TY - JOUR
T1 - Monotonicity properties of residual lifetimes of parallel systems and inactivity times of series systems with heterogeneous components
AU - Ding, Weiyong
AU - Li, Xiaohu
AU - Balakrishnan, Narayanaswamy
PY - 2012/1
Y1 - 2012/1
N2 - Here, we discuss the stochastic comparison of residual lifetimes of parallel systems and inactivity times of series systems by means of the reversed hazard rate order when the components of the systems are independent but not necessarily identically distributed. We also establish some monotonicity properties of such residual lifetimes of parallel systems and inactivity times of series systems. These results extend some of the recent results in this direction due to Zhao, Li, and Balakrishnan [21], Kochar and Xu [12], and Saledi and Asadi [16].
AB - Here, we discuss the stochastic comparison of residual lifetimes of parallel systems and inactivity times of series systems by means of the reversed hazard rate order when the components of the systems are independent but not necessarily identically distributed. We also establish some monotonicity properties of such residual lifetimes of parallel systems and inactivity times of series systems. These results extend some of the recent results in this direction due to Zhao, Li, and Balakrishnan [21], Kochar and Xu [12], and Saledi and Asadi [16].
UR - http://www.scopus.com/inward/record.url?scp=84858865248&partnerID=8YFLogxK
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U2 - 10.1017/S0269964811000234
DO - 10.1017/S0269964811000234
M3 - Article
AN - SCOPUS:84858865248
SN - 0269-9648
VL - 26
SP - 61
EP - 75
JO - Probability in the Engineering and Informational Sciences
JF - Probability in the Engineering and Informational Sciences
IS - 1
ER -