Bayesian Binomial Mixtures

Mixture of binomial distributions are often considered as a flexible model for count data which can account for sources of heterogeneity in the population and also as a device to deal with exchangeable binary sequences. For instance they are routinely used in a wide range of applied context such as psychological testing as well as in industrial sampling or in toxicological experiments, just to mention some of them. Different parameterizations are presented in order to build up a convenient methodological framework for developing a default Bayesian analysis when no parametric form of the mixing distribution is assumed. This approach can be exploited for estimation and prediction purposes.