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On the ruin problem in a Markov-modulated risk model. (English) Zbl 1153.91608
Summary: In this paper, we consider the compound Poisson risk model influenced by an external Markovian environment process, i.e. Markov-modulated compound Poisson model. The explicit Laplace transforms of Gerber-Shiu functions are obtained, while the explicit Gerber-Shiu functions are derived for the ${K}_{n}$-family claim size distributions in the two-states case.
##### MSC:
 91B30 Risk theory, insurance
##### References:
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