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Stochastic modelling in experience rating. (Stochastische Modellierung in der Erfahrungstarifierung.) (German) Zbl 0781.62166
Summary: The idea of experience rating originated early in this century and has now become one of the basic principles of both actuarial practice and insurance mathematics. Probabilistic modelling of experience rating developed slowly and was subject to several changes. The present paper focuses on some selected aspects of model building in the past and in current research: The main steps in the development up to 1970, the genesis of the classical model around 1970, and variants of the classical model with regard to effects of perturbations of certain model assumptions.

MSC:
62P05 Applications of statistics to actuarial sciences and financial mathematics
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