TY - GEN
T1 - On used systems and systems with used components
AU - Li, Xiaohu
AU - Pellerey, Franco
AU - You, Yinping
N1 - Publisher Copyright:
© Springer Science+Business Media New York 2013.
PY - 2013
Y1 - 2013
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=84969784557&partnerID=8YFLogxK
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U2 - 10.1007/978-1-4614-6892-9_11
DO - 10.1007/978-1-4614-6892-9_11
M3 - Conference contribution
AN - SCOPUS:84969784557
SN - 9781461468912
T3 - Lecture Notes in Statistics
SP - 219
EP - 233
BT - Stochastic Orders in Reliability and Risk
A2 - Li, Haijun
A2 - Li, Xiaohu
T2 - International Workshop on Stochastic Orders in Reliability and Risk Management, SORR 2011
Y2 - 27 June 2011 through 29 June 2011
ER -