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常利率两险种的风险模型的破产概率
引用本文:杨善兵,司建东.常利率两险种的风险模型的破产概率[J].安徽大学学报(自然科学版),2006,30(1):7-10.
作者姓名:杨善兵  司建东
作者单位:盐城工学院,基础部,江苏,盐城,224003;盐城工学院,基础部,江苏,盐城,224003
摘    要:由于保险公司经营规模的扩大和保险业务经营受货币利率的影响,用原来的古典风险模型来描述风险经营的过程已存在局限性.我们构造了常利率下两险种的风险模型,利用后项微分法和Lap lace变换,给出了破产概率Ψδ(u)的积分方程和破产概率Lap lace变换表达式,以及Ψδ(0)的确切值.

关 键 词:破产概率  风险模型  利率强度
文章编号:1000-2162(2006)01-0007-04
收稿时间:2005-01-11
修稿时间:2005-01-11

Ruin probability of a two-insurance risk process in constant interest rate
YANG Shan-bing,SI Jian-dong.Ruin probability of a two-insurance risk process in constant interest rate[J].Journal of Anhui University(Natural Sciences),2006,30(1):7-10.
Authors:YANG Shan-bing  SI Jian-dong
Institution:Department of Foundamental Science Teaching, Institute of Technology of Yancheng, Yancheng 224003, China
Abstract:The scale of the business expands incessantly and the types of insurance increase.Considering the limitation of classical risk model and other generalized risk models,the two-insurance risk model in constant force of interest has been constructed,makes it influence the practical problems and benefit the business of insurer.The ruin probability Ψ_δ(u) is studied,we also estimate Ψ_δ(u) and Laplace transforms of Ψ_δ(u).
Keywords:ruin probability  risk model  force of interest
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