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导致破产的索赔量的矩

Moment of the Amount of the Claim Causing Ruin
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摘要 求出了古典风险模型中导致破产的索赔量的k阶矩,给出了破产发生时导致破产的索赔量的k阶矩与索赔量的k阶矩的关系,同时求出了它的上下界. The higher moment of the amount of the claim causing ruin in the classical risk model is gained. The relationships of it and the higher moment of individual claim sizes are also discussed if ruin takes place in the classical risk model. The bounds of higher moment of the amount of the claim causing ruin in the classical risk model are also obtained.
作者 蔡南莲
机构地区 集美大学理学院
出处 《集美大学学报(自然科学版)》 CAS 2009年第1期74-77,共4页 Journal of Jimei University:Natural Science
基金 福建省自然科学基金资助项目(Z0511040)
关键词 导致破产的索赔量 高阶矩 k阶平衡分布 the amount of the claim causing ruin higher moment equilibrium distribution
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参考文献4

  • 1鲍尔斯.风险理论[M].上海:上海科学技术出版社,1995.
  • 2LIN X, WILLMOT G E. Analysis of a defective renewal equation arising in ruin theory [ J ]. Insurance: Mathematics and Economics, 1999, 25 : 63-84:
  • 3DUFRESNE F, GERBER H. The surpluses immediately before and at ruin, and the amount of the claim causing ruin [ J ]. Insurance : Mathematics and Economics, 1988, 7 : 195-199.
  • 4WILLMOT G E. On high-order properties of compound geometric distributions [J]. J Appl Prob, 2002, 39: 324-340.

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