不同随机环境下关联系统的一些序性质  

Some Ordering Properties of Coherent Systems under Different Random Environments

作　　者：凌晓亮[1] 高宇 李娉[2] LING Xiaoliang;GAO Yu;LI Ping(College of Sciences,Hebei University of Science and Technology,Shijiazhuang,050018,China;School of Business,Hebei Normal University,Shijiazhuang,050024,China)

机构地区：[1]河北科技大学理学院,石家庄050018 [2]河北师范大学商学院,石家庄050024

出　　处：《应用概率统计》2021年第5期441-448,共8页Chinese Journal of Applied Probability and Statistics

基　　金：国家自然科学基金项目(批准号:72071071);河北省青年拔尖人才支持计划资助.

摘　　要：在可靠性工程中,关联系统的元件寿命相依性可能是由所运行的共同随机环境导致的.本文利用多元扭曲函数刻画系统的结构函数和元件寿命之间的相依性.在普通随机序、失效率序、反向失效率序和似然比序意义下,给出充分条件对不同随机环境下的关联系统进行了比较.In reliability engineering,components of the coherent system may be dependent since they operate in a common random environment.This paper uses multivariate distortion function to describe the dependence among lifetimes of components and the structure function of the coherent system.Some sufficient conditions are given to compare two coherent systems under different random environments in the sense of usual stochastic order,failure rate order,reversed failure rate order and likelihood ratio order.

关 键 词：随机序 关联系统 随机环境 相依元件 扭曲函数 

分 类 号：O212.2[理学—概率论与数理统计]