逆威布尔分布下并联系统的随机比较

Stochastic Comparisons of Parallel Systems under Inverse Weibull Distribution

在研究逆威布尔分布的基础上,讨论了元件寿命服从特征寿命参数相同形状参数不同以及形状参数相同特征寿命参数不同的逆威布尔分布下,两个由独立元件构成的并联系统一般随机序的随机比较问题,并给出了随机比较的几个充分条件。接着又讨论了元件寿命服从形状参数相同但特征寿命参数不同的逆威布尔分布下,两个并联系统在分散序以及似然比序下的随机比较问题,并给出了随机比较的几个充分条件。

Based on the study of the inverse Weibull distribution,this paper discusses the stochastic comparison of general random sequences of two parallel systems composed of independent components under the inverse Weibull distribution with the same characteristic life parameters and different shape parameters and the same characteristic life parameters and different shape parameters.Some sufficient conditions for random comparison are given.Then,the random comparison of two parallel systems in dispersion order and likelihood ratio order is discussed under the inverse Weibull distribution with the same shape parameters but different characteristic life parameters,and some sufficient conditions for the random comparison are given.