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Document Details :

Title: Using the Poisson Inverse Gaussian in Bonus-Malus Systems
Author(s): TREMBLEY, Luc
Journal: ASTIN Bulletin
Volume: 22    Issue: 1   Date: May 1992   
Pages: 97-106
DOI: 10.2143/AST.22.1.2005129

Abstract :
In this paper, we will cover the bonus-malus system in automobile insurance. Bonus-malus systems are based on the distribution of the number of car accidents Therefore, the modelling and fitting of that dlsmbuhon are considered. Fitting of data is done using the Poisson inverse Gaussian distribution, which shows a good fit Building the bonus system is done by minimizing the insurer's risk, according to LEMAIRE'S (1985) bonus system.