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Ruin probabilities in the compound binomial model. (English) Zbl 0778.62099
Summary: Explicit formulas are derived for finite time ruin probabilities in the discrete time and state-space compound binomial model using the technique of generating functions. Ultimate ruin probabilities are then obtained, and a close connection is established with the ultimate ruin probabilities in the usual compound Poisson model when the claim severity distribution is a (truncated) mixed Poisson distribution.

MSC:
62P05 Applications of statistics to actuarial sciences and financial mathematics
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