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Classical Risk Model with Threshold Dividend Strategy
Authors:Zhou Ming  Guo Junyi  
Affiliation:[1]CIAS, Central University of Finance and Economics, Beijing 100081, China [2]School of Mathematical Sciences and LPMC, Nankai University, Tianjin 300071, China
Abstract:In this article, a threshold dividend strategy is used for classical risk model.Under this dividend strategy, certain probability of ruin, which occurs in case of constant barrier strategy, is avoided. Using the strong Markov property of the surplus process and the distribution of the deficit in classical risk model, the survival probability for this model is derived, which is more direct than that in Asmussen(2000, P195, Proposition 1.10). The occupation time of non-dividend of this model is also discussed by means of Martingale method.
Keywords:Threshold dividend strategy  ruin  occupation time  piecewise deterministic Markov process
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