寿命分布的残余熵

The Residual Entropy of Lifetime Distributions

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.