Direct Derivation of Finite-Time Ruin Probabilities in the Discrete Risk Model with Exponential or Geometric Claims
Wai-Sum Chan and
Lianzeng Zhang
North American Actuarial Journal, 2006, vol. 10, issue 4, 269-279
Abstract:
Growing research interest has been shown in finite-time ruin probabilities for discrete risk processes, even though the literature is not as extensive as for continuous-time models. The general approach is through the so-called Gerber-Shiu discounted penalty function, obtained for large families of claim severities and discrete risk models. This paper proposes another approach to deriving recursive and explicit formulas for finite-time ruin probabilities with exponential or geometric claim severities. The proposed method, as compared to the general Gerber-Shiu approach, is able to provide simpler derivation and straightforward expressions for these two special families of claims.
Date: 2006
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Persistent link: https://EconPapers.repec.org/RePEc:taf:uaajxx:v:10:y:2006:i:4:p:269-279
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DOI: 10.1080/10920277.2006.10597426
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