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再保险与有限时间破产概率 被引量:8

Reinsurances and the finite time ruin probability
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摘要 研究保险公司用超额索赔再保险最小化其有限时间破产概率的问题,用鞅方法得到有限时间破产概率的上界以及保险公司的最优再保险自留额. A problem for minimizing the finite time ruin probability by excess ot loss reinsurance in some insurance companies is considered. The upper bound of the finite time ruin probability and the optimal retention of these insurance companies are given in terms of the martingale method.
出处 《高校应用数学学报(A辑)》 CSCD 北大核心 2007年第4期411-415,共5页 Applied Mathematics A Journal of Chinese Universities(Ser.A)
基金 国家自然科学基金(10471015)
关键词 最优再保险 破产概率 WIENER过程 optimal reinsurance ruin probability martingale Wiener process MR
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参考文献6

  • 1Gerber H U.An Introduction to Mathematical Risk Theory[M]. Irwin Homewood, S S Huebner Foundation Monograph Series No.8,1979.
  • 2Centeno L.Measuring the effects of reinsurance by the adjustment coefficient[J].Insurance Mathematics and Economics, 1998,5:169-182.
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  • 4Centeno L. Excess of loss reinsurance and the probability of ruin in finite horizon[J].Astin Bulletin,1997,27:59-70.
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