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一类随机保费率下的风险模型 被引量:13

Risk Model with Random Premium Rate
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摘要 引入随机变量保费率,对古典风险模型进行推广,主要研究随机保费率下的风险模型,用随机过程和鞅论的方法得出破产概率、末离前最大盈余分布、破产前瞬时盈余与破产赤字的联合分布等精算量分布的具体表达式. In this paper, risk model is improved with random rate. Then the formula for the ruin probability and actuaria 1 diagnostics in this new model through stochastic method are conclude.
出处 《应用数学与计算数学学报》 2007年第1期27-33,共7页 Communication on Applied Mathematics and Computation
基金 全国统计科学研究项目(2006C39).
关键词 风险模型 破产概率 最大盈余 破产前瞬间盈余 破产时赤字 risk model, ruin probability, the extreme surplus, surplus immediately before ruin, deficit of ruin
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参考文献7

  • 1Rolski T., Schmidli H., Schmidt V. and Teugels J. Stochastic Processes for Insurance and Finance [M]. Wiley and Sons, New York, 1999. 被引量:1
  • 2Gerber H.U.数学风险论导引[M].(成世学,严颖译).北京:世界图书出版公司,1997. 被引量:1
  • 3David C.M.Dickson. On the distribution of the surplus prior to ruin [J]. Mathematics and Economics, 1992, 11: 191-207. 被引量:1
  • 4David C.M.Dickson. On the distribution of the claim causing ruin [J]. Mathematics and Economics, 1993, 12: 143-154. 被引量:1
  • 5Li Wei, Wu Rong. The joint distributions of several important actuarial diagnostic in the classical risk model [J]. Mathematics and Economic, 2002, 768: 1-12. 被引量:1
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  • 7吴荣,张春生,王过京.关于古典风险模型的一个联合分布[J].应用数学学报,2002,25(3):554-560. 被引量:10

二级参考文献6

  • 1[1]Grandell J. Aspects of Risk Theory. New York: Springer-Verlag, 1991 被引量:1
  • 2[2]Dickson D M. On the Distribution of the Surplus Prior to Ruin. Insurance: Mathematics and Economics, 1992, 11:191-207 被引量:1
  • 3[3]Gerber H U, Shiu E S W. The Jont Distribution of the Time of Ruin, the Surplus Immediately before Ruin, and the Deficit at Ruin. Insurance: Mathematics and Economics, 1997, 21:129-137 被引量:1
  • 4[4]Zhang C S, Wu R. On the Distribution of the Surplus of the D-E Model Prior to and at Ruin. Insurance: Mathematics and Economics, 1999, 24:309-321 被引量:1
  • 5[5]Wang G J, Wu R. Some Distribution for Classical Risk Process that is Perturbed by Diffusion. Insurance: Mathematics and Economics, 2000, 26:15-24 被引量:1
  • 6[6]Freg A, Schnult, V. Talor-series Expansion for Multivaviate Characteristics of Classical Rislk Theory. Insurance: Mathematics and Economics, 1996, 18:1-12 被引量:1

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