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平衡更新风险过程破产时刻的矩

徐怀

数学杂志2013,Vol.33Issue(2):213-220,8.
数学杂志2013,Vol.33Issue(2):213-220,8.

平衡更新风险过程破产时刻的矩

MOMENTS OF THE TIME TO RUIN IN THE STATIONARY RENEWAL RISK PROCESS

徐怀1

作者信息

  • 1. 安徽大学数学科学学院,安徽合肥230039
  • 折叠

摘要

Abstract

In this paper,we consider moments of the time to ruin in the stationary renewal risk process.Under assumptions on the time and the amount of the first claim,we obtain an explicit expressions for the first and the second order moments of the time to ruin in the stationary renewal risk process by the law of total probability.Finally,we give a numerical example to illustrate the application of the results.

关键词

破产时刻/平衡更新风险过程/普通更新风险过程/拉普拉斯变换

Key words

time to ruin/ stationary renewal risk process/ ordinary renewal risk process/Laplace transform

分类

数理科学

引用本文复制引用

徐怀..平衡更新风险过程破产时刻的矩[J].数学杂志,2013,33(2):213-220,8.

基金项目

Supported by Tianyuan National Natural Science Foundation of China (11226207). (11226207)

数学杂志

OA北大核心CSCDCSTPCD

0255-7797

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