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个体风险模型的Poisson复合模型近似
引用本文:周俊,成世学,程乾生. 个体风险模型的Poisson复合模型近似[J]. 运筹学学报, 2003, 7(2): 91-96
作者姓名:周俊  成世学  程乾生
作者单位:1. 北京大学数学科学学院,北京,100871
2. 中国人民大学信息学院,北京,100872
基金项目:国家自然科学基金(19971095)
摘    要:本文在近乎最一般的假定下,简述了个体风险模型的Poisson复合模型近似.特别地,借助风险间停止损失保费的总差异给出了这一近似的精度.

关 键 词:个体风险模型 Poisson复合模型近似 保险 随机变量 分布函数 停止损失保费 离散化 停止损失序
修稿时间:2002-11-08

The Poisson Compound Approximation to Individual Risk Model
JUN ZHOU SHIXUE CHENG QIANSHENG CHENG School of Mathematical Sciences,Peking University,Beijing,.School of Information,Renmin University of China,Beijing. The Poisson Compound Approximation to Individual Risk Model[J]. OR Transactions, 2003, 7(2): 91-96
Authors:JUN ZHOU SHIXUE CHENG QIANSHENG CHENG School of Mathematical Sciences  Peking University  Beijing  .School of Information  Renmin University of China  Beijing
Affiliation:JUN ZHOU SHIXUE CHENG QIANSHENG CHENG School of Mathematical Sciences,Peking University,Beijing,100871.School of Information,Renmin University of China,Beijing,100872
Abstract:In nearly most general assumptions, the Poisson compound approximation to individual risk model is briefly described. Besides, in terms of the aggregate difference of stop-loss premiums between two risks, the precision of such approximation is quantitatively characterized.
Keywords:OR   individual risk model   Poisson compound risk model   stop-loss premium   stop-loss order   discretization   latticization.
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