TY - GEN
T1 - Stochastic Comparisons of Used Coherent System and New System of Used Components for Non-Identically Distributed and Dependent Components
AU - Fang, Rui
AU - Li, Xiaohu
N1 - Publisher Copyright:
© 2017 IEEE.
PY - 2017/8/7
Y1 - 2017/8/7
N2 - For components having dependent and possibly non-identically distributed lifetimes, we study the stochastic comparison between lifetimes of a used coherent system and a similar new system consisting of used components. Sufficient conditions for the usual stochastic order, the hazard rate order and the reversed hazard rate order under the situation when component lifetimes have general distribution are provided. As for proportional hazards component lifetimes, sufficient and necessary conditions guaranteeing several stochastic orders are derived, including the usual stochastic order, the hazard rate order, the reversed hazard rate order, the likelihood ratio order and the relative ageing orderings. Several numerical examples are provided for illustrations.
AB - For components having dependent and possibly non-identically distributed lifetimes, we study the stochastic comparison between lifetimes of a used coherent system and a similar new system consisting of used components. Sufficient conditions for the usual stochastic order, the hazard rate order and the reversed hazard rate order under the situation when component lifetimes have general distribution are provided. As for proportional hazards component lifetimes, sufficient and necessary conditions guaranteeing several stochastic orders are derived, including the usual stochastic order, the hazard rate order, the reversed hazard rate order, the likelihood ratio order and the relative ageing orderings. Several numerical examples are provided for illustrations.
KW - Coherent system
KW - Proportional hazards
KW - Residual lifetime
KW - Stochastic order
KW - Survival copula
UR - http://www.scopus.com/inward/record.url?scp=85034424137&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=85034424137&partnerID=8YFLogxK
U2 - 10.1109/QRS-C.2017.30
DO - 10.1109/QRS-C.2017.30
M3 - Conference contribution
AN - SCOPUS:85034424137
T3 - Proceedings - 2017 IEEE International Conference on Software Quality, Reliability and Security Companion, QRS-C 2017
SP - 146
EP - 151
BT - Proceedings - 2017 IEEE International Conference on Software Quality, Reliability and Security Companion, QRS-C 2017
T2 - 2017 IEEE International Conference on Software Quality, Reliability and Security Companion, QRS-C 2017
Y2 - 25 July 2017 through 29 July 2017
ER -