TY - JOUR
T1 - On a system of nonhomogeneous components sharing a common frailty
AU - Ling, Xiaoliang
AU - Zhao, Peng
AU - Li, Xiaohu
PY - 2012/6
Y1 - 2012/6
N2 - The components of a reliability system subjected to a common random environment usually have dependent lifetimes. This paper studies the stochastic properties of such a system with lifetimes of the components following multivariate frailty models and multivariate mixed proportional reversed hazard rate (PRHR) models, respectively. Through doing stochastic comparison, we devote to throwing a new light on how the random environment affects the number of working components of a reliability system and on assessing the performance of a k-out-of-n system.
AB - The components of a reliability system subjected to a common random environment usually have dependent lifetimes. This paper studies the stochastic properties of such a system with lifetimes of the components following multivariate frailty models and multivariate mixed proportional reversed hazard rate (PRHR) models, respectively. Through doing stochastic comparison, we devote to throwing a new light on how the random environment affects the number of working components of a reliability system and on assessing the performance of a k-out-of-n system.
KW - K-Out-of-n system
KW - Multivariate frailty model
KW - Proportional hazard rate
KW - Proportional reversed hazard rate
KW - Random environment
KW - Stochastic order
UR - http://www.scopus.com/inward/record.url?scp=84862783588&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84862783588&partnerID=8YFLogxK
U2 - 10.1016/j.jspi.2011.12.010
DO - 10.1016/j.jspi.2011.12.010
M3 - Article
AN - SCOPUS:84862783588
SN - 0378-3758
VL - 142
SP - 1330
EP - 1338
JO - Journal of Statistical Planning and Inference
JF - Journal of Statistical Planning and Inference
IS - 6
ER -