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带干扰的马氏环境下的破产概率

高珊 王绍峰 曹晓敏

曲阜师范大学学报(自然科学版)2005,Vol.31Issue(3):13-18,6.
曲阜师范大学学报(自然科学版)2005,Vol.31Issue(3):13-18,6.

带干扰的马氏环境下的破产概率

Ruin Probability for the Risk Process Perturbed by Diffusion in a Markovian Environment

高珊 1王绍峰 2曹晓敏3

作者信息

  • 1. 阜阳师范学院数学系,236032,安徽省阜阳市
  • 2. 济宁师范专科学校数学系,272025,济宁市
  • 3. 中国石油大学数学与计算机科学学院,257063,山东省东营市
  • 折叠

摘要

Abstract

The authors mainly discuss the ruin probability for the risk process perturbed by diffusion in a Markovian environment. In the considered risk model, the number of the claim in the time interval (0,t] is described by a point process {Nt, t≥0}, and {Nt, t≥0} is a Cox process. And we compare the ruin probability in the classical risk model perturbed by diffusion and the ruin probability discussed in this paper. In the end the asymptotic property of the ruin probability is obtained.

关键词

风险过程/破产概率/Cox过程/积分方程

Key words

risk process/ruin probability/Cox process/integral equation

分类

数理科学

引用本文复制引用

高珊,王绍峰,曹晓敏..带干扰的马氏环境下的破产概率[J].曲阜师范大学学报(自然科学版),2005,31(3):13-18,6.

基金项目

Research supported by the Science Foundation of PRC (10471076). (10471076)

曲阜师范大学学报(自然科学版)

1001-5337

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