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带连续变利率风险模型最终破产概率上界∗

王芝皓 吴黎军

经济数学Issue(1):95-98,4.
经济数学Issue(1):95-98,4.

带连续变利率风险模型最终破产概率上界∗

Upper Bounds for Ultimate Ruin Probabilities in the Risk Model with Continuous Increasing Variable Interest

王芝皓 1吴黎军2

作者信息

  • 1. 新疆财经大学 统计与信息学院,新疆 乌鲁木齐 830012
  • 2. 新疆大学 数学与系统科学学院,新疆 乌鲁木齐 830046
  • 折叠

摘要

Abstract

We consider the Sparre Andersen Model modified by the inclusion of a binary continuous variable interest force.The properties and presentation of accumulated surplus process are studied,the upper bounds for the ultimate ruin prob-abilities are derived by recursive techniques and adjustment coefficient equation system in increasing interest environment.The conclusion we derived is also a generalization of Lundberg-type upper bounds.

关键词

二元变利息力/Sparre Andersen 模型/最终破产概率/调节系数方程组/Lundberg 上界

Key words

binary variable interest force/Sparre Andersen Model/ultimate ruin probabilities/adjustment coefficient e-quation system/Lundberg-type upper bound

分类

数理科学

引用本文复制引用

王芝皓,吴黎军..带连续变利率风险模型最终破产概率上界∗[J].经济数学,2015,(1):95-98,4.

基金项目

国家自然科学基金资助项目(11361058) (11361058)

经济数学

1007-1660

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