单调关联系统休止时间的随机性质  

On the conditional inactivity time of coherent system

作　　者：贾彬霞 张正成[1] Jia Binxia;Zhang Zhengcheng(School of Mathematics and Physics,Lanzhou Jiaotong University,Lanzhou 730070,China)

机构地区：[1]兰州交通大学数理学院,兰州730070

出　　处：《河南师范大学学报（自然科学版）》2018年第3期19-25,共7页Journal of Henan Normal University(Natural Science Edition)

基　　金：国家自然科学基金(11161028;71361020)

摘　　要：Signature是研究单调关联系统时要用到一个有用的工具.基于元件寿命的顺序统计量的条件休止时间,建立了由n个独立同分布元件构成的单调关联系统的条件休止时间的混合表达式.建立在该混合表达式上,对具有不同元件或结构的两个系统的条件休止时间进行了随机比较.The concept of"signature"is a useful tool to study the reliability properties of a coherent system.A mixture representation of the reliability function of conditional inactivity time of coherent system with n independent and identically distributed components was built in terms of the reliability functions of conditional inactivity times of order statistics.Based on the mixture representations,and then we carry out stochastic comparisons between the conditional inactivity time of two coherent systems with different structures or different component lifetimes.

关 键 词：SIGNATURE 单调关联系统 休止时间 次序统计量 随机序 

分 类 号：O213.2[理学—概率论与数理统计]