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A Generalization of Automobile Insurance Rating Models: the Negative Binomial Distribution with a Regression Component

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  • Dionne, G.
  • Vanasse, C.

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.
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Suggested Citation

  • Dionne, G. & Vanasse, C., 1988. "A Generalization of Automobile Insurance Rating Models: the Negative Binomial Distribution with a Regression Component," Cahiers de recherche 8833, Universite de Montreal, Departement de sciences economiques.
    • Handle: RePEc:mtl:montde:8833
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    File URL: http://hdl.handle.net/1866/2326
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    Keywords

    Tarifs Douaniers ; Analyse Statistique;

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