A generalization of the collective theory of risk in regard to fluctuating basic-probabilities

Abstract

Generally in the theory of risk one starts from the two fundamental assumptions that the basic-probabilities are constant and that the deviations occurring may be interpreted as random fluctuations. Thus, the theory of risk appears as an application of the ordinary probability-theory, which starts from the binomial distribution and leads to the distributions of Poisson and Gauss.

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