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更新模型中的Schmitter问题(英文) 被引量:2

The Bi-atomic Uniform Solution of Schmitter's Problem in Renewal Models
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摘要 Schmitter问题是指在期望和方差固定的条件下,求出使得破产概率最大(小)的索赔分布.F.De Vylder讨论了古典风险模型的情况.本文讨论了更新风险模型的情况,推广了其结果. The problem posed by Schmitter was to maximize the ruin probability when mean and variance of the claim size distribution axe given. The case in classical risk model are discussed by F. De Vylder in 1997. In this paper, we discuss the case in renewal risk model.
作者 杜勇宏 吴荣
出处 《应用概率统计》 CSCD 北大核心 2003年第1期40-48,共9页 Chinese Journal of Applied Probability and Statistics
基金 This work is supported by the National Science Foundation of China (19971047).
关键词 Schmitter问题 更新模型 LUNDBERG指数 双原子分布摘要 破产概率 风险模型 Schmitter's problem, Renewal model, Lundberg exponent, Bi-atomic uniform.
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参考文献4

  • 1[1]F. De Vylder, M. Goovaerts, E. Marceau, The bi-atomic uniform minimal solution of Schmitter's problem, Insurance: Mathematics and Economics, 20(1997), 59-78.
  • 2[2]Feller, W., An Introduction to Probability Theory and Its applications, Vol. 2, Wiley, New York, 1966.
  • 3[3]Jan Grandell, Aspects of Risk Theory, Springer-Verlag, 1991.
  • 4[4]Thorin, O., Stationarity aspects of the Sparre Andersen risk process and the corresponding ruin probabilities, Scand.Actuarial J., (1975), 87-98.

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