Collective model
Insurance Mathematics

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AF1529 V1 Article

Collective model


Insurance Mathematics

Author : Christian HESS

Publication date: May 10, 2022 | Lire en français

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4. Collective model

Given a portfolio of risks, the insurer seeks to evaluate and forecast the cumulative amount of claims likely to be generated by this portfolio over a future period, generally the following year. This assessment is based on a model representing this amount, which may be individual or collective. In the individual model, we consider a group of k risks and note X i the amount of claims for risk i (i = 1, ..., k). The total amount of claims for this group is X=X1++Xk , from which we deduce the pure premium

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