Econometric Modeling — Extensions
This chapter contains the core of the analysis and presents a variety of models that overcome the shortcomings of the Poisson regression model. The models are either parametric, introducing one or more additional parameters to be estimated, or semi-parametric,relying on the consistency property of pseudo maximum likelihood estimation. Among the parametric models, the class of Poisson mixture models has found most previous attention, solving the problem caused by unobserved heterogeneity through a parametric distribution for the random effect. Whereas this essentially is a reduced form approach, both the hurdle Poisson model and the Poisson logistic regression allow for a structural interpretation, i.e. for the identification of some characteristics of the underlying data generating process.
KeywordsEconometric Modeling Poisson Model Poisson Regression Model Negative Binomial Model Probability Generate Function
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