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具有相依利息率的离散时间保险风险模型的破产问题 被引量:17

Ruin problems for the discrete time insurance risk model with dependent rates
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摘要 进一步研究离散时间保险风险模型,在利率具有一阶自回归结构的情况下,得到了描述破产严重程度的破产前一时刻的盈余分布与破产持续时间的分布的递推公式. The paper discusses ruin problems deeply under the discrete time insurance risk model in which the rates of interest are assumed to have a dependent autoregressive structure. Recursive formulas for the distribution of the surplus immediately before ruin and for the distribution of the time in the red which describe the severity of ruin are derived.
作者 孔繁超 于莉
出处 《高校应用数学学报(A辑)》 CSCD 北大核心 2005年第3期320-326,共7页 Applied Mathematics A Journal of Chinese Universities(Ser.A)
关键词 离散时间保险风险模型 一阶自回归 破产前一时刻的盈余分布 产持续时间的分布 discrete time insurance risk model autoregressive structure distribution of the surplus immediately before ruin distribution of the time in the red which describe the severity of ruin
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参考文献4

  • 1Bowers N L,Gerber H U,Hickman J C,et al.Actuarial Mathematics[M].Society of Actuaries,Itasca,Illinois,1986.
  • 2Yang H.Non-exponential bounds for ruin probability with interest effect included[J].Scandinavian Actuarial Journal,1999,1:66-79.
  • 3Cai J.Ruin probabilities with dependent rates of interest[J].J Appl Probab,2002,39:312-323.
  • 4孙立娟,顾岚.离散时间保险风险模型的破产问题[J].应用概率统计,2002,18(3):293-299. 被引量:43

二级参考文献4

  • 1[1]N.L. Bowers, H.U. Gerber, J.C. Hickman, D.A. Jones, C.J. Nesbitt, Actuarial Mathematics, Society of Actuaries,Itasca, IL., 1986.
  • 2[2]F. De Vyldrer and M.J. Goovaerts, Recursive calculation of finite time ruin probabilities, Insurance: Math. and Econom.,7(1988),1-7.
  • 3[3]H.Yang, Non-exponential bounds for ruin probability with interest Effect included, Scandinavian Actuarial Journal,1(1998),66-79.
  • 4[4]T.Rolski, H. Schmidli, V. Schmidt and J. Teugels, Stochastic Processes for Insurance and Finance, Wiley and Sons,New York,1999.

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