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引入随机利率的养老保险破产问题
引用本文:江英华,黄磊,亓福军.引入随机利率的养老保险破产问题[J].数学理论与应用,2008,28(3):65-68.
作者姓名:江英华  黄磊  亓福军
作者单位:中南大学数学科学与计算技术学院,长沙 410075
摘    要:考虑带随机利率,负索赔是随机变量的复合二项养老保险模型。通过引入调节系数,得出破产概率的上界。进一步分析了破产前盈余分布和破产持续时间概率,并获得了递推公式。

关 键 词:随机利率  破产概率  盈余分布  持续时间

The Ruin Probability Problem of the Endowment Insurance with Random Interest Rates
Jiang Yinghua Huang Lei Qi Fujun.The Ruin Probability Problem of the Endowment Insurance with Random Interest Rates[J].Mathematical Theory and Applications,2008,28(3):65-68.
Authors:Jiang Yinghua Huang Lei Qi Fujun
Institution:Jiang Yinghua Huang Lei Qi Fujun ( School of Mathematical Seienee and Computing Technology, CSU, Changsha, 410075 )
Abstract:Consider the endowment insurance model with random interes t rates and whose negative claims are compound random variables.By introducing a djustment coefficient,the ruin probability is received.Further,we obtain the rec ursive formula by analysis the distribution of the surplus before ruin and the p robability of the duration of ruin.
Keywords:Random rate Ruin probability Distribution of the surpl us Duration
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