blank"> </span>.<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . .<span class="_24 blank"> </span>143</span></div><div class="t m0 x6 h4 yef ff4 fs3 fc0 sc0 ls0 ws7">8.4<span class="_b blank"> </span>F<span class="_4 blank"></span>unção<span class="_6 blank"> </span>amostra<span class="_6 blank"> </span>de<span class="_6 blank"> </span>um<span class="_6 blank"> </span>pro<span class="_8 blank"> </span>cesso<span class="_6 blank"> </span>de<span class="_6 blank"> </span>con<span class="_0 blank"></span>tagem<span class="_19 blank"> </span>. . .<span class="_2 blank"> </span>. . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . .<span class="_11 blank"> </span>148</div><div class="t m0 x6 h4 yf0 ff4 fs3 fc0 sc0 ls0 ws7">8.5<span class="_b blank"> </span>F<span class="_4 blank"></span>unção<span class="_6 blank"> </span>amostra<span class="_6 blank"> </span>de<span class="_6 blank"> </span>um<span class="_6 blank"> </span>pro<span class="_8 blank"> </span>cesso<span class="_6 blank"> </span>telegrá\ufb01co<span class="_6 blank"> </span>aleatório<span class="_25 blank"> </span>. . . . . . . .<span class="_2 blank"> </span>. . .<span class="_24 blank"> </span>152</div><div class="t m0 x6 h4 yf1 ff4 fs3 fc0 sc0 ls0 ws3c">8.6<span class="_b blank"> </span>F<span class="_4 blank"></span>orma de onda d<span class="_0 blank"></span>o pulso <span class="ff7 ls32">p</span><span class="ff9 ws25">(<span class="ff7 ls2c">t</span>)</span><span class="ws7">.<span class="_1d blank"> </span>. . . . . . . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . . .<span class="_24 blank"> </span>155</span></div><div class="t m0 x6 h4 yf2 ff4 fs3 fc0 sc0 ls0 ws7">8.7<span class="_b blank"> </span>Erro<span class="_6 blank"> </span>de<span class="_6 blank"> </span>deteção<span class="_6 blank"> </span>devido<span class="_6 blank"> </span>ao<span class="_6 blank"> </span>ruído.<span class="_19 blank"> </span>. . . . . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . . . . .<span class="_2 blank"> </span>. . .<span class="_11 blank"> </span>156</div><div class="t m0 x6 h4 yf3 ff4 fs3 fc0 sc0 ls0 ws7">8.8<span class="_b blank"> </span>Pro<span class="_8 blank"> </span>cesso<span class="_6 blank"> </span>esto<span class="_8 blank"> </span>cástico<span class="_6 blank"> </span>comprimido<span class="_6 blank"> </span>no<span class="_6 blank"> </span>temp<span class="_8 blank"> </span>o.<span class="_c blank"> </span>. . . . . .<span class="_2 blank"> </span>. . . . . . . . . .<span class="_24 blank"> </span>157</div><div class="t m0 x6 h4 yf4 ff4 fs3 fc0 sc0 ls0 ws48">8.9<span class="_b blank"> </span>F<span class="_4 blank"></span>dp<span class="_6 blank"> </span>dos<span class="_6 blank"> </span>pro cessos<span class="_6 blank"> </span><span class="ff7 ls33">x</span><span class="ls34">e<span class="ff7 ls1e">y</span></span><span class="ws7">.<span class="_13 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . .<span class="_24 blank"> </span>157</span></div><div class="t m0 x6 h4 yf5 ff4 fs3 fc0 sc0 ls0 ws48">8.10<span class="_1 blank"> </span>F<span class="_4 blank"></span>unções<span class="_3 blank"> </span>de<span class="_6 blank"> </span>auto correlação<span class="_6 blank"> </span>para<span class="_6 blank"> </span>os<span class="_6 blank"> </span>pro cessos<span class="_6 blank"> </span><span class="ff7 lsa">X</span><span class="ff9 ws25">(<span class="ff7 ls2c">t</span><span class="ls35">)</span></span><span class="ls21">e<span class="ff7 ls22">Y</span></span><span class="ff9 ws25">(<span class="ff7 ls2c">t</span>)</span><span class="ws7">.<span class="_1b blank"> </span>. . . . . . . .<span class="_24 blank"> </span>158</span></div><div class="t m0 x6 h4 yf6 ff4 fs3 fc0 sc0 ls0 ws49">8.11<span class="_1 blank"> </span>Processo<span class="_3 blank"> </span>aleatório<span class="_6 blank"> </span><span class="ff7 lsa">X</span><span class="ff9 ws25">(<span class="ff7 ls2c">t</span><span class="ws4a">) = <span class="ff7 ls36">A</span><span class="ws4b">cos(<span class="ff7 ls37">\u03c9<span class="ffb fs4 ls38 v2">c</span><span class="ls39">t</span></span><span class="ls14">+<span class="ff7 ls3a">\u03b8</span></span></span></span>)</span><span class="ws7">.<span class="_1c blank"> </span>. . . . . .<span class="_2 blank"> </span>. . . .<span class="_2 blank"> </span>. . . . . . . .<span class="_24 blank"> </span>162</span></div><div class="t m0 x6 h4 yf7 ff4 fs3 fc0 sc0 ls0 ws7">8.12 Classi\ufb01cação<span class="_6 blank"> </span>dos<span class="_6 blank"> </span>pro<span class="_8 blank"> </span>cessos<span class="_6 blank"> </span>esto<span class="_14 blank"> </span>cásticos.<span class="_15 blank"> </span>. . . . . .<span class="_2 blank"> </span>. . . . . . . . .<span class="_2 blank"> </span>. . .<span class="_24 blank"> </span>165</div><div class="t m0 x6 h4 yf8 ff4 fs3 fc0 sc0 ls0 ws4c">9.1<span class="_b blank"> </span>Filtro passa<span class="_35 blank"> </span>f<span class="_8 blank"> </span>aixa ideal <span class="ff7 ls3b">H</span><span class="ff9 ws25">(<span class="ff7 ls3c">f</span><span class="ls2f">)</span></span><span class="ws4d">com frequência centr<span class="_0 blank"></span>al <span class="ff7 ls3d">f<span class="ff8 fs4 ls3e v2">0</span></span><span class="ws4e">e largura de banda</span></span></div><div class="t m0 x7 h4 yf9 ff7 fs3 fc0 sc0 ls3f">B<span class="ff4 ls0 ws7">Hz.<span class="_19 blank"> </span>. . . . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . .<span class="_24 blank"> </span>179</span></div><div class="t m0 x6 h4 yfa ff4 fs3 fc0 sc0 ls0 ws4f">9.2<span class="_b blank"> </span>A correlação cruzada entre a en<span class="_0 blank"></span>trada e a saída de um \ufb01ltro<span class="_12 blank"> </span>linear inv<span class="_4 blank"></span>a-</div><div class="t m0 x7 h4 yfb ff4 fs3 fc0 sc0 ls0 ws3b">rian<span class="_5 blank"></span>te<span class="_7 blank"> </span>no temp<span class="_8 blank"> </span>o é a con<span class="_5 blank"></span>volução da resp<span class="_8 blank"> </span>osta a impulso do \ufb01<span class="_0 blank"></span>ltro com a</div><div class="t m0 x7 h4 yfc ff4 fs3 fc0 sc0 ls0 ws35">função<span class="_6 blank"> </span>de<span class="_18 blank"> </span>auto correlação<span class="_6 blank"> </span>da<span class="_6 blank"> </span>en<span class="_0 blank"></span>trada.<span class="_7 blank"> </span>A<span class="_6 blank"> </span>densidad<span class="_0 blank"></span>e<span class="_6 blank"> </span>esp ectral<span class="_6 blank"> </span>cruzada<span class="_6 blank"> </span>en-</div><div class="t m0 x7 h4 yfd ff4 fs3 fc0 sc0 ls0 ws2f">tre a en<span class="_5 blank"></span>trada<span class="_6 blank"> </span>e a saída é o<span class="_1c blank"> </span>pro<span class="_8 blank"> </span>duto do esp<span class="_8 blank"> </span>ectro densidade de p<span class="_8 blank"> </span>otência da</div><div class="t m0 x7 h4 yfe ff4 fs3 fc0 sc0 ls0 ws50">en<span class="_0 blank"></span>trada com<span class="_35 blank"> </span>a função de transferência d<span class="_0 blank"></span>o \ufb01ltro.<span class="_12 blank"> </span>A densidade esp<span class="_8 blank"> </span>ectral de</div><div class="t m0 x7 h4 yff ff4 fs3 fc0 sc0 ls0 ws35">p otência<span class="_18 blank"> </span>da<span class="_1c blank"> </span>saída<span class="_18 blank"> </span>é<span class="_18 blank"> </span>o<span class="_18 blank"> </span>pro duto<span class="_18 blank"> </span>da<span class="_1c blank"> </span>densidade<span class="_18 blank"> </span>esp ectral<span class="_18 blank"> </span>cruzada<span class="_18 blank"> </span>da<span class="_18 blank"> </span>en<span class="_5 blank"></span>trada</div><div class="t m0 x7 h4 y100 ff4 fs3 fc0 sc0 ls0 ws10">e da saída e<span class="_18 blank"> </span>o complexo conjugado da função<span class="_18 blank"> </span>de transferência do \ufb01ltro.<span class="_2 blank"> </span>.<span class="_24 blank"> </span>188</div><div class="t m0 x6 h4 y101 ff4 fs3 fc0 sc0 ls0 ws3c">10.1<span class="_1 blank"> </span>T<span class="_4 blank"></span>ransições para o estado <span class="ff7 ls40">j</span><span class="ws7">.<span class="_1f blank"> </span>. . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . .<span class="_24 blank"> </span>211</span></div><div class="t m0 x6 h4 y102 ff4 fs3 fc0 sc0 ls0 ws7">10.2 Balanço<span class="_6 blank"> </span>global<span class="_6 blank"> </span>de<span class="_6 blank"> </span>\ufb02uxo<span class="_6 blank"> </span>de<span class="_6 blank"> </span>probabilidade.<span class="_1b blank"> </span>. . . . . . . . .<span class="_2 blank"> </span>. . . . . . . .<span class="_24 blank"> </span>215</div><div class="t m0 x6 h4 y103 ff4 fs3 fc0 sc0 ls0 ws7">10.3 Diagrama<span class="_6 blank"> </span>de<span class="_6 blank"> </span>transição<span class="_6 blank"> </span>de<span class="_6 blank"> </span>estados<span class="_6 blank"> </span>para<span class="_6 blank"> </span>o<span class="_6 blank"> </span>sistema<span class="_6 blank"> </span>M/M/1.<span class="_1d blank"> </span>.<span class="_1 blank"> </span>. . . . . . .<span class="_24 blank"> </span>216</div><div class="t m0 x6 h4 y104 ff4 fs3 fc0 sc0 ls0 ws1a">10.4<span class="_1 blank"> </span>Diagrama de taxa<span class="_18 blank"> </span>de transição para um pr<span class="_0 blank"></span>o<span class="_8 blank"> </span>cesso de nascimen<span class="_0 blank"></span>to e morte</div><div class="t m0 x7 h4 y105 ff4 fs3 fc0 sc0 ls0 ws7">geral.<span class="_18 blank"> </span>. . . . . . . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . . .<span class="_24 blank"> </span>217</div><div class="t m0 x6 h4 y106 ff4 fs3 fc0 sc0 ls0 ws51">10.5<span class="_1 blank"> </span>Instan<span class="_5 blank"></span>tes<span class="_3 blank"> </span>de recorrência para o estado<span class="_3 blank"> </span><span class="ff7 ws2c">i</span><span class="ws7">.<span class="_11 blank"> </span>. . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . . .<span class="_2 blank"> </span>. . . . .<span class="_24 blank"> </span>224</span></div></div><div class="pi" data-data='{"ctm":[1.000000,0.000000,0.000000,1.000000,0.000000,0.000000]}'></div></div> <div id="pfa" class="pf w0 h0" data-page-no="a"><div class="pc pca w0 h0"><img fetchpriority="low" loading="lazy" class="bi x7 y107 w1 ha" alt="" src="https://files.passeidireto.com/d8792c25-3b38-4bec-bba4-a6d2708f7d70/bga.png"><div class="t m0 x8 hb y108 ffd fs5 fc0 sc0 ls0 ws52">Capítulo 1</div><div class="t m0 x8 h3 y109 ff3 fs2 fc0 sc0 ls0 ws3">Probabilidade</div><div class="t m0 x8 hc y10a ffe fs6 fc0 sc0 ls0 ws53">1.1<span class="_36 blank"> </span>In<span class="_5 blank"></span>tro dução.</div><div class="t m0 x8 h4 y10b ff4 fs3 fc0 sc0 ls0 ws54">Em m<span class="_0 blank"></span>uitos problemas físicos de in<span class="_5 blank"></span>teresse,<span class="_22 blank"> </span>existe um elemen<span class="_5 blank"></span>t<span class="_8 blank"> </span>o<span class="_12 blank"> </span>de incerteza,<span class="_12 blank"> </span>ou aleato-</div><div class="t m0 x8 h4 y10c ff4 fs3 fc0 sc0 ls0 ws55">riedade.<span class="_13 blank"> </span>Independen<span class="_0 blank"></span>te de quan<span class="_0 blank"></span>to p<span class="_8 blank"> </span>ossamos conhecer da histó<span class="_8 blank"> </span>ria passada de um dado</div><div class="t m0 x8 h4 y10d ff4 fs3 fc0 sc0 ls0 ws35">fenômeno,<span class="_12 blank"> </span>somos<span class="_12 blank"> </span>ess encialmen<span class="_5 blank"></span>te<span class="_22 blank"> </span>incapacitado<span class="_0 blank"></span>s<span class="_12 blank"> </span>de<span class="_22 blank"> </span>predizer<span class="_12 blank"> </span>seu<span class="_22 blank"> </span>comportamen<span class="_0 blank"></span>to<span class="_12 blank"> </span>f uturo</div><div class="t m0 x8 h4 y10e ff4 fs3 fc0 sc0 ls0 ws56">de<span class="_6 blank"> </span>forma<span class="_6 blank"> </span>precisa. Ex. cara<span class="_6 blank"> </span>ou<span class="_18 blank"> </span>coroa.</div><div class="t m0 x4 h4 y10f ff4 fs3 fc0 sc0 ls0 ws57">F<span class="_4 blank"></span>oi observ<span class="_5 blank"></span>ado que n<span class="_0 blank"></span>estes casos certa<span class="_0 blank"></span>s médias tende<span class="_0 blank"></span>m a um v<span class="_4 blank"></span>alo<span class="_8 blank"> </span>r constan<span class="_5 blank"></span>te à medida</div><div class="t m0 x8 h4 y110 ff4 fs3 fc0 sc0 ls0 ws58">em que o n<span class="_0 blank"></span>úmero de observ<span class="_4 blank"></span>açõ<span class="_8 blank"> </span>es<span class="_7 blank"> </span>cresce.<span class="_24 blank"> </span>(No exemplo da cara e coroa,<span class="_7 blank"> </span>quais seriam</div><div class="t m0 x8 h4 y111 ff4 fs3 fc0 sc0 ls0 ws59">estas médias?)<span class="_22 blank"> </span>Desde que as médias geralmen<span class="_5 blank"></span>te<span class="_18 blank"> </span>exib<span class="_8 blank"> </span>em tal regularidade,<span class="_18 blank"> </span>e são p<span class="_14 blank"> </span>ortan<span class="_5 blank"></span>to</div><div class="t m0 x8 h4 y112 ff4 fs3 fc0 sc0 ls0 ws58">razoa<span class="_5 blank"></span>velmen<span class="_5 blank"></span>te<span class="_7 blank"> </span>previsíve<span class="_0 blank"></span>is, parece ser desejá<span class="_5 blank"></span>vel desen<span class="_5 blank"></span>volv<span class="_0 blank"></span>er um estudo sobre o<span class="_12 blank"> </span>cálculo</div><div class="t m0 x8 h4 y113 ff4 fs3 fc0 sc0 ls0 ws5a">destas médias.<span class="_e blank"> </span>Este é o domínio da teoria ma<span class="_0 blank"></span>temática da probabilidade e estatística.</div><div class="t m0 x8 h4 y114 ff4 fs3 fc0 sc0 ls0 ws43">O propós<span class="_8 blank"> </span>ito desta é de<span class="_0 blank"></span>screv<span class="_0 blank"></span>er e p<span class="_0 blank"></span>redizer tais média<span class="_0 blank"></span>s em termos de probabilida<span class="_0 blank"></span>des de</div><div class="t m0 x8 h4 y115 ff4 fs3 fc0 sc0 ls0 ws25">ev<span class="_0 blank"></span>en<span class="_5 blank"></span>tos.</div><div class="t m0 x8 h5 y116 ff5 fs3 fc0 sc0 ls0 ws5b">Algumas<span class="_12 blank"> </span>de\ufb01niçõ es<span class="_3 blank"> </span>imp<span class="_14 blank"> </span>ortan<span class="_0 blank"></span>tes:</div><div class="t m0 xc hd y117 ff5 fs3 fc0 sc0 ls0 ws5c">De\ufb01nição 1.1.<span class="_2 blank"> </span><span class="fff ws5d">Exp<span class="_5 blank"></span>erimento ale<span class="_5 blank"></span>atório<span class="ff6 ws5e">:<span class="_1 blank"> </span>um exp<span class="_5 blank"></span>erimento<span class="_22 blank"> </span>é chamado<span class="_12 blank"> </span>ale<span class="_5 blank"></span>atório<span class="_22 blank"> </span>se</span></span></div><div class="t m0 xc hd y118 ff6 fs3 fc0 sc0 ls0 ws5f">seu r<span class="_4 blank"></span>esultado n<span class="_8 blank"> </span>ão p<span class="_4 blank"></span>o<span class="_5 blank"></span>de ser pr<span class="_5 blank"></span>e<span class="_5 blank"></span>dito pr<span class="_5 blank"></span>e<span class="_5 blank"></span>cisamente<span class="_18 blank"> </span>p<span class="_5 blank"></span>or<span class="_5 blank"></span>que as c<span class="_5 blank"></span>o<span class="_8 blank"> </span>ndiçõ<span class="_5 blank"></span>es em que é<span class="_35 blank"> </span>r<span class="_5 blank"></span>e<span class="_5 blank"></span>alizado</div><div class="t m0 xc hd y119 ff6 fs3 fc0 sc0 ls0 ws60">não p<span class="_5 blank"></span>o<span class="_5 blank"></span>dem<span class="_12 blank"> </span>ser pr<span class="_4 blank"></span>e<span class="_5 blank"></span>determinadas<span class="_12 blank"> </span>c<span class="_5 blank"></span>om pr<span class="_5 blank"></span>e<span class="_5 blank"></span>cisão<span class="_12 blank"> </span>su\ufb01ciente.</div><div class="t m0 xc hd y11a fff fs3 fc0 sc0 ls0 ws61">Exemplo: <span class="ff6 ws62">arr<span class="_5 blank"></span>emesso de dados<span class="_3 blank"> </span>ou mo<span class="_0 blank"></span>e<span class="_4 blank"></span>das.</span></div><div class="t m0 xc hd y11b ff5 fs3 fc0 sc0 ls0 ws63">De\ufb01nição 1.2.<span class="_2 blank"> </span><span class="fff ws25">R<span class="_5 blank"></span>esultados<span class="ff6 ws64">:<span class="_1 blank"> </span>são os r<span class="_5 blank"></span>esultados<span class="_22 blank"> </span>p<span class="_5 blank"></span>articular<span class="_5 blank"></span>es<span class="_22 blank"> </span>da exe<span class="_4 blank"></span>cução<span class="_22 blank"> </span>de um ex-</span></span></div><div class="t m0 xc hd y11c ff6 fs3 fc0 sc0 ls0 ws25">p<span class="_5 blank"></span>erimento.</div><div class="t m0 xc hd y11d fff fs3 fc0 sc0 ls0 ws61">Exemplo: <span class="ff6 ws65">c<span class="_4 blank"></span>ar<span class="_0 blank"></span>a, c<span class="_4 blank"></span>or<span class="_5 blank"></span>o<span class="_5 blank"></span>a.</span></div></div><div class="pi" data-data='{"ctm":[1.000000,0.000000,0.000000,1.000000,0.000000,0.000000]}'></div></div>
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