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Mixed poisson processes and the probability of ruin
Authors:Hilary L. Seal  Hans U. Gerber
Affiliation:Department of Mathematics, Ecole Polytechnique Fédérale de Lausanne, 1015 Lausanne, Switzerland;Ecole des Hautes Etudes Commerciales, Université de Lausanne, 1015 Lausanne, Switzerland
Abstract:In the Poisson case there is a well known formula that relates the probability of ruin to the distribution function of aggregate claims. It is shown how this formula can be generalized to the mixed Poisson case.
Keywords:Mixed Poisson process  Ruin probability
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