<div dir="ltr"><div style="font-size:12.8px">Estimadas e Estimados,</div><div style="font-size:12.8px"><br></div><div style="font-size:12.8px"><span style="font-size:12.8px">O Departamento de Estatística da Universidade Federal da Bahia convida a todos para prestigiar em seu Ciclo de Palestras o seminário do professor <b>Paulo Henrique Ferreira da Silva</b>, do Departamento de Estatística do IM-UFBA</span><span style="font-size:12.8px">.</span></div><div style="font-size:12.8px"><br></div><div style="font-size:12.8px"><p class="MsoNormal" align="center" style="margin-bottom:0.0001pt;text-align:center;background-image:initial;background-repeat:initial"><font color="#ff0000" face="Arial, sans-serif"><span style="font-size:18px"><b>On the classical estimation of bivariate copula-based Seemingly Unrelated Tobit models through the proposed inference function for augmented margins method</b></span></font><b style="font-size:18px;font-family:Arial,sans-serif"><font color="#000000">(*)</font></b></p><p class="MsoNormal" style="margin-bottom:0.0001pt;font-size:12.8px;text-align:justify;background-image:initial;background-repeat:initial"><span style="font-size:9.5pt;font-family:'Times New Roman',serif"> </span><span style="font-size:9.5pt;font-family:Arial,sans-serif"></span></p><p class="MsoNormal" style="margin-bottom:0.0001pt;text-align:justify;background-image:initial;background-repeat:initial"><b style="font-size:12.8px"><span style="font-size:13.5pt;font-family:Arial,sans-serif">Abstract</span></b><span style="font-size:13.5pt;font-family:Arial,sans-serif"> -</span><span style="font-size:12.8px"> </span><font face="Arial, sans-serif"><span style="font-size:18px">This work performs the analysis of the bivariate Seemingly Unrelated (SUR) Tobit by modeling its nonlinear dependence structure through copula and assuming non-normal marginal error distributions. For model estimation, the use of copula methods enables the use of the (classical) Inference Function for Margins (IFM) method by Joe and Xu (1996), which is more computationally attractive (feasible) than the full maximum likelihood approach. However, our simulation study shows that the IFM method provides a biased estimate of the copula parameter in the presence of censored observations in both margins. In order to obtain an unbiased estimate of the copula association parameter, we propose/develop a modified version of the IFM method, which we refer to as Inference Function for Augmented Margins (IFAM). Since the usual asymptotic approach, i.e. the computation of the asymptotic covariance matrix of the parameter estimates, is troublesome, we propose the use of resampling procedures (bootstrap methods) to obtain confidence intervals for the copula-based SUR Tobit model parameters. The satisfactory results from the simulation and empirical studies indicate the adequate performance of our proposed model and methods. We illustrate our procedure using bivariate data on consumption of salad dressings and lettuce by U.S. individuals</span></font><span style="font-size:18px;font-family:Arial,sans-serif">.</span></p><p class="MsoNormal" style="margin-bottom:0.0001pt;font-size:12.8px;text-align:justify;background-image:initial;background-repeat:initial"><font face="Arial, sans-serif"><span style="font-size:18px"><br></span></font></p><p class="MsoNormal" style="margin-bottom:0.0001pt;font-size:12.8px;text-align:justify;background-image:initial;background-repeat:initial"><font face="Arial, sans-serif"><span style="font-size:18px"><b>(*)</b> Joint work with Francisco Louzada. </span></font></p><p class="MsoNormal" style="margin-bottom:0.0001pt;font-size:12.8px;text-align:justify;background-image:initial;background-repeat:initial"><span style="font-size:9.5pt;font-family:'Times New Roman',serif"> </span><span style="font-size:9.5pt;font-family:Arial,sans-serif"></span></p><p class="MsoNormal" style="margin-bottom:0.0001pt;font-size:12.8px;text-align:justify;background-image:initial;background-repeat:initial"><b><span style="font-size:13.5pt;font-family:Arial,sans-serif">Data</span></b><span style="font-size:13.5pt;font-family:Arial,sans-serif">: 15/04/2016 (sexta-feira), às 11 horas da manhã.</span><span style="font-size:9.5pt;font-family:Arial,sans-serif"></span></p><p class="MsoNormal" style="margin-bottom:0.0001pt;font-size:12.8px;text-align:justify;background-image:initial;background-repeat:initial"><b><span style="font-size:13.5pt;font-family:Arial,sans-serif">Local</span></b><span style="font-size:13.5pt;font-family:Arial,sans-serif">: Sala 13, no andar térreo do Instituto de Matemática da UFBA.</span><span style="font-size:9.5pt;font-family:Arial,sans-serif"></span></p><p class="MsoNormal" style="margin-bottom:0.0001pt;font-size:12.8px;text-align:justify;background-image:initial;background-repeat:initial"><span style="font-size:9.5pt;font-family:Arial,sans-serif"> </span></p><p class="MsoNormal" style="margin-bottom:0.0001pt;font-size:12.8px;text-align:justify;background-image:initial;background-repeat:initial"><font face="Arial, sans-serif"><span style="font-size:18px"><b><font color="#000000">Apresentador:</font><font color="#ff0000"> Paulo Henrique Ferreira da Silva</font></b></span></font><br></p><p class="MsoNormal" style="margin-bottom:0.0001pt;font-size:12.8px;text-align:justify;background-image:initial;background-repeat:initial"><font face="Arial, sans-serif"><span style="font-size:18px"></span></font></p><p class="MsoNormal" style="margin-bottom:0.0001pt;text-align:justify;background-image:initial;background-repeat:initial"><font face="Arial, sans-serif"><span style="font-size:18px">É Professor Adjunto da Universidade Federal da Bahia, junto ao Departamento de Estatística do Instituto de Matemática, e também Coordenador do Projeto CEP Online do Laboratório de Estudos do Risco (CER-USP). Possui graduação, mestrado e doutorado em Estatística pela Universidade Federal de São Carlos. Atua principalmente nas seguintes áreas: Regressão; Análise Multivariada; Análise de Sobrevivência e Confiabilidade; e Controle Estatístico de Processos.</span></font><br></p><p class="MsoNormal" style="margin-bottom:0.0001pt;font-size:12.8px;text-align:justify;background-image:initial;background-repeat:initial"><font face="Arial, sans-serif"><span style="font-size:18px"><br></span></font></p><p class="MsoNormal" style="margin-bottom:0.0001pt;font-size:12.8px;text-align:justify;background-image:initial;background-repeat:initial"><font face="Arial, sans-serif"><span style="font-size:18px"><b>Coordenador</b>: Rodrigo de Souza Bulhões</span></font></p></div></div>