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离散时间保险风险模型的破产问题 被引量:43

Ruin Problems for the Discrete Time Insurance Risk Model
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摘要 本文研究了引入利率的离散时间保险风险模型,得到了描述破产严重程度的破产前盈余分布、破产持续时间分布的递推公式,并对具体实例给出数值计算结果. In this paper we discuss ruin problems under the discrete time insurance risk model with interest. We derive the expressions of the distribution of the surplus immediately before ruin and the distribution of the time in the red which describe the severity of ruin. Recursive formulas has been obtained and the numerical results for a concrete example are also given.
作者 孙立娟 顾岚
出处 《应用概率统计》 CSCD 北大核心 2002年第3期293-299,共7页 Chinese Journal of Applied Probability and Statistics
基金 国家自然科学基金资助课题(19971095)
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  • 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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