Designing Optimal Bonus-Malus Systems from Different Types of Claims
This paper provides bonus-malus systems which rest on different types of claims. Consistent estimators are given for some moments of themixing distribution of a multi equation Poisson model with random effects. Bonus-malus coefficients are then obtained with the expected value principle, and from linear credibility predictors. E,pirical results are presented for two types of claims, namely claims with or without liability with respect to a third party.