混合寿命分布的类不变性  

Class-invariance of mixture of lifetime distributions

作　　者：胡必锦[1] 

机构地区：[1]重庆交通大学信息与计算科学研究所,重庆400074

出　　处：《华中师范大学学报（自然科学版）》2007年第3期340-342,347,共4页Journal of Central China Normal University：Natural Sciences

基　　金：重庆市教委基础/应用基础基金资助项目(KJ060416).

摘　　要：讨论了寿命分布混合的类不变性问题.在相关的文献中,限制条件是加到分布函数族{F(x;α):α∈R+}上,而混合分布函数G任意,通过将限制条件加到混合分布函数G上,改进了已有的相关结果.最后,将改进的类不变性结论应用于一类指数模型,得到了有限混合指数模型的类不变性结果.This paper, discussed the class-invariance of mixture of lifetime-distributions. In the relative reference, a restriction is imposed on a family of distribution functions F（x;α）：α∈R＋}and the mixture distribution function G is arbitrary. And in this paper this restriction condition is to impose on the mixture distribution function G and some improvements are made by the conclusions. Finally, the conclusions of the class-invariance are applied to a family of the exponential models to obtain the class-invariance of finite mixture of exponential models.

关 键 词：寿命分布类 混合分布 类不变性 指数模型 

分 类 号：O212[理学—概率论与数理统计]