Objective Bayes testing of Poisson versus inflated Poisson models

Details Objective Bayes testing of Poisson versus inflated Poisson models Objective Bayes testing of Poisson versus inflated Poisson models

2008-05-21

arxiv.org/abs/0805.3220v1

IMS Collections 2008, Vol. 3, 105-121

Mathematics

Statistics Theory

Published in at http://dx.doi.org/10.1214/074921708000000093 the IMS Collections (http://www.imstat.org/publications/imscollec

Scientific paper

10.1214/074921708000000093

The Poisson distribution is often used as a standard model for count data. Quite often, however, such data sets are not well fit by a Poisson model because they have more zeros than are compatible with this model. For these situations, a zero-inflated Poisson (ZIP) distribution is often proposed. This article addresses testing a Poisson versus a ZIP model, using Bayesian methodology based on suitable objective priors. Specific choices of objective priors are justified and their properties investigated. The methodology is extended to include covariates in regression models. Several applications are given.

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