Double Generalized Beta-Binomial and Negative Binomial Regression Models

Abstract

Overdispersion is a common phenomenon in count datasets, that can greatly affect inferences about the model. In this paper develop three joint mean and dispersion regression models in order to fit overdispersed data. These models are based on reparameterizations of the beta-binomial and negative binomial distributions. Finally, we propose a Bayesian approach to estimate the parameters of the overdispersion regression models and use it to fit a school absenteeism dataset.

Keywords

• Bayesian Approach
• Beta-Binomial Distribution
• Distribution
• Gamma Distribution
• Negative Binomial
• Overdispersion
• Poisson Distribution