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Bayesian analysis of two overdispersed poisson regression models
Authors:David P M Scollnik
Institution:Department of Mathematics and Statistics , University of Calgary , Calgary, Alberta, T2N 1N4, Canada E-mail: scollnik@acs.ucalgary.ca
Abstract:Shookri and Consul (1989) and Scollnik (1995) have previously considered the Bayesian analysis of an overdispersed generalized Poisson model. Scollnik (1995) also considered the Bayesian analysis of an ordinary Poisson and over-dispersed generalized Poisson mixture model. In this paper, we discuss the Bayesian analysis of these models when they are utilised in a regression context. Markov chain Monte Carlo methods are utilised, and an illustrative analysis is provided.
Keywords:adaptive rejection Metropolis sampling  Bayesian inference  Gibbs sampling  Markov chain Monte Carlo methods  overdispersion  Poisson models  prediction  regression
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