<div id="pf1" class="pf w0 h0" data-page-no="1"><div class="pc pc1 w0 h0"><img class="bi x0 y0 w1 h1" alt="" src="https://files.passeidireto.com/fda66e06-d91c-4952-bdf5-cfd0b78e02d2/bg1.png"><div class="t m0 x1 h2 y1 ff1 fs0 fc0 sc0 ls7 wsb"> </div><div class="t m0 x2 h2 y2 ff1 fs0 fc0 sc0 ls7 wsb">1 </div><div class="c x1 y3 w2 h3"><div class="t m0 x0 h2 y4 ff1 fs0 fc0 sc0 ls7 wsb"> </div></div><div class="t m0 x1 h4 y5 ff2 fs1 fc1 sc0 ls7 wsb">Estatística Aplicada - Resumo </div><div class="t m0 x1 h4 y6 ff2 fs1 fc1 sc0 ls7 wsb"> </div><div class="t m0 x1 h5 y7 ff3 fs2 fc0 sc0 ls7 wsb">PROPRIEDADES DOS ESTIMADORES </div><div class="t m0 x1 h6 y8 ff3 fs3 fc1 sc0 ls7 wsb">Vício, viés ou tendência </div><div class="t m0 x1 h7 y9 ff2 fs4 fc0 sc0 ls7 wsb">Seja <span class="ff4">\ue7e0</span></div><div class="t m0 x3 h7 ya ff4 fs4 fc0 sc0 ls0">\uede0<span class="ff2 ls7 wsb v1"> estimador para </span><span class="ls1 v1">\ue7e0<span class="ff2 ls7 wsb">. O vício de <span class="ff4">\ue7e0</span></span></span></div><div class="t m0 x4 h7 ya ff4 fs4 fc0 sc0 ls0">\uede0<span class="ff2 ls7 wsb v1"> é definido como sendo: </span></div><div class="t m0 x5 h7 yb ff4 fs4 fc0 sc0 ls7 ws0">\ue724 \ued6b\ue7e0</div><div class="t m0 x6 h7 yc ff4 fs4 fc0 sc0 ls2">\uede0<span class="ls7 ws1 v1">\ued6f<span class="_0 blank"> </span>=<span class="_0 blank"> </span>\ue727 \ued63\ue7e0</span></div><div class="t m0 x7 h7 yc ff4 fs4 fc0 sc0 ls2">\uede0<span class="ls7 ws2 v1">\ued67<span class="_1 blank"> </span>\u2212<span class="_1 blank"> </span>\ue7e0 <span class="ff2 wsb"> </span></span></div><div class="t m0 x1 h7 yd ff2 fs4 fc0 sc0 ls7 wsb">Um estimador é dito não tendencioso (não viciado, não viesado) se <span class="ff4 ws3">\ue724 \ued6b\ue7e0</span></div><div class="t m0 x8 h7 ye ff4 fs4 fc0 sc0 ls2">\uede0<span class="ls7 ws4 v1">\ued6f = 0<span class="ff2 wsb">. </span></span></div><div class="t m0 x1 h8 yf ff2 fs4 fc1 sc0 ls7 wsb"> </div><div class="t m0 x1 h6 y10 ff3 fs3 fc1 sc0 ls7 wsb">Estimador assintoticamente não viciado </div><div class="t m0 x1 h7 y11 ff2 fs4 fc0 sc0 ls7 wsb">Seja <span class="ff4">\ue7e0</span></div><div class="t m0 x9 h7 y12 ff4 fs4 fc0 sc0 ls0">\uede0<span class="ff2 ls7 wsb v1"> estimador para </span><span class="ls1 v1">\ue7e0<span class="ff2 ls7 wsb">. <span class="ff4">\ue7e0</span></span></span></div><div class="t m0 xa h7 y12 ff4 fs4 fc0 sc0 ls0">\uede0<span class="ff2 ls7 wsb v1"> é assintoticamente não tendencioso para </span><span class="ls1 v1">\ue7e0<span class="ff2 ls7 wsb"> se: </span></span></div><div class="t m0 x4 h7 y13 ff4 fs4 fc0 sc0 ls7 ws5">lim</div><div class="t m0 xb h9 y14 ff4 fs5 fc0 sc0 ls7 ws6">\uebe1\u2192\uebb6 <span class="fs4 ws0 v2">\ue724 (\ue7e0</span></div><div class="t m0 xc h7 y15 ff4 fs4 fc0 sc0 ls2">\uede0<span class="ls7 ws7 v1">) = 0<span class="ff2 wsb"> </span></span></div><div class="t m0 x1 h8 y16 ff2 fs4 fc0 sc0 ls7 wsb">Erro quadrático médio (ou erro médio quadrático)<span class="ff3"> </span></div><div class="t m0 x1 h7 y17 ff2 fs4 fc0 sc0 ls7 wsb">O EQM do estimador <span class="ff4">\ue7e0</span></div><div class="t m0 xd h7 y18 ff4 fs4 fc0 sc0 ls0">\uede0<span class="ff2 ls7 wsb v1"> para o parâmetro </span><span class="ls1 v1">\ue7e0<span class="ff2 ls7 wsb"> é dado por: </span></span></div><div class="t m0 xe h7 y19 ff4 fs4 fc0 sc0 ls7 ws0">\ue727\ue733\ue72f \ued6b\ue7e0</div><div class="t m0 x6 h7 y1a ff4 fs4 fc0 sc0 ls2">\uede0<span class="ls7 ws8 v1">\ued6f<span class="_0 blank"> </span>=<span class="_0 blank"> </span>\ue727 \uf242\ued6b\ue7e0</span></div><div class="t m0 xf ha y1a ff4 fs4 fc0 sc0 ls3">\uede0<span class="ls7 ws9 v1">\u2212<span class="_1 blank"> </span>\ue7e0 \ued6f</span><span class="fs5 ls4 v3">\ueb36</span><span class="ls7 ws5 v1">\uf243<span class="ff2 wsb"> </span></span></div><div class="t m0 x1 h8 y1b ff2 fs4 fc1 sc0 ls7 wsb">Maneira alternativa: </div><div class="t m0 x10 h7 y1c ff4 fs4 fc0 sc0 ls7 ws0">\ue727\ue733\ue72f \ued6b\ue7e0</div><div class="t m0 x11 h7 y1d ff4 fs4 fc0 sc0 ls2">\uede0<span class="ls7 ws0 v1">\ued6f<span class="_0 blank"> </span>=<span class="_0 blank"> </span>\ue738\ue73d\ue74e\ued6b\ue7e0</span></div><div class="t m0 x12 h7 y1d ff4 fs4 fc0 sc0 ls2">\uede0<span class="ls7 ws0 v1">\ued6f<span class="_1 blank"> </span>+<span class="_1 blank"> </span>\ue724 </span><span class="fs5 ls5 v4">\ueb36</span><span class="ls7 ws5 v1">(\ue7e0</span></div><div class="t m0 x13 h7 y1d ff4 fs4 fc0 sc0 ls2">\uede0<span class="ls7 ws5 v1">)<span class="ff2 wsb"> </span></span></div><div class="t m0 x1 h7 y1e ff2 fs4 fc0 sc0 ls6 wsb">Se <span class="ff4 ls7">\ue7e0</span></div><div class="t m0 x14 h7 y1f ff4 fs4 fc0 sc0 ls0">\uede0<span class="ff2 ls7 wsb v1"> é não viciado, então: </span></div><div class="t m0 x15 h7 y20 ff4 fs4 fc0 sc0 ls7 ws0">\ue727\ue733\ue72f \ued6b\ue7e0</div><div class="t m0 x16 h7 y21 ff4 fs4 fc0 sc0 ls2">\uede0<span class="ls7 ws0 v1">\ued6f<span class="_0 blank"> </span>=<span class="_0 blank"> </span>\ue738\ue73d\ue74e (\ue7e0</span></div><div class="t m0 x17 h7 y21 ff4 fs4 fc0 sc0 ls2">\uede0<span class="ls7 ws5 v1">)<span class="ff2 wsb"> </span></span></div><div class="t m0 x1 h8 y22 ff2 fs4 fc0 sc0 ls7 wsb"> </div><div class="t m0 x1 h6 y23 ff3 fs3 fc1 sc0 ls7 wsb">Consistência em EQM </div><div class="t m0 x1 h7 y24 ff2 fs4 fc0 sc0 ls7 wsb">Seja <span class="_2 blank"> </span><span class="ff4">\ue7e0</span></div><div class="t m0 x9 h7 y25 ff4 fs4 fc0 sc0 ls0">\uede0<span class="ff2 ls7 wsb v1"> <span class="_2 blank"> </span>estimador <span class="_2 blank"> </span>para <span class="_2 blank"> </span></span><span class="ls1 v1">\ue7e0<span class="ff2 ls7 wsb">. <span class="_2 blank"> </span>Dizemos <span class="_2 blank"> </span>que <span class="_2 blank"> </span><span class="ff4">\ue7e0</span></span></span></div><div class="t m0 x18 h7 y25 ff4 fs4 fc0 sc0 ls0">\uede0<span class="ff2 ls7 wsb v1"> <span class="_2 blank"> </span>é <span class="_2 blank"> </span>um <span class="_2 blank"> </span>estimador <span class="_2 blank"> </span>consistente <span class="_2 blank"> </span>em <span class="_2 blank"> </span>EQM <span class="_2 blank"> </span>para <span class="_2 blank"> </span></span><span class="ls1 v1">\ue7e0<span class="ff2 ls7 wsb"> </span></span></div><div class="t m0 x1 h8 y26 ff2 fs4 fc0 sc0 ls7 wsb">se: </div><div class="t m0 x19 h7 y27 ff4 fs4 fc0 sc0 ls7 ws5">lim</div><div class="t m0 x1a h9 y28 ff4 fs5 fc0 sc0 ls7 ws6">\uebe1\u2192\uebb6 <span class="fs4 ws0 v2">\ue727\ue733\ue72f (\ue7e0</span></div><div class="t m0 x1b h7 y29 ff4 fs4 fc0 sc0 ls2">\uede0<span class="ls7 ws7 v1">) =<span class="_3 blank"> </span>lim</span></div><div class="t m0 x1c h9 y28 ff4 fs5 fc0 sc0 ls7 wsa">\uebe1\u2192\uebb6<span class="_4 blank"> </span><span class="fs4 ws8 v2">\ue727 \uf242\ued6b\ue7e0</span></div><div class="t m0 x1d ha y29 ff4 fs4 fc0 sc0 ls3">\uede0<span class="ls7 ws9 v1">\u2212<span class="_1 blank"> </span>\ue7e0 \ued6f</span><span class="fs5 ls4 v3">\ueb36</span><span class="ls7 ws7 v1">\uf243 = 0<span class="ff2 wsb"> </span></span></div><div class="t m0 x1 h7 y2a ff2 fs4 fc0 sc0 ls6 wsb">Se <span class="ff4 ls7">\ue7e0</span></div><div class="t m0 x14 h7 y2b ff4 fs4 fc0 sc0 ls0">\uede0<span class="ff2 ls7 wsb v1"> é não viesado para </span><span class="ls1 v1">\ue7e0<span class="ff2 ls7 wsb">, <span class="ff4">\ue7e0</span></span></span></div><div class="t m0 x1e h7 y2b ff4 fs4 fc0 sc0 ls0">\uede0<span class="ff2 ls7 wsb v1"> será consistente se </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="pf2" class="pf w0 h0" data-page-no="2"><div class="pc pc2 w0 h0"><img class="bi x0 y0 w1 h1" alt="" src="https://files.passeidireto.com/fda66e06-d91c-4952-bdf5-cfd0b78e02d2/bg2.png"><div class="t m0 x1 h2 y1 ff1 fs0 fc0 sc0 ls7 wsb"> </div><div class="t m0 x2 h2 y2 ff1 fs0 fc0 sc0 ls7 wsb">2 </div><div class="c x1 y3 w2 h3"><div class="t m0 x0 h2 y4 ff1 fs0 fc0 sc0 ls7 wsb"> </div></div><div class="t m0 x1b h7 y2c ff4 fs4 fc0 sc0 ls7 ws5">lim</div><div class="t m0 x1f h9 y2d ff4 fs5 fc0 sc0 ls7 ws6">\uebe1\u2192\uebb6 <span class="fs4 ws0 v2">\ue738\ue73d\ue74e (\ue7e0</span></div><div class="t m0 x20 h7 y2e ff4 fs4 fc0 sc0 ls2">\uede0<span class="ls7 ws7 v1">) = 0<span class="ff2 wsb"> </span></span></div><div class="t m0 x1 h6 y2f ff3 fs3 fc1 sc0 ls7 wsb">Eficiência </div><div class="t m0 x1 h7 y30 ff2 fs4 fc0 sc0 ls7 wsb">Sejam <span class="ff4">\ue7e0</span></div><div class="t m0 x21 h7 y31 ff4 fs4 fc0 sc0 ls7">\uede0</div><div class="t m0 x22 hb y32 ff4 fs5 fc0 sc0 ls4">\ueb35<span class="ff2 fs4 ls7 wsb v5"> e <span class="ff4">\ue7e0</span></span></div><div class="t m0 x23 h7 y31 ff4 fs4 fc0 sc0 ls7">\uede0</div><div class="t m0 x24 hb y32 ff4 fs5 fc0 sc0 ls4">\ueb36<span class="ff2 fs4 ls7 wsb v5"> estimadores para <span class="ff4 ls1">\ue7e0</span>. O estimador <span class="ff4">\ue7e0</span></span></div><div class="t m0 x25 h7 y31 ff4 fs4 fc0 sc0 ls7">\uede0</div><div class="t m0 x26 hb y32 ff4 fs5 fc0 sc0 ls4">\ueb35<span class="ff2 fs4 ls7 wsb v5"> é mais eficiente que <span class="ff4">\ue7e0</span></span></div><div class="t m0 x27 h7 y31 ff4 fs4 fc0 sc0 ls7">\uede0</div><div class="t m0 x28 hc y32 ff4 fs5 fc0 sc0 ls4">\ueb36<span class="ff2 fs4 ls7 wsb v5"> se: </span></div><div class="t m0 x29 h7 y33 ff4 fs4 fc0 sc0 ls7 ws3">\ue727\ue733\ue72f \ued6b\ue7e0</div><div class="t m0 x2a h7 y34 ff4 fs4 fc0 sc0 ls7">\uede0</div><div class="t m0 x2b hb y35 ff4 fs5 fc0 sc0 ls4">\ueb35<span class="fs4 ls7 ws0 v5">\ued6f<span class="_0 blank"> </span><<span class="_0 blank"> </span>\ue727\ue733\ue72f \ued6b\ue7e0</span></div><div class="t m0 x2c h7 y34 ff4 fs4 fc0 sc0 ls7">\uede0</div><div class="t m0 x2d hb y35 ff4 fs5 fc0 sc0 ls4">\ueb36<span class="fs4 ls7 ws5 v5">\ued6f<span class="ff2 wsb"> </span></span></div><div class="t m0 x1 h7 y36 ff2 fs4 fc0 sc0 ls6 wsb">Se <span class="ff4 ls7">\ue7e0</span></div><div class="t m0 x14 h7 y37 ff4 fs4 fc0 sc0 ls7">\uede0</div><div class="t m0 x2e hb y38 ff4 fs5 fc0 sc0 ls4">\ueb35<span class="ff2 fs4 ls7 wsb v5"> e <span class="ff4">\ue7e0</span></span></div><div class="t m0 x22 h7 y37 ff4 fs4 fc0 sc0 ls7">\uede0</div><div class="t m0 x2f hb y38 ff4 fs5 fc0 sc0 ls4">\ueb36<span class="ff2 fs4 ls7 wsb v5"> são não viciados, <span class="ff4">\ue7e0</span></span></div><div class="t m0 x30 h7 y37 ff4 fs4 fc0 sc0 ls7">\uede0</div><div class="t m0 x31 hb y38 ff4 fs5 fc0 sc0 ls4">\ueb35<span class="ff2 fs4 ls7 wsb v5"> será mais eficiente que <span class="ff4">\ue7e0</span></span></div><div class="t m0 x32 h7 y37 ff4 fs4 fc0 sc0 ls7">\uede0</div><div class="t m0 x13 hc y38 ff4 fs5 fc0 sc0 ls4">\ueb36<span class="ff2 fs4 ls7 wsb v5"> quando: </span></div><div class="t m0 x33 h7 y39 ff4 fs4 fc0 sc0 ls7 ws0">\ue738\ue73d\ue74e \ued6b\ue7e0</div><div class="t m0 x2a h7 y3a ff4 fs4 fc0 sc0 ls7">\uede0</div><div class="t m0 x2b hb y3b ff4 fs5 fc0 sc0 ls4">\ueb35<span class="fs4 ls7 ws0 v5">\ued6f<span class="_0 blank"> </span><<span class="_0 blank"> </span>\ue738\ue73d\ue74e \ued6b\ue7e0</span></div><div class="t m0 x34 h7 y3a ff4 fs4 fc0 sc0 ls7">\uede0</div><div class="t m0 x35 hb y3b ff4 fs5 fc0 sc0 ls4">\ueb36<span class="fs4 ls7 ws5 v5">\ued6f<span class="ff2 wsb"> </span></span></div><div class="t m0 x1 h8 y3c ff2 fs4 fc1 sc0 ls7 wsb">Estimador eficiente: </div><div class="t m0 x1 h7 y3d ff2 fs4 fc0 sc0 ls7 wsb">Seja <span class="ff4">\ue73a</span></div><div class="t m0 x36 hb y3e ff4 fs5 fc0 sc0 ls5">\ueb35<span class="fs4 ls7 wsb v5">,<span class="_4 blank"> </span> <span class="_5 blank"> </span>\u2026<span class="_5 blank"> </span>,<span class="_5 blank"> </span> \ue73a</span></div><div class="t m0 x37 hd y3e ff4 fs5 fc0 sc0 ls8">\uebe1<span class="ff2 fs4 ls7 wsb v5"> a.a de <span class="_6 blank"></span><span class="ff4 wsc">\ue73a<span class="_7 blank"> </span>\u223c<span class="_0 blank"> </span>\ue726 <span class="ws5 v6">(</span><span class="ls9">\ue7e0</span><span class="ws5 v6">)</span><span class="ff2 wsb">. Seja <span class="_6 blank"></span><span class="ff4 wsd">\ue7df<span class="_8 blank"></span>\u0302 <span class="ff2 wsb"> um es<span class="_6 blank"></span>timador para <span class="ff4 wse">\ue7df<span class="_7 blank"> </span>=<span class="_0 blank"> </span>\ue7ec<span class="ws5 v6">(</span><span class="ls9">\ue7e0</span><span class="ws5 v6">)</span></span>. Dizemos que <span class="ff4 wsd">\ue7df<span class="_9 blank"></span>\u0302 <span class="ff2 wsb"> é </span></span></span></span></span></span></span></div><div class="t m0 x1 h7 y3f ff2 fs4 fc0 sc0 ls7 wsb">eficiente para <span class="ff4 lsa">\ue7df</span> se: </div><div class="t m0 x38 h7 y40 ff5 fs4 fc0 sc0 ls7 wsb">\u2022 <span class="_a blank"> </span><span class="ff4 wsd">\ue7df<span class="_9 blank"></span>\u0302 <span class="ff2 wsb"> é não tendencioso, e </span></span></div><div class="t m0 x38 he y41 ff5 fs4 fc0 sc0 ls7 wsb">\u2022 <span class="_a blank"> </span><span class="ff4 ws0">\ue738\ue73d\ue74e <span class="ws5 v6">(</span><span class="wsd">\ue7df<span class="_9 blank"></span>\u0302 <span class="lsb v6">)</span><span class="wsc">=<span class="_0 blank"> </span>\ue738\ue73d \ue74e</span></span></span></div><div class="t m0 x39 hc y42 ff4 fs5 fc0 sc0 lsc wsf">\uebe0\uebdc\uebe1 <span class="ff2 fs4 ls7 wsb v5">. </span></div><div class="t m0 x38 h7 y43 ff5 fs4 fc0 sc0 ls7 wsb">\u2022 <span class="_a blank"> </span><span class="ff2">Onde <span class="_1 blank"> </span><span class="ff4 wsc">\ue738\ue73d \ue74e</span></span></div><div class="t m0 x3a hb y44 ff4 fs5 fc0 sc0 ls7 ws10">\uebe0\uebdc\uebe1 <span class="ff2 fs4 wsb v5"> <span class="_b blank"> </span>é <span class="_b blank"> </span>a <span class="_b blank"> </span>menor <span class="_b blank"> </span>variância <span class="_1 blank"> </span>que <span class="_b blank"> </span>um <span class="_b blank"> </span>estimador <span class="_0 blank"> </span><span class="ff4 wsd">\ue7df<span class="_9 blank"></span>\u0302 <span class="ff2 wsb"> <span class="_b blank"> </span>não <span class="_b blank"> </span>viesado <span class="_b blank"> </span>pode </span></span></span></div><div class="t m0 x21 h8 y45 ff2 fs4 fc0 sc0 ls7 wsb">apresentar. </div><div class="t m0 x1 h8 y46 ff2 fs4 fc1 sc0 ls7 wsb">Resultado: <span class="_5 blank"> </span><span class="fc0">Se <span class="_5 blank"> </span>um <span class="_5 blank"> </span>esti<span class="_6 blank"></span>mador <span class="_5 blank"> </span>é <span class="_5 blank"> </span>eficiente, <span class="_c blank"> </span>então <span class="_c blank"> </span>ele <span class="_5 blank"> </span>é <span class="_5 blank"> </span>o <span class="_c blank"> </span>EMV <span class="_5 blank"> </span>(estimador <span class="_5 blank"> </span>de <span class="_c blank"> </span>máxima </span></div><div class="t m0 x1 h8 y47 ff2 fs4 fc0 sc0 ls7 wsb">verossimilhança). <span class="_8 blank"></span>Então <span class="_6 blank"></span>os <span class="_8 blank"></span>únicos <span class="_6 blank"></span>candidatos <span class="_8 blank"></span>a <span class="_8 blank"></span>estimador <span class="_6 blank"></span>eficiente <span class="_6 blank"></span>são <span class="_8 blank"></span>os <span class="_6 blank"></span>EMV. <span class="_8 blank"></span>Porém, </div><div class="t m0 x1 h8 y48 ff2 fs4 fc0 sc0 ls7 wsb">nem todo EMV é eficiente, logo nem sempre existe estimador eficient<span class="_6 blank"></span>e.<span class="_d blank"> </span> </div><div class="t m0 x1 h8 y49 ff2 fs4 fc0 sc0 ls7 wsb"> </div><div class="t m0 x1 h6 y4a ff3 fs3 fc1 sc0 ls7 wsb">Estimador UMVUE </div><div class="t m0 x1 h7 y4b ff2 fs4 fc0 sc0 ls7 wsb">Dizemos <span class="_7 blank"> </span>que <span class="_7 blank"> </span><span class="ff4">\ue7e0</span></div><div class="t m0 x3b h7 y4c ff4 fs4 fc0 sc0 ls0">\uede0<span class="ff2 ls7 wsb v1"> <span class="_7 blank"> </span>é <span class="_7 blank"> </span>UMVUE <span class="_7 blank"> </span>(Uniform <span class="_e blank"> </span>Minimum-Variance <span class="_7 blank"> </span>Unbiased <span class="_7 blank"> </span>Estimator), <span class="_7 blank"> </span>ou </span></div><div class="t m0 x1 h8 y4d ff2 fs4 fc0 sc0 ls7 wsb">Estimador não tendencioso de variância uniformement<span class="_6 blank"></span>e mínima, se:<span class="_d blank"> </span> </div><div class="t m0 x38 h7 y4e ff5 fs4 fc0 sc0 ls7 wsb">\u2022 <span class="_a blank"> </span><span class="ff4 ws1">\ue727 \ued63\ue7e0</span></div><div class="t m0 x3c h7 y4f ff4 fs4 fc0 sc0 ls2">\uede0<span class="ls7 ws2 v1">\ued67<span class="_0 blank"> </span>=<span class="_0 blank"> </span>\ue7e0 <span class="ff2 wsb">, e </span></span></div><div class="t m0 x38 h7 y50 ff5 fs4 fc0 sc0 ls7 wsb">\u2022 <span class="_a blank"> </span><span class="ff2">Dado outro estimador não viesado <span class="ff4">\ue7e0</span></span></div><div class="t m0 x3d h7 y51 ff4 fs4 fc0 sc0 lsd">\uede8<span class="ff2 ls7 wsb v1">, </span><span class="ls7 ws0 v1">\ue738\ue73d\ue74e \ued6b\ue7e0</span></div><div class="t m0 x3e h7 y51 ff4 fs4 fc0 sc0 ls2">\uede0<span class="ls7 ws4 v1">\ued6f \u2264 \ue738\ue73d\ue74e<span class="_d blank"> </span>\ued6b\ue7e0</span></div><div class="t m0 x3f h7 y51 ff4 fs4 fc0 sc0 lse">\uede8<span class="ls7 ws5 v1">\ued6f<span class="ff2 wsb">. </span></span></div><div class="t m0 x1 h8 y52 ff2 fs4 fc1 sc0 ls7 wsb">Resultado: <span class="fc0">Se um estimador é eficiente, então ele <span class="_1 blank"> </span>é UMVUE. Se um estimador é </span></div><div class="t m0 x1 h8 y53 ff2 fs4 fc0 sc0 ls7 wsb">UMVUE, não necessariamente ele é eficiente.<span class="fc1"> </span></div><div class="t m0 x1 h8 y54 ff2 fs4 fc0 sc0 ls7 wsb"> </div><div class="t m0 x1 hf y55 ff2 fs0 fc0 sc0 ls7 wsb"> </div><div class="t m0 x1 hf y56 ff2 fs0 fc0 sc0 ls7 wsb"> </div></div><div class="pi" data-data='{"ctm":[1.000000,0.000000,0.000000,1.000000,0.000000,0.000000]}'></div></div>
Compartilhar