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Document Details :

Title: The True Claim Amount and Frequency Distribution of a Bonus-Malus System
Author(s): WALHIN, J.F. , PARIS, J.
Journal: ASTIN Bulletin
Volume: 30    Issue: 2   Date: November 2000   
Pages: 391-404
DOI: 10.2143/AST.30.2.504642

Abstract :
We apply Lemaire's algorithm and a non-parametric mixed Poisson fit to a motor insurance portfolio in order to find the true claim frequency and claim amount distributions. The algorithm we develop accounts for the fact that observed distributions are distorted by bonus hunger, when a bonus-malus system is used by the insurer.