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相关带干扰风险模型的破产概率 被引量:4

Ruin Probability for Correlated Risk Process that is Perturbed by Diffusion
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摘要 本文引进了含相关类带干扰经典风险过程,研究类之间的相关性对破产概率的影响,主要研究类之间的相关性对其Lundberg指数的大小关系的影响. In this paper,we introduce a correlated risk process that is perturbed by diffusion with common shock.We study how the dependence between the classes impacts on the ruin probability.We do this mainly by comparing the influences of the dependence on the sizes of the Lundberg exponents of the risk processes.
出处 《应用概率统计》 CSCD 北大核心 2008年第6期585-592,共8页 Chinese Journal of Applied Probability and Statistics
基金 国家自然科学基金(10571132)资助项目
关键词 破产概率 LUNDBERG指数 布朗运动 Ruin probability,Lundberg exponent,Brownian motion
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参考文献6

  • 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
  • 2Dufresne F,Gerber HU.Risk theory for the compound Poisson process that is perturbed by diffusion. Insurance, Mathematics and Economics . 1991 被引量:1
  • 3Guojing Wang,Rong Wu.Some distributions for classical risk process that is perturbed by diffusion. Insurance, Mathematics and Economics . 2000 被引量:1
  • 4Ambagaspitiya R. S.On the distribution of two classes of correlated aggregate claims. Insurance: Mathematics and Economics . 1999 被引量:1
  • 5Cossette H,Marceau E.The discrete-time risk model with correlated classes of business. Insurance: Mathematics and Economics . 2000 被引量:1
  • 6Furrer H J,Schmidli H.Exponential inequalities for ruin probabilities of risk process perturbed by diffusion. Insurance: Mathematics and Economics . 1994 被引量:1

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. 被引量:1
  • 2[2]Ambagaspitiya, R.S.. On the distribution of two classes of correlated aggregate claims, Insurace: Mathematics and Economic.s. 24(1999), 302-308. 被引量:1
  • 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. 被引量:1
  • 4[4]Grandell, .J., Aspects of Risk Theory, Spinger. Verlag, New York, 1991. 被引量:1

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同被引文献30

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二级引证文献5

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