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含有正、负风险和风险过程的破产概率 被引量:4

Ruin Probability for a Risk Process with Positive and Negative Risk Sums
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摘要 本文考虑含正风险和与负风险和风险过程的破产问题,给出该风险过程的破产概率所满足的积分-微分方程和指数不等式,研究正风险和类与负风险和类之间的相关性对破产概率的影响,并对具体实例给出数值比较结果. In this paper, we consider a risk process with positive and negative risk sums. We derive the integral-differential equation for the ruin probability. We obtain the exponential inequality for the ruin probability. We study how the dependence between the two classes of insurance business impacts on the ruin probability. Finally we give two examples to show the numerical results.
机构地区 苏州大学数学系
出处 《应用概率统计》 CSCD 北大核心 2007年第3期303-309,共7页 Chinese Journal of Applied Probability and Statistics
基金 国家自然科学基金(No.10571132).
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参考文献9

  • 1Grandell,J.,Aspects of Risk Theory,Springer-Verlag,New York,1991.
  • 2Cossette,H.and Marceau,E.,The discrete-time risk model with correlated classes of business,Insurance:Mathematics and Economics,26(2000),133-149.
  • 3Philip Protter,Stochastic integration and differential equations,Springer-Verlag,New York,1990.
  • 4Ambagaspitiya,R.S.,On the distribution of a sum of correlated aggregate claims,Insurance:Mathematics and Economics,23(1998),15-19.
  • 5Ambagaspitiya,R.S.,On the distribution of two classes of correlated aggregate claims,Insurance:Mathematics and Economics,24(1999),301-308.
  • 6Ambagaspitiya,R.S.,Aggregate survival probability of a portfolio with dependent subportfolios,Insurance:Mathematics and Economics,32(2003),431-443.
  • 7Yuen,K.C.,Guo,J.Y.,Wu X.Y.,On a correlated aggregate claims model with Poisson and Erlangrisk processes,Insurance:Mathematics and Economics,31(2002),205-214.
  • 8Wang,G.,Wu,R.,Some distributions for classical risk process that is perturbed by diffusion,Insurance:Mathematics and Economics,26(2000),15-24.
  • 9董迎辉,王过京.相关负风险和模型的破产概率[J].应用概率统计,2004,20(3):301-306. 被引量:21

二级参考文献4

  • 1[1]Ambagaspitiya. R.S.. On the distribution of two classes of correlated aggregate claims, Insurace: Mathematics and Economics, 23(1998). 15-19.
  • 2[2]Ambagaspitiya, R.S.. On the distribution of two classes of correlated aggregate claims, Insurace: Mathematics and Economic.s. 24(1999), 302-308.
  • 3[3]Yuen, K.C., Guo, J.Y., Ruin probabilities for time-correlated claims in the compound binominal model, Insurace:Mathematics and Economics, 29(2001), 47-57.
  • 4[4]Grandell, .J., Aspects of Risk Theory, Spinger. Verlag, New York, 1991.

共引文献20

同被引文献16

  • 1董迎辉,王过京.相关负风险和模型的破产概率[J].应用概率统计,2004,20(3):301-306. 被引量:21
  • 2王云杰,王过京.带干扰负风险和模型的破产概率[J].高校应用数学学报(A辑),2004,19(4):431-435. 被引量:7
  • 3黎锁平,杨海波.费用结构一般化的“跳-停”奇异型随机控制[J].工程数学学报,2005,22(4):673-678. 被引量:10
  • 4Ambagaspitiya R S. On the distribution of a sum of correlated aggregate claim[ J]. Insurance: Mathematics and Economics,1998,23:15 -19.
  • 5Cossette H , Marceall E. The discrete -time risk model with correlated classes of business[ J]. Insurance: Mathematics and Economics, 2000,26 : 133 - 149.
  • 6Yuen K,C Guo J Y,Wu X Y. On a correlated aggregate claims model with Poisson and Erlang risk processes[J]. Insurance: Mathematics and Economics,2002,31:205 -214.
  • 7Grandell J. Aspects of Risk Theory [ M ]. New York:Springer- Verlag, 1991.
  • 8GERBERHU.数学风险理论导引[M].成世学,译.北京:世界图书出版公司,1997.
  • 9WU Xueyuan,YUEN K C. A discrete-time risk model with interaction between classes of business [J]. Mathematics and Economics, 2003,33:117-133.
  • 10GRANDELL J. Aspect of risk theory [M]. New York: Springer-Vedag, 1991.

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