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

被引：26

作者：

Ding, Weiyong ^{[2
]}

Li, Xiaohu ^{[1
]}

机构：

[1] Xiamen Univ, Sch Math Sci, Xiamen 361005, Peoples R China

[2] Lanzhou Univ, Sch Math & Stat, Lanzhou 730000, Peoples R China

来源：

JOURNAL OF STATISTICAL PLANNING AND INFERENCE | 2012年 / 142卷 / 07期

基金：

中国国家自然科学基金;

关键词：

Active redundancies; Majorization order; (Reversed) hazard rate order; Proportional (reversed) hazard rate; SERIES SYSTEMS; STOCHASTIC COMPARISONS; PARALLEL SYSTEMS; COMPONENTS; RESOURCES; NODES;

D O I：

10.1016/j.jspi.2012.02.025

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

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 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. (C) 2012 Elsevier B.V. All rights reserved.

引用

页码：1878 / 1887

页数：10

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