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Exponential Bounds for Ruin Probability in Two Moving Average Risk Models with Constant Interest Rate 被引量:3

Exponential Bounds for Ruin Probability in Two Moving Average Risk Models with Constant Interest Rate
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摘要 The authors consider two discrete-time insurance risk models. Two moving average risk models are introduced to model the surplus process, and the probabilities of ruin are examined in models with a constant interest force. Exponential bounds for ruin probabilities of an infinite time horizon are derived by the martingale method. The authors consider two discrete-time insurance risk models. Two moving average risk models are introduced to model the surplus process, and the probabilities of ruin are examined in models with a constant interest force. Exponential bounds for ruin probabilities of an infinite time horizon are derived by the martingale method.
出处 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2008年第2期319-328,共10页 数学学报(英文版)
基金 a grant from National Natural Science Foundation of China,Grant No.10671072 Doctoral Program Foundation of the Ministry of Education of China,Grant No.20060269016 "Shu Guang"project of Shanghai Municipal Education Commission and Shanghai Education Development Foundation,Grant No.04SG27 the National Basic Research Program of China (973 Program),Grant No.2007CB814904
关键词 ruin probability moving average model rate of interest exponential bound MARTINGALE ruin probability, moving average model, rate of interest, exponential bound, martingale
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参考文献10

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同被引文献9

  • 1刘燕,唐应辉.马尔可夫链利率风险模型中破产赤字的分布函数及其界值[J].系统工程,2006,24(11):102-105. 被引量:3
  • 2Cai J, Dickson D C M. Upper Bounds for Ultimate Ruin Probabilities in the Sparre Andersen Model with Interest [ J ]. Insurance : Mathematics and Economics,2003,32:61 -71.
  • 3Centeno M L. Measuring the effect of reinsurance by the adjustment coefficient in the Sparre Andersen model [ J ]. Insurance: Mathematics and Economics, 2002, 30:37 -49.
  • 4Gerber H U. An Introduction to Mathematical Risk Theo- ry[ Z ]. S. S. Heubner Foundation Monograph Series 8, Philadelphia, 1979.
  • 5Rob K, Marc G, Jan D, Michel D. Modem Actuarial Risk Theory [ M ]. NewYork :Kluwer Academic Publisher,2002.
  • 6Pancheva E, Volkovich Z, Morozensky L. Upper and Low- er Bounds for Ruin Probability[ J. Pliska Stud Math Bul- gar,2007,45 : 148 - 150.
  • 7Yang H L. Non-exponential Bounds for Ruin Probability with Inerest Effect Included. Scandinavian Actuarial Jour- nal,1999(6) :66 -79.
  • 8刘东海,刘再明.利率相依的离散时间保险风险模型的破产问题[J].经济数学,2008,25(2):126-131. 被引量:9
  • 9曲中宪,徐中海,武文华.随机投保费下多险种破产模型的研究[J].东北师大学报(自然科学版),2010,42(1):18-21. 被引量:9

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