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带有相依索赔及常利率风险模型的期望贴现罚金函数

郑祉怡

高师理科学刊Issue(8):22-25,4.
高师理科学刊Issue(8):22-25,4.DOI:10.3969/j.issn.1007-9831.2015.08.006

带有相依索赔及常利率风险模型的期望贴现罚金函数

The expected discounted penalty function for the risk model with dependent claims and constant interest force

郑祉怡1

作者信息

  • 1. 辽宁师范大学数学学院,辽宁大连 116029
  • 折叠

摘要

Abstract

Researched on the compound Poisson risk model with dependent claims and constant interest force,in which it assumes that the claim amount and inter-claim time of insurance company are no longer independence and the next claim size is influenced by the last inter-claim time.For such a model,first get a integral-differential equation for the Gerber-Shiu expected discounted penalty function,at the same time,also achieved a Volterra equation for the expected discounted penalty function.

关键词

常利率风险模型/相依结构/Volterra方程/积分-微分方程

Key words

risk model with constant interest force/dependence structure/Volterra equation/integral-differential equation

分类

管理科学

引用本文复制引用

郑祉怡..带有相依索赔及常利率风险模型的期望贴现罚金函数[J].高师理科学刊,2015,(8):22-25,4.

高师理科学刊

1007-9831

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