寿命分布的残余熵  

The Residual Entropy 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系,重庆400074

出　　处：《工程数学学报》2009年第3期451-455,共5页Chinese Journal of Engineering Mathematics

基　　金：重庆市教委基础/应用基础研究资助项目(KJ060416)

摘　　要：本文讨论基于寿命分布类的特性,研究不同于现有文献的另一类残余寿命熵的特性,并在一定的条件下得到残余寿命熵的上界。同时,作为一种应用,讨论一类依赖于参数α的指数型寿命模型的残余寿命熵,并得出当参数α大于1时,相应的残余寿命熵受一个单调下降到零的函数的控制。In the paper, the residual entropy of lifetime-distributions is discussed. Based on the properties of classes of lifetime-distributions, another class of the residual lifetime entropy are studied by using the residual lifetime-distribution which is different from existing references, and upper-bounds of residual lifetime entropy under some constraint conditions are obtained. As an application, the residual lifetime entropies of a class of the exponential models with a parameter a are discussed, it is shown that, when the parameter α is greater than 1, the residual lifetime entropies are controlled by a function monotinically decreasing to zero.

关 键 词：寿命分布类 残余熵 上界 指数型寿命模型 

分 类 号：O212.6[理学—概率论与数理统计]