Estimation and influence diagnostics for zero-inflated hyper-Poisson regression model: full Bayesian analysis

The purpose of this paper is to develop a Bayesian analysis for the zero-inflated hyper-Poisson model. Markov chain Monte Carlo methods are used to develop a Bayesian procedure for the model and the Bayes estimators are compared by simulation with the maximum-likelihood estimators. Regression modeli...

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Detalles Bibliográficos
Autores: Cancho, Vicente G., Bao Yiqi, Fiorucci, Jose A., Barriga, Gladys D. C., Dey, Dipak K.
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2018
País:Brasil
Institución:Universidade Estadual Paulista (UNESP)
Repositorio:Repositório Institucional da UNESP
Idioma:inglés
OAI Identifier:oai:repositorio.unesp.br:11449/164037
Acceso en línea:http://dx.doi.org/10.1080/03610926.2017.1342839
http://hdl.handle.net/11449/164037
Access Level:acceso abierto
Palabra clave:Bayesian inference
hyper-Poisson distribution
Kullback-Leibler divergence
zero-inflated models
Descripción
Sumario:The purpose of this paper is to develop a Bayesian analysis for the zero-inflated hyper-Poisson model. Markov chain Monte Carlo methods are used to develop a Bayesian procedure for the model and the Bayes estimators are compared by simulation with the maximum-likelihood estimators. Regression modeling and model selection are also discussed and case deletion influence diagnostics are developed for the joint posterior distribution based on the functional Bregman divergence, which includes -divergence and several others, divergence measures, such as the Itakura-Saito, Kullback-Leibler, and (2) divergence measures. Performance of our approach is illustrated in artificial, real apple cultivation experiment data, related to apple cultivation.