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Designing Optimal Bonus-Malus Systems from Different Types of Claims

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  • Pinquet, J.

Abstract

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.

Suggested Citation

  • Pinquet, J., 1998. "Designing Optimal Bonus-Malus Systems from Different Types of Claims," Papers 9819, Paris X - Nanterre, U.F.R. de Sc. Ec. Gest. Maths Infor..
    • Handle: RePEc:fth:pnegmi:9819
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    JEL classification:

    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis
    • C62 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Existence and Stability Conditions of Equilibrium

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