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Ruin Probabilities for Large Claims in Delayed Renewal Risk Model
Authors:Qihe Tang  Chun Su
Institution:(1) Department of Statistics and Finance, University of Science and Technology of China, Hefei, 230026, Anhui, P.R. China
Abstract:This paper investigates ruin probabilities psgr(x) in the delayed renewal risk model, where x is the initial capital of an insurance company. Under the assumption that the claim size is heavy-tailed, we aim at a tail equivalence relationship of psgr(x) as x rAarr infin. The result we obtain in this paper is surprisingly the same as the previous classical results.This work was supported by National Science Foundation of China (No. 10071081).
Keywords:Delayed renewal process  Equilibrium distribution  Heavy-tailed distribution  Ruin probabilities  Risk model
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