TY - JOUR
T1 - The optimal allocation of active redundancies to k-out-of-n systems with respect to hazard rate ordering
AU - Ding, Weiyong
AU - Li, Xiaohu
PY - 2012/7
Y1 - 2012/7
N2 - This paper deals with the allocation of active redundancies to a k-out-of-n system with independent and identically distributed (i.i.d.) components in the sense of the hazard rate order. It is shown that the system's hazard rate may be decreased by balancing the allocation of active redundancies. This generalizes the main result of Singh and Singh (1997) and improves the corresponding one of Hu and Wang (2009) as well. As an application, we build the reversed hazard rate order on order statistics from sample having proportional hazard rates, which strengthens the usual stochastic order in Theorem 2.1 of Pledger and Proschan (1971) to the reversed hazard order in the situation that all components are of (rational) proportional hazard rates.
AB - This paper deals with the allocation of active redundancies to a k-out-of-n system with independent and identically distributed (i.i.d.) components in the sense of the hazard rate order. It is shown that the system's hazard rate may be decreased by balancing the allocation of active redundancies. This generalizes the main result of Singh and Singh (1997) and improves the corresponding one of Hu and Wang (2009) as well. As an application, we build the reversed hazard rate order on order statistics from sample having proportional hazard rates, which strengthens the usual stochastic order in Theorem 2.1 of Pledger and Proschan (1971) to the reversed hazard order in the situation that all components are of (rational) proportional hazard rates.
KW - (Reversed) hazard rate order
KW - Active redundancies
KW - Majorization order
KW - Proportional (reversed) hazard rate
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U2 - 10.1016/j.jspi.2012.02.025
DO - 10.1016/j.jspi.2012.02.025
M3 - Article
AN - SCOPUS:84862813496
SN - 0378-3758
VL - 142
SP - 1878
EP - 1887
JO - Journal of Statistical Planning and Inference
JF - Journal of Statistical Planning and Inference
IS - 7
ER -