<div dir="ltr"><span style="color:rgb(0,0,0);text-align:center;font-family:arial,helvetica,sans-serif"><strong>Seminário Conjunto do Programa de Pós-Graduação em Estatística da UFPE </strong></span><span style="text-align:center;font-size:13px;font-family:arial,sans-serif;white-space:pre-wrap"> <b>e do </b></span><span style="text-align:center;font-size:13px;font-family:arial,sans-serif;white-space:pre-wrap"><b>Programa de Pós Graduação em Engenharia de Produção</b></span><br><div class="gmail_quote"><div dir="ltr"><div class="gmail_quote"><div dir="ltr"><div><font face="arial, sans-serif"><span style="white-space:pre-wrap"><br></span></font><p style="color:rgb(0,0,0);font-family:Verdana,Arial,Helvetica,sans-serif;margin:0cm 0cm 0pt;text-align:center"><span style="font-family:arial,helvetica,sans-serif">"</span><span style="color:rgb(34,34,34);font-family:arial,sans-serif;font-size:13px;text-align:start;white-space:pre-wrap">On Exact Posterior Distributions</span><span style="font-family:arial,helvetica,sans-serif">"</span></p><p style="color:rgb(0,0,0);font-family:Verdana,Arial,Helvetica,sans-serif;margin:0cm 0cm 0pt;text-align:center"> </p><p style="color:rgb(0,0,0);font-family:Verdana,Arial,Helvetica,sans-serif;margin:0cm 0cm 0pt;text-align:center"> </p><p style="color:rgb(0,0,0);font-family:Verdana,Arial,Helvetica,sans-serif;margin:0cm 0cm 0pt;text-align:center"><span style="color:rgb(34,34,34);font-family:arial,sans-serif;font-size:13px;text-align:start;white-space:pre-wrap">Dr. José Aílton Andrade </span><br></p><p style="color:rgb(0,0,0);font-family:Verdana,Arial,Helvetica,sans-serif;margin:0cm 0cm 0pt;text-align:center"><span style="color:rgb(34,34,34);font-family:arial,sans-serif;font-size:13px;text-align:start;white-space:pre-wrap"><br></span></p><p style="font-family:Verdana,Arial,Helvetica,sans-serif;margin:0cm 0cm 0pt;text-align:center"><span style="font-family:'Arial Narrow';text-align:left"><font color="#000000">Departamento de Estatística e Matemática Aplicada -  UFC </font></span><span style="color:rgb(34,34,34);font-family:arial,sans-serif;font-size:13px;text-align:start;white-space:pre-wrap"><br></span></p><div style="font-family:arial,sans-serif;text-align:center"><br></div><div style="font-family:arial,sans-serif;text-align:center"> </div><div style="font-family:arial,sans-serif;text-align:center"> </div><p style="color:rgb(0,0,0);font-family:Verdana,Arial,Helvetica,sans-serif;margin:0cm 0cm 0pt;text-align:center"><span style="font-family:arial,helvetica,sans-serif"><span style="color:rgb(26,26,26)">Data: 05 de dezembro de 2014 (sexta-feira)</span></span></p><p style="color:rgb(0,0,0);font-family:Verdana,Arial,Helvetica,sans-serif;margin:0cm 0cm 0pt;text-align:center"> </p><p style="color:rgb(0,0,0);font-family:Verdana,Arial,Helvetica,sans-serif;margin:0cm 0cm 0pt;text-align:center"> </p><p style="color:rgb(0,0,0);font-family:Verdana,Arial,Helvetica,sans-serif;margin:0cm 0cm 0pt;text-align:center"> </p><p style="color:rgb(0,0,0);font-family:Verdana,Arial,Helvetica,sans-serif"><span style="color:rgb(26,26,26);font-family:arial,helvetica,sans-serif">Horário: 11:00 horas</span></p><p style="color:rgb(0,0,0);font-family:Verdana,Arial,Helvetica,sans-serif"><span style="color:rgb(26,26,26);font-family:arial,helvetica,sans-serif">Local: Auditório Ruy Gomes - Departamento de Estatística da UFPE, <br></span><span style="color:rgb(26,26,26);font-family:arial,helvetica,sans-serif">Segundo andar do CCEN</span></p><div style="color:rgb(0,0,0);font-family:Verdana,Arial,Helvetica,sans-serif"> </div><div style="color:rgb(0,0,0);font-family:Verdana,Arial,Helvetica,sans-serif"> <span style="font-family:arial,sans-serif;font-size:13px;white-space:pre-wrap;color:rgb(34,34,34)">Resumo</span></div><span style="font-family:arial,sans-serif;font-size:13px;white-space:pre-wrap"> </span><br style="font-family:arial,sans-serif;font-size:13px;white-space:pre-wrap"><span style="font-family:arial,sans-serif;font-size:13px;white-space:pre-wrap">The use of approximate methods such as MCMC is widespread in Bayesian Analysis. Due to efficient and flexibility of those methods most of the literature in this area has been focused on improving the algorithms, trying to automatise them and addressing problems of convergence. In fact, due to the applications, those methods made Bayesian Inference one of the most prominent modern sciences of the past three decades. Nevertheless, in this work we point to another direction, which allows to obtain analytically the posterior distribution in a great variate of non-conjugate models. We use the theory of special functions in the Bayesian computation context to compute the posterior distribution and its quantities in an exact form. The theory is presented using a general single parameter model based on H-functions, in which we provide a general procedure to obtain posterior distributions which are exact, in the sense that the posterior quantities, such as the moments, the cumulative and the predictive posterior distributions, are explicitly written in a computable form.</span><br style="font-family:arial,sans-serif;font-size:13px;white-space:pre-wrap"><span style="font-family:arial,sans-serif;font-size:13px;white-space:pre-wrap"> </span><br style="font-family:arial,sans-serif;font-size:13px;white-space:pre-wrap"><span style="font-family:arial,sans-serif;font-size:13px;white-space:pre-wrap">Financiado pelo Programa de Pós Graduação em Engenharia de Produção</span></div><span><font color="#888888"><span><font color="#888888">-- <br><div><div dir="ltr">Francisco José A. Cysneiros<div>Associate professor </div><div><span style="background-color:rgb(238,238,238);font-family:'Lucida Grande','Lucida Sans Unicode','Lucida Sans',Geneva,Arial,Helvetica,Tahoma,sans-serif;font-size:13px">Head of the Graduate Program in Statistics</span></div><div><span style="background-color:rgb(238,238,238);font-family:'Lucida Grande','Lucida Sans Unicode','Lucida Sans',Geneva,Arial,Helvetica,Tahoma,sans-serif;font-size:13px">Departament of Statistics - </span><span style="background-color:rgb(238,238,238);font-family:'Lucida Grande','Lucida Sans Unicode','Lucida Sans',Geneva,Arial,Helvetica,Tahoma,sans-serif">UFPE</span></div><div><font face="Lucida Grande, Lucida Sans Unicode, Lucida Sans, Geneva, Arial, Helvetica, Tahoma, sans-serif"><a href="http://www.de.ufpe.br/~cysneiros" target="_blank">www.de.ufpe.br/~cysneiros</a></font></div><div><b style="color:rgb(0,0,0);font-family:'Times New Roman',serif;font-size:medium;text-align:center"><span lang="EN-US"><a href="http://lattes.cnpq.br/1313497098151734" style="color:purple" target="_blank">http:/lattes.cnpq.br/1313497098151734</a></span></b></div><div><b style="color:rgb(0,0,0);font-family:'Times New Roman',serif;font-size:medium;text-align:center"><span lang="EN-US"><a href="http://www.researcherid.com/rid/G-6333-2012" style="color:purple" target="_blank"><span style="color:purple"><span><span lang="PT-BR">ResearchedId</span></span></span><span lang="PT-BR" style="color:purple"> G-633-2012</span></a></span></b></div><div><b style="color:rgb(0,0,0);font-family:'Times New Roman',serif;font-size:medium;text-align:center"><span lang="EN-US"><a href="http://orcid.org/0000-0001-6757-6969" style="color:purple" target="_blank"><span lang="PT-BR">ORCID</span></a></span></b></div></div></div>
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