Untitled - UFRJ

Untitled - UFRJ Untitled - UFRJ

11.07.2015 Views

Latent Residual Analysis in Binary Regression withSkewed LinkRafael Braz Azevedo FariasUniversity of Sao PauloMárcia D. BrancoUniversity of Sao PauloDipak K. DeyUniversity of ConnecticutDiagnostic techniques are indispensable tools to check goodness of the fitted models. In particular,residuals are used to check whether or not the model assumptions are hold by the data. Moreover,residuals are also useful to help in outlier detection, which can provide disproportional interference ininferential results. In this work we describe some types of residuals used in the Bayesian binary regressionmodel framework. Among them, we present latent residuals obtained through scale mixture of normals,which include probit Student-t and logistic models. We develop and implement residuals analysis forbinary response data for the probit, logistic, skew-probit and GEV models. For a simulated data set wedetect the presence of outliers using residuals proposed here for the different models.81

Modelo Partição Produto com “Clusters” CorrelacionadosJacqueline Alves FerrreiaPrograma de Pós-Graduação - UFMGRosangela Helena LoschiDepartamento de Estatística, ICEx-UFMGMarcelo AzevedoDepartamento de Estatística, ICEx-UFMGIdentificar pontos de mudança é extremamente útil em diversas áreas de conhecimento, como porexemplo, economia, meteorologia, hidrologia, medicina entre outras. Neste trabalho, esse problema serátratado do ponto de vista bayesiano, através de uma extensão do modelo partição produto. Apesarda metodologia de identificação de pontos de mudança ser amplamente utilizada na análise de dadossequenciais, em geral, é feita a suposição de que as médias entre blocos são independentes. Nestecontexto, esse trabalho propõe um modelo baseado na idéia de processos de Markov, que consideraa correlação entre as médias dos clusters. A metodologia proposta é avaliada no contexto em que asequência de dados possui distribuição Normal. A proposta deste estudo é comparada com o modelopartição produto, muito usual na literatura, através de ensaios de Monte Carlo.82

Latent Residual Analysis in Binary Regression withSkewed LinkRafael Braz Azevedo FariasUniversity of Sao PauloMárcia D. BrancoUniversity of Sao PauloDipak K. DeyUniversity of ConnecticutDiagnostic techniques are indispensable tools to check goodness of the fitted models. In particular,residuals are used to check whether or not the model assumptions are hold by the data. Moreover,residuals are also useful to help in outlier detection, which can provide disproportional interference ininferential results. In this work we describe some types of residuals used in the Bayesian binary regressionmodel framework. Among them, we present latent residuals obtained through scale mixture of normals,which include probit Student-t and logistic models. We develop and implement residuals analysis forbinary response data for the probit, logistic, skew-probit and GEV models. For a simulated data set wedetect the presence of outliers using residuals proposed here for the different models.81

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