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Ruin Probabilities and Aggregrate Claims Distributions for Shot Noise Cox Processes

Publikation: Working paperForskning


  • Institut for Matematiske Fag
  • T.N. Thiele Centre

We consider a risk process Rt where the claim arrival process is a superposition of a homogeneous Poisson process and a Cox process with a Poisson shot noise intensity process, capturing the effect of sudden increases of the claim intensity due to external events. The distribution of the aggregate claim size is investigated under these assumptions. For both light-tailed and heavy-tailed claim size distributions, asymptotic estimates for infinite-time and finite-time ruin probabilities are derived. Moreover, we discuss an extension of the model to an adaptive premium rule that is dynamically adjusted according to past claims experience.

UdgiverThiele Centre, Institut for Matematiske Fag, Aarhus Universitet
Antal sider27
StatusUdgivet - 8 aug. 2005

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