Ulepszenie aproksymacji indywidualnego modelu ryzyka przez kolektywny model ryzyka
Improving the approximation of individual risk model by the compound risk model

Summary/Abstract: In the individual risk model the aggregate claims distribution can be calculated by using the compound distribution. In this article two approximations will be described: the compound Poisson approximation and the compound negative binomial approximation. Using this method of calculated aggregate claims distribution, errors of approximation are made. To reduce these errors the higher order approximations can be used, which are taken from [Pits]. In this article the numerical examples, including the refinement of the compound approximation, are considered for homogeneous portfolio and for inhomogeneous portfolios with two classes.

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