While both zero-inflation and the unobserved heterogeneity in risks are prevalent issues in modeling insurance claim counts, determination of Bayesian credibility premium of the claim counts with these features are often demanding due to high computational costs associated with a use of MCMC....

It is not uncommon to observe that an insurance policy consists of multiple coverages which cover different perils. In order to capture possible dependence among the claims from multiple coverages and reflect it in a posteriori ratemaking for property and casualty insurance, a shared random...