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Mixed Poisson regression models with covariate dependent rates
P Wang1, M L Puterman, I Cockburn
1Nanyang Business School, Nanyang Technical University, Singapore 2264.
Abstract:
This paper studies a class of Poisson mixture models that includes covariates in rates. This model contains Poisson regression and independent Poisson mixtures as special cases. Estimation methods based on the EM and quasi-Newton algorithms, properties of these estimates, a model selection procedure, residual analysis, and goodness-of-fit test are discussed. A Monte Carlo study investigates implementation and model choice issues. This methodology is used to analyze seizure frequency and Ames salmonella assay data.
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