On used systems and systems with used components

Xiaohu Li, Franco Pellerey, Yinping You

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

8 Scopus citations

Abstract

Consider an n–component coherent system having random lifetime TX, where X = (X1,…,Xn) is the vector of the nonindependent components’ lifetimes. Stochastic comparisons of the residual life of TX at a fixed time t ≥ 0, conditioned on {TX > t} or on {Xi > t,∀i = 1,…, n}, are investigated. Sufficient conditions on the vector X that imply this comparison in the usual stochastic order are provided, together with sufficient conditions under which the lifetime TX satisfies the NBU aging property.

Original languageEnglish
Title of host publicationStochastic Orders in Reliability and Risk
Subtitle of host publicationIn Honor of Professor Moshe Shaked
EditorsHaijun Li, Xiaohu Li
Pages219-233
Number of pages15
DOIs
StatePublished - 2013
EventInternational Workshop on Stochastic Orders in Reliability and Risk Management, SORR 2011 - Xiamen, China
Duration: 27 Jun 201129 Jun 2011

Publication series

NameLecture Notes in Statistics
Volume208
ISSN (Print)0930-0325
ISSN (Electronic)2197-7186

Conference

ConferenceInternational Workshop on Stochastic Orders in Reliability and Risk Management, SORR 2011
Country/TerritoryChina
CityXiamen
Period27/06/1129/06/11

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