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Vehicle and Fleet Random Effects in a Model of Insurance Rating for Fleets of Vehicles

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Author Info
Jean-François Angers
Denise Desjardins
Georges Dionne
François Guertin

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Abstract

We are proposing a parametric model to rate insurance for vehicles belonging to a fleet. The tables of premiums presented take into account past vehicle accidents, observable characteristics of the vehicles and fleets, and violations of the road-safety code committed by drivers and carriers. The premiums are also adjusted according to accidents accumulated by the fleets over time. The model proposed accounts directly for explicit changes in the various components of the probability of accidents. It represents an extension of bonus-malus-type automobile insurance models for individual premiums (Lemaire, 1985; Dionne and Vannase, 1989 and 1992; Pinquet, 1997 and 1998; Frangos and Vrontos, 2001; Purcaru and Denuit, 2003). The extension adds a fleet effect to the vehicle effect so as to account for the impact that the unobservable characteristics or actions of carriers can have on truck accident rates. This form of rating makes it possible to visualize what impact the behaviors of owners and drivers can have on the predicted rate of accidents and, consequently, on premiums.

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Paper provided by CIRPEE in its series Cahiers de recherche with number 0423.

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Date of creation: 2004
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Handle: RePEc:lvl:lacicr:0423

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Related research
Keywords: Fleet of vehicles; random effects; vehicle effect; fleet effect; insurance pricing; behaviors of owners and drivers; Poisson; gamma; Dirichlet;

Find related papers by JEL classification:
D81 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Criteria for Decision-Making under Risk and Uncertainty
G22 - Financial Economics - - Financial Institutions and Services - - - Insurance; Insurance Companies

This paper has been announced in the following NEP Reports:

References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
  1. Dionne, G. & Laberge-Nadeau, C. & Desjardins, D. & Messier, S. & Maag, U., 1998. "Analysis of the Economic Impact of Medical and Optometric Driving Standards on Costs Incured by Trucking Firms and on the Social Costs of Traffic Accidents," Ecole des Hautes Etudes Commerciales de Montreal- 98-06, Ecole des Hautes Etudes Commerciales de Montreal-Chaire de gestion des risques..
  2. J. Pinquet, 1997. "Experience rating through heterogeneous models," THEMA Working Papers 97-25, THEMA (THéorie Economique, Modélisation et Applications), Université de Cergy-Pontoise.
  3. Pinquet, J., 1998. "Designing Optimal Bonus-Malus Systems from Different Types of Claims," Papers 9819, Paris X - Nanterre, U.F.R. de Sc. Ec. Gest. Maths Infor..
  4. Dionne, G. & Vanasse, C., 1988. "A Generalization Of Automobile Insurance Rating Models: The Negative Binomial Distribution With A Regression Component," Cahiers de recherche 8833, Centre interuniversitaire de recherche en économie quantitative, CIREQ.
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  5. Dionne, G. & Desjardins, D. & Ingabire, M.-G. & Aqdim, R., 2001. "La perception du risque d'etre arrete chez les camionneurs et transporteurs routiers," Ecole des Hautes Etudes Commerciales de Montreal- 01-03, Ecole des Hautes Etudes Commerciales de Montreal-Chaire de gestion des risques..
  6. Teugels, Jozef L. & Sundt, Bjorn, 1991. "A stop-loss experience rating scheme for fleets of cars," Insurance: Mathematics and Economics, Elsevier, vol. 10(3), pages 173-179, December. [Downloadable!] (restricted)
  7. John M. Abowd & Francis Kramarz & David N. Margolis, 1999. "High Wage Workers and High Wage Firms," Econometrica, Econometric Society, vol. 67(2), pages 251-334, March.
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  8. D. Desjardins & G. Dionne & J. Pinquet, 2000. "Experience rating schemes for fleets of vehicles," THEMA Working Papers 2000-08, THEMA (THéorie Economique, Modélisation et Applications), Université de Cergy-Pontoise. [Downloadable!]
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  9. Hausman, Jerry & Hall, Bronwyn H & Griliches, Zvi, 1984. "Econometric Models for Count Data with an Application to the Patents-R&D Relationship," Econometrica, Econometric Society, vol. 52(4), pages 909-38, July. [Downloadable!] (restricted)
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  10. J. Pinquet, 1998. "Designing optimal bonus-malus systems from different types of claims," THEMA Working Papers 98-19, THEMA (THéorie Economique, Modélisation et Applications), Université de Cergy-Pontoise. [Downloadable!]
  11. Dionne, G & Vanasse, C, 1992. "Automobile Insurance Ratemaking in the Presence of Asymmetrical Information," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 7(2), pages 149-65, April-Jun. [Downloadable!] (restricted)
    Other versions:
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