Risk Theory pp 183-195 | Cite as

The Markov Modulated Risk Model

  • Hanspeter Schmidli
Part of the Springer Actuarial book series (SPACT)


An alternative generalisation of the classical risk model is to change the parameters of the model for an exponentially distributed time period. The environment is generated by a Markov chain in continuous time. In this way, any risk process may be approximated. It turns out that the asymptotic results on ruin probabilities obtained for the Cramér-Lundberg model can be generalised to this general model, both for small and large claim sizes.

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© Springer International Publishing AG, part of Springer Nature 2017

Authors and Affiliations

  1. 1.Institute of MathematicsUniversity of CologneCologneGermany

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