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Document Details : Title: A Generalization of Automobile Insurance Rating Models Subtitle: The Negative Binomial Distribution with a Regression Compound Author(s): DIONNE, Georges , VANASSE, Charles Journal: ASTIN Bulletin Volume: 19 Issue: 2 Date: November 1989 Pages: 199-212 DOI: 10.2143/AST.19.2.2014909 Abstract : The objective of this paper is to provide an extension of well-known models of tarification in automobile insurance. The analysis begins by introducing a regression component in the Poisson model in order to use all available information in the estimation of the distribution. In a second step, a random variable is included in the regression component of the Poisson model and a negative binomial model with a regression component is derived. We then present our main contribution by proposing a bonus-malus system which integrates a priori and a posteriori information on an individual basis. We show how net premium tables can be derived from the model. Examples of tables are presented. |
