The optimal allocation of active redundancies to k-out-of-n systems with respect to hazard rate ordering

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• 作者：Weiyong Ding^a ; Xiaohu Li^b ; ^{mathxhli@hotmail.com}
• 关键词：Active redundancies ; Majorization order ; (Reversed) hazard rate order ; Proportional (reversed) hazard rate
• 刊名：Journal of Statistical Planning and Inference
• 出版年：2012
• 期刊代码：36_03783758
• 类别：mt
• 出版时间：July, 2012
• 卷：142
• 期：7
• 页码：1878-1887
• 文件大小：269 K

摘要

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 and improves the corresponding one of 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 to the reversed hazard order in the situation that all components are of (rational) proportional hazard rates.