Bayesian Estimates of Distribution for Count Data with Overdispersion

This paper deals with two classes distribution of count data with overdispersion: Zero-inflated Distribution and Inflated-parameter Distribution, which are accordance with data of claims. We consider several model formulations of those distributions by using Bayesian theory and MCMC methods in WinBUGS. By comparison, a approach of modelling data is obtained and two illustrations with real data are provided.