STOCHASTIC ORDERINGS AND AGEING PROPERTIES OF RESIDUAL LIFE LENGTHS OF LIVE COMPONENTS IN (n-k+1)-OUT-OF-n SYSTEMS

被引：1

作者：

Balakrishnan, Narayanaswamy ^{[1
]}

Barmalzan, Ghobad ^{[2
,3
]}

Haidari, Abedin ^{[2
,3
]}

机构：

[1] McMaster Univ, Dept Math & Stat, Hamilton, ON L8S 4K1, Canada

[2] Zabol Univ, Dept Stat, Sistan, Iran

[3] Zabol Univ, Dept Stat, Baluchestan, Iran

来源：

JOURNAL OF APPLIED PROBABILITY | 2014年 / 51卷 / 01期

关键词：

(n - k+1)-out-of-n system; stochastic ordering; multivariate mixture; decreasing hazard rate; live component; order statistics; SAMPLE SPACINGS; STATISTICS; DISTRIBUTIONS;

D O I：

暂无

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：

Suppose that a system consists of n independent and identically distributed components and that the life lengths of the n components are X-i, i = 1, ... , n. For k is an element of {1, ... , n - 1}, let X-1((k)), ..., X-n-k((k)) be the residual life lengths of the live components following the kth failure in the system. In this paper we extend various stochastic ordering results presented in Bairamov and Arnold (2008) on the residual life lengths of the live components in an (n - k + 1)-out-of-n system, and also present a new result concerning the multivariate stochastic ordering of live components in the two-sample situation. Finally, we also characterize exponential distributions under a weaker condition than those introduced in Bairamov and Arnold (2008) and show that some special ageing properties of the original residual life lengths get preserved by residual life lengths.

引用

页码：58 / 68

页数：11

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