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1 results

  • Dependence in Dynamic Claim Frequency Credibility Models

  • Oana Purcaru, Michel Denuit
  • Journal:
    ASTIN Bulletin: The Journal of the IAA / Volume 33 / Issue 1 / May 2003
    Published online by Cambridge University Press:
    17 April 2015, pp. 23-40
    Print publication:
    May 2003
    • Article
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  • In nonlife insurance, actuaries usually resort to random effects to take unexplained heterogeneity into account (in the spirit of the Bühlmann-Straub model). This paper aims to study the kind of dependence induced by the introduction of correlated latent variables in the annual numbers of claims reported by policyholders. The effect of reporting claims on the a posteriori distribution of the random effects will be made precise. This will be done by establishing some stochastic monotonicity property of the a posteriori distribution with respect to the claims history.