失效单调关联系统中可存活元件的剩余寿命的混合表示

Mixture Representation of Residual Lifetimes of Living Components in Failed Coherent Systems

中文关键词:  单调关联系统  剩余寿命  随机序  signature  失效递增率

英文关键词:Coherent system  residual lifetime  stochastic ordering  signature  increasing failure rate

中文摘要:

      本文中研究的是由$n$个独立同分布元件构成的单调关联系统,当该单调关联系统失效时得到了系统中可存活元件的剩余寿命的可靠性函数的混合表示.基于signature的概念,对两个系统的剩余寿命进行了随机比较.

英文摘要:

      In this paper we consider a coherent system consisting of $n$ components with independent and identically distributed components. We obtain a mixture representation of the reliability function of the residual lifetime of living components of a coherent system when the system has failed. Based on the concept of signature, stochastic comparisons on the residual life of two systems with stochastically ordered signatures are conducted.