Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5129735 | Statistics & Probability Letters | 2017 | 5 Pages |
Abstract
In this paper, we investigate a risk-switching Sparre Andersen model which generalizes several discrete time- as well as continuous time risk models. A Markov chain is used as a 'switch' under the assumption that jumps change the amount and/or respective wait time distributions of claims while the insurer can adapt the premiums in response. A generalized Gerber-type inequality for the vector of ruin probabilities is proven showing that the risk-switching models allow sophisticated mathematical results in spite of their complexity.
Keywords
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Physical Sciences and Engineering
Mathematics
Statistics and Probability
Authors
LesÅaw Gajek, Marcin Rudź,