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一类相依索赔离散风险模型的有限时间破产概率估计

刘荣飞

应用数学2017,Vol.30Issue(2):284-290,7.
应用数学2017,Vol.30Issue(2):284-290,7.

一类相依索赔离散风险模型的有限时间破产概率估计

Asymptotic for the Finite-time Ruin Probability of a Discrete-time Risk Model with Dependent Insurance Risks

刘荣飞1

作者信息

  • 1. 江苏科技大学经济管理学院,江苏镇江212003;电子科技大学数学科学学院,四川成都611731
  • 折叠

摘要

Abstract

The finite-time ruin probability of a discrete-time risk model with dependent claims and heavy-tailed claim-innovations is investigated in this paper.The claims are assumed to follow a one-sided linear process with independent and identically distributed innovations.The risk-free and risky investments of an insurer lead to stochastic discount factors,which are independent of the claim-innovations.The premium rate is a constant.When the common distribution of the claim-innovations is heavy-tailed,we establish an asymptotic estimate for the finite-time ruin probability.

关键词

相依索赔/单边线性过程/离散时间风险模型/重尾索赔噪声项

Key words

Dependent insurance risk/One-sided linear process/Discrete-time risk model/Heavy-tailed claim-innovation

分类

数理科学

引用本文复制引用

刘荣飞..一类相依索赔离散风险模型的有限时间破产概率估计[J].应用数学,2017,30(2):284-290,7.

基金项目

国家自然科学基金(71501025),四川省科技厅应用基础计划项目(2016JY0257) (71501025)

应用数学

OA北大核心CSCDCSTPCD

1001-9847

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