Risk-switching insolvency models
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Keywords
This paper concerns the Sparre Andersen model with a risk-switching mechanism which enables effective modelling of an insurer’s claims. The distributions of the claims’ amounts and/or respective waiting times are driven by a Markov chain and the insurer can fit the premium rate in response. The risk-switching methodology generalizes some well-known approaches in the ruin theory; which enables us to treat numerous discrete- and continuous-time models simultaneously and in a unified way. An upper bound for ruin probabilities in a risk-switching setting is also investigated.;Statistics
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