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相依风险模型的破产概率 被引量:1

ON THE RUIN PROBABILITY FOR THE DEPENDENT RISK MODEL
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摘要 本文研究了索赔额和索赔时间间隔相依的风险模型,得到了生存概率的表达式和最终破产概率表达式,并通过生存概率满足的积分微分方程求出了最终破产概率的Laplace-Stieltjes变换. In this paper, we consider a risk model where the claim size and the time between two claims are independent. An explicit expression for survival probability and ultimate ruin probability is obtained. And the Lapiace-Stieltjes transform for the ultimate ruin probability is derived by the integro-differential equation satisfied by the survival probability.
出处 《数学杂志》 CSCD 北大核心 2009年第4期573-576,共4页 Journal of Mathematics
关键词 相依 破产概率 LAPLACE-STIELTJES变换 dependent ruin probability Laplace-Stieltjes transform
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参考文献4

  • 1Grandell J. Aspects of Risk Theory[M]. Springer-Verlag, 1991.
  • 2Yuen, K. C. , Guo Junyi. On a correlated aggregate claims model with Poisson and Erlang risk processes. Insurance: Mathematics and Economics, 2002, 31, 205-214.
  • 3Albrecher, H. , Boxma, O. A ruin model with dependence between claim sizes and claim intervals [J]. Insurance: Mathematics and Economics, 2004, 35, 245-254.
  • 4Meng Qingbin,, Zhang Xin, Guo Junyi. On a risk model with dependence between claim sizes and claim intervals[J]. Statistics and Probability Letters, 2008, 78, 1727-1734.

同被引文献2

  • 1何声武,谢盛荣,程依民.随机过程[M].北京:中国统计出版社,1997:34-50.
  • 2Shaked M, Shanthikumar J G. Stochastic orders and their applications [M]. New York: Academic Press, 1994.

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