吉首大学学报(自然科学版)

• 数学 • 上一篇    下一篇

不确定风险模型的不确定生存率

李梁娟,李智明,吴黎军   

  1. (新疆大学数学与系统科学学院,新疆维吾尔自治区 乌鲁木齐 830046)
  • 出版日期:2017-09-25 发布日期:2017-11-02

Uncertain Survival  Index of Uncertain Insurance Risk Model

LI Liangjuan,LI Zhiming,WU Lijun   

  1. (College of Mathematics and Systems Science,Xinjiang University,Urumqi 830046,China)
  • Online:2017-09-25 Published:2017-11-02
  • About author:LI Liangjuan (1990—),female,was born in Jiaozuo City,Henan Province,master of Xinjiang University;research area is non-life insurance actuarial mathematics
  • Supported by:

    National Natural Science Foundation of China (11361058)

摘要:

基于不确定理论的极值定理中最大值的不确定分布,以及风险模型中最大损失的定义及其独立增量性质,定义并证明了不确定风险模型的不确定生存函数,并给出2个基本性质.利用不确定生存函数和不确定更新过程的分布函数的定义,证明了保费和索赔均带折现率的不确定离散风险模型的不确定生存函数.

关键词: 不确定变量, 不确定生存函数, 折现率, 不确定离散模型

Abstract:

This paper defines the uncertain survival function base on  the maximum loss of insurance company and extreme value theorem of uncertainty theory.Two properties of the uncertain survival function are given.The uncertain survival fuction is proved for the uncertain discrete risk model in which the premium and claim have discount.

Key words: uncertain variable, uncertain survival function, discount rate, uncertain discrete time risk model

公众号 电子书橱 超星期刊 手机浏览 在线QQ