Bayesian analysis of categorical data informatively censored

Carlos Daniel Paulino, Carlos Alberto de Bragança Pereira · Communication in Statistics- Theory and Methods · 1992

Abstract This article presents a general Bayesian analysis of incomplete categorical data considered as generated by a statistical model involving the categorical sampling process and the observable censoring process. The novelty is that we allow dependence of the censoring process paramenters on the sampling categories; i.e., an informative censoring process. In this way, we relax the assumptions under which both classical and Bayesian solutions have been de-veloped. The proposed solution is outlined for the relevant case of the censoring pattern based on partitions. It is completely developed for a simple but typical examples. Several possible extensions of our procedure are discussed in the final remarks. Keywords: Bayesian operationDirichlet and generalized Dirichlet distributionsincomplete categorical datainformative censoring processAMS classification: 62A1562H1762C10

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