保险系统的两类损失分布模型  

The Distribution Model of Two Loss in Insurance System

作　　者：刘维奇[1] 史金凤[1] 

机构地区：[1]山西大学数学科学学院,山西太原030006

出　　处：《山西大学学报（自然科学版）》2005年第3期247-252,共6页Journal of Shanxi University(Natural Science Edition)

基　　金：山西省自然科学基金(20031005)

摘　　要：基于投保人数为服从某一离散型分布的随机变量,在每个投保人的平均损失费所服从指数分布的参数全相同和各不相同两种情况下导出被保险人总损失费的分布密度;在投保人的平均损失费服从指数分布的参数不全相同情况下,导出被保险人总损失费的特征函数,并给出一种特殊情形下的分布密度.Assuming that the number of the insured persons is a discrete random variable,the distribution and mathematical expection of the total loss fees for insurance are derived in the two cases that every person＇s mean loss fees is all equal and not equal. Furthermore,the characteristic function and expection in the case that every person＇s mean loss fees is not all equal were studied,and the distribution of a special situation was gaven. This conclusion is more general.

关 键 词：损失费 保险费 概率分布 

分 类 号：O211[理学—概率论与数理统计]