Busca avançada
Ano de início
Entree


Bayesian Modeling of Censored Partial Linear Models using Scale-Mixtures of Normal Distributions

Texto completo
Autor(es):
Castro, Luis M. ; Lachos, Victor H. ; Ferreira, Guillermo P. ; Arellano-Valle, Reinaldo B. ; Stern, JM ; Lauretto, MD ; Polpo, A ; Diniz, MA
Número total de Autores: 8
Tipo de documento: Artigo Científico
Fonte: XI BRAZILIAN MEETING ON BAYESIAN STATISTICS (EBEB 2012); v. 1490, p. 12-pg., 2012-01-01.
Resumo

Regression models where the dependent variable is censored (limited) are usually considered in statistical analysis. Particularly, the case of a truncation to the left of zero and a normality assumption for the error terms is studied in detail by [1] in the well known Tobit model. In the present article, this typical censored regression model is extended by considering a partial linear model with errors belonging to the class of scale mixture of normal distributions. We achieve a fully Bayesian inference by adopting a Metropolis algorithm within a Gibbs sampler. The likelihood function is utilized to compute not only some Bayesian model selection measures but also to develop Bayesian case-deletion influence diagnostics based on the q-divergence measures. We evaluate the performances of the proposed methods with simulated data. In addition, we present an application in order to know what type of variables affect the income of housewives. (AU)

Processo FAPESP: 11/17400-6 - Aplicações das distribuições de misturas da escala Skew-Normal em modelos de efeitos mistos
Beneficiário:Víctor Hugo Lachos Dávila
Modalidade de apoio: Auxílio à Pesquisa - Regular