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Experience rating in non-life insurance

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Author Info

  • Jean Pinquet

    (Department of Economics, Ecole Polytechnique - CNRS : UMR7176 - Polytechnique - X)

Abstract

This paper presents statistical models which lead to experience rating in insurance. Serial correlation for risk variables can receive endogeneous or exogeneous explanations. The interpretation retained by actuarial models is exogeneous and reflects the positive contagion usually observed for the number of claims. This positive contagion can be explained by the revelation throughout time of a hidden features in the risk distributions. These features are represented by fixed effects which are predicted with a random effects model. This article discusses identification issues on the nature of the dynamics of non-life insurance data. Example of predictions are given for count data models with a constant or time-varying random effects, one or several equations, and for cost-number models on events.

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Bibliographic Info

Paper provided by HAL in its series Working Papers with number hal-00677100.

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Date of creation: 07 Mar 2012
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Handle: RePEc:hal:wpaper:hal-00677100

Note: View the original document on HAL open archive server: http://hal.archives-ouvertes.fr/hal-00677100
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Related research

Keywords: Fixed and random effects ; overdispersion ; expected value principle ; linear credibility approach.;

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References

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  1. Bolancé, Catalina & Guillén, Montserrat & Pinquet, Jean, 2008. "On the link between credibility and frequency premium," Insurance: Mathematics and Economics, Elsevier, vol. 43(2), pages 209-213, October.
  2. C. Bolancé & M. Guillén & J. Pinquet, 2002. "Time-varying credibility for frequency risk models : Estimation and tests for autoregressive specifications on the random effects," THEMA Working Papers 2002-18, THEMA (THéorie Economique, Modélisation et Applications), Université de Cergy-Pontoise.
  3. Georges Dionne & Jean Pinquet & Mathieu Maurice & Charles Vanasse, 2011. "Incentive Mechanisms for Safe Driving: A Comparative Analysis with Dynamic Data," The Review of Economics and Statistics, MIT Press, vol. 93(1), pages 218-227, February.
  4. 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.
  5. 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.
  6. Jaap H. Abbring & Pierre-Andre Chiappori, 2004. "Moral Hazard and Dynamic Insurance Data," 2004 Meeting Papers 316, Society for Economic Dynamics.
  7. Desjardins, D. & Dionne, G. & Pinquet, J., 2000. "Experience Rating Schemes for Fleets of Vehicules," Ecole des Hautes Etudes Commerciales de Montreal- 00-03, Ecole des Hautes Etudes Commerciales de Montreal-Chaire de gestion des risques..
  8. Bourgeon, Jean-Marc & Picard, Pierre, 2007. "Point-record driving licence and road safety: An economic approach," Journal of Public Economics, Elsevier, vol. 91(1-2), pages 235-258, February.
  9. Frees, Edward W. & Valdez, Emiliano A., 2008. "Hierarchical Insurance Claims Modeling," Journal of the American Statistical Association, American Statistical Association, vol. 103(484), pages 1457-1469.
  10. Jean-François Angers & Denise Desjardins & Georges Dionne & François Guertin, 2004. "Vehicle and Fleet Random Effects in a Model of Insurance Rating for Fleets of Vehicles," Cahiers de recherche 0423, CIRPEE.
  11. J. Pinquet, 1997. "Experience rating through heterogeneous models," THEMA Working Papers 97-25, THEMA (THéorie Economique, Modélisation et Applications), Université de Cergy-Pontoise.
  12. Lillard, Lee A., 1993. "Simultaneous equations for hazards : Marriage duration and fertility timing," Journal of Econometrics, Elsevier, vol. 56(1-2), pages 189-217, March.
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Cited by:
  1. Georges Dionne, 2012. "The Empirical Measure of Information Problems with Emphasis on Insurance Fraud and Dynamic Data," Cahiers de recherche 1233, CIRPEE.

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