A Survey of the Individual Claim Size and Other Risk Factors Using Credibility Bonus-Malus Premiums

Emilio Gómez-Déniz and Enrique Calderín-Ojeda
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Emilio Gómez-Déniz: Department of Quantitative Methods and TIDES Institute, University of Las Palmas de Gran Canaria, 35017 Las Palmas de Gran Canaria, Spain
Enrique Calderín-Ojeda: Centre for Actuarial Studies, Department of Economics, The University of Melbourne, Melbourne, VIC 3010, Australia

Risks, 2020, vol. 8, issue 1, 1-19

Abstract: In this paper, a flexible count regression model based on a bivariate compound Poisson distribution is introduced in order to distinguish between different types of claims according to the claim size. Furthermore, it allows us to analyse the factors that affect the number of claims above and below a given claim size threshold in an automobile insurance portfolio. Relevant properties of this model are given. Next, a mixed regression model is derived to compute credibility bonus-malus premiums based on the individual claim size and other risk factors such as gender, type of vehicle, driving area, or age of the vehicle. Results are illustrated by using a well-known automobile insurance portfolio dataset.

Keywords: aggregate claims; auto insurance; Bayesian; bonus-malus; compound distribution (search for similar items in EconPapers)
JEL-codes: C G0 G1 G2 G3 K2 M2 M4 (search for similar items in EconPapers)
Date: 2020
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