二元联合生存状态与Makeham死亡律  

Joint-life Status and Makeham's Law

作　　者：管涛[1] 

机构地区：[1]中国人民公安大学网络安全保卫学院,北京100038

出　　处：《数学的实践与认识》2015年第19期155-159,共5页Mathematics in Practice and Theory

摘　　要：证明了在生存群中,如果对任意二元联合生存状态,总能找到一个联合生存状态由两个年龄相同的个体组成,并且这两个联生状态的生存分布相同,则群体死亡力为线性函数或Makeham死亡力.最终得到结论如下,二元联合生存状态中的两个个体可以由两个年龄相同的个体替代的充分必要条件是,群体死亡力服从Makeham死亡律或线性死亡律.In this paper we prove that in a survivorship group,if for each of the joint-life status of two Jives,one can find a joint-life status of two lives with same age whose timeuntil-death＇s distribution equals that of the first joint-life status,then the force of mortality of the group must be linear function or follow Makeham＇s law.Therefore,the two lives in the joint-life can be replaced by two lives with same age is the necessary and sufficient criterion to guarantee that the force of mortality follows Makeham＇s law or linear law.

关 键 词：Makeham死亡律 死亡力 联合生存状态 

分 类 号：O211[理学—概率论与数理统计]