Individual Risk Model. COLLECTIVE RISK MODEL It is the collection of all the claims from the risk A particular policy here can give rise to multiple claims It is widely used in general insurance.

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Chapter 4 Collective Risk Model Chapter 4 Collective Risk Model Mathematical models of the total amount of claims from a portfolio of policies over a short period of time will be presented in this chapter The models are referred to as short term risk models Two main sources of uncertainty including the claim numbers and claim sizes will be.

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Using a modelbased approach we estimated the probability that an individual with a specified combination of risk factors would develop lung cancer within a 5year period Data from 579 lung.

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PDF fileIndividual risk modelApproximation by CLT Approximating the individual risk model For large n according to the Central Limit Theorem Scan be approximated with a Normal distribution Use the results on slides p 5 to compute the mean and the variance of the aggregate loss Sin the individual risk model.

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For the collective risk model the expected value of aggregate claims is the product of the expected individual claim amount and the expected number of claims (1825) while the variance of aggregate claims is the sum of two components where the first is attributed to the variability of individual claim amounts and the other to the variability of the number of claims.