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带干扰古典风险模型的一些分布

Some Distributions for the Classical Risk Process Perturbed by Brownian Motion
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摘要 该文主要讨论带干扰古典风险模型的破产瞬间余额和破产赤字的边际及联合分布.借助于修正阶梯高度的结果,得到了它们的表达式.当索赔服从指数分布时,给出它们的精确表达. In this paper,we consider the classical risk process perturbed by Brownian motion. Using the results of the modified ladder heights of this process,we obtain the marginal and joint distributions of the surplus prior to ruin and the deficit at ruin.The explicit solutions for them are derived when the claims are exponentially distributed.
作者 何敬民 吴荣
出处 《数学物理学报(A辑)》 CSCD 北大核心 2010年第3期818-827,共10页 Acta Mathematica Scientia
基金 国家自然科学基金(10926161 10901086 10871102) 国家重点基础研究发展计划(973计划)(2007CB814905) 国家博士点基金资助
关键词 破产概率 破产瞬间余额 破产赤字 修正阶梯高度 Ultimate ruin probability Surplus prior to ruin Deficit at ruin Modified ladder heights
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  • 2Guojing Wang,Rong Wu.Some distributions for classical risk process that is perturbed by diffusion. Insurance, Mathematics and Economics . 2000
  • 3Dufresne F,Gerber H U.The surpluses immediately before and at ruin, and the amount of the claim causing ruin. Insurance: Mathematics and Economics . 1988
  • 4Dufresne F,Gerber H U.Risk theory for the compound Poisson process that is perturbed by diffusion. Insurance: Mathematics and Economics . 1991
  • 5Schal,M.On Hitting Times for Jump-diffusion Processes with Past Dependent Local Characteristics. Stochastic Processes and Their Applications . 1993
  • 6Zhang Chunsheng,Wu Rong.On the Distribution of the Surplus the D-E Model Prior to and at Ruin. Mathematics and Ecnomics . 1999
  • 7张春生,吴荣.关于破产概率函数的可微性的注[J].应用概率统计,2001,17(3):267-275. 被引量:17

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