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带布朗扰动风险模型的有限时破产概率渐近性

毛砚竹 王开永

华中师范大学学报(自然科学版)2019,Vol.55Issue(4):487-490,4.
华中师范大学学报(自然科学版)2019,Vol.55Issue(4):487-490,4.DOI:10.19603/j.cnki.1000-1190.2019.04.005

带布朗扰动风险模型的有限时破产概率渐近性

Asymptotics of the finite-time ruin probability of a risk model with Brownian perturbation

毛砚竹 1王开永1

作者信息

  • 1. 苏州科技大学数理学院,江苏苏州215009
  • 折叠

摘要

Abstract

In this paper,a general risk model with constant force of interest and Brownian perturbation is considered.It does not need independent or dependent assumption on the inter-arrival times in this risk model.When the claim sizes are WUOD and have heavy-tailed distributions,the asymptotics of the finite-time ruin probability have been obtained,which shows that the Brownian perturbation has no effect on the asymptotics of the finite-time ruin probability.

关键词

渐近性/布朗扰动/有限时破产概率/一般风险模型/相依结构

Key words

asymptotics/Brownian perturbation/finite-time ruin probability/general risk model/dependence structure

分类

数理科学

引用本文复制引用

毛砚竹,王开永..带布朗扰动风险模型的有限时破产概率渐近性[J].华中师范大学学报(自然科学版),2019,55(4):487-490,4.

基金项目

国家自然科学基金项目(11401418) (11401418)

苏州科技大学研究生科研创新计划项目(KYCX18_2547). (KYCX18_2547)

华中师范大学学报(自然科学版)

OA北大核心CSCDCSTPCD

1000-1190

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