UNIVARIATE AND MULTIVARIATE STOCHASTIC ORDERINGS OF RESIDUAL LIFETIMES OF LIVE COMPONENTS IN SEQUENTIAL (n - r+1)-OUT-OF-n SYSTEMS

被引：3

作者：

Barmalzan, Ghobad ^{[1
]}

Haidari, Abedin ^{[2
]}

Balakrishnan, Narayanaswamy ^{[3
]}

机构：

[1] Univ Zabol, Dept Stat, Sistan and Baluchestan, Iran

[2] Shahid Beheshti Univ, Dept Math Sci, Tehran, Iran

[3] McMaster Univ, Dept Math & Stat, Hamilton, ON, Canada

来源：

JOURNAL OF APPLIED PROBABILITY | 2018年 / 55卷 / 03期

关键词：

Sequential (n - r+1)-out-of-n system; characterization; likelihood ratio order; hazard rate order; mean residual life order; usual multivariate stochastic order; live component; residual lifetime; AGING PROPERTIES; STATISTICS; INFERENCE;

D O I：

10.1017/jpr.2018.53

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：

Sequential order statistics can be used to describe the ordered lifetimes of components of a system when the failure of a component may affect the reliability of the remaining components. After a reliability system consisting of n components fails, some of its components may still be alive. In this paper we first establish some univariate stochastic orderings and ageing properties of the residual lifetimes of the live components in a sequential (n - r + 1)-out-of-n system. We also obtain a characterizing result for the exponential distribution based on uncorrelated residual lifetimes of live components. Finally, we provide some sufficient conditions for comparing vectors of residual lifetimes of the live components from two sequential (n - r + 1)-out-of-n systems. The results established here extend some well-known results in the literature.

引用

页码：834 / 844

页数：11

共 46 条

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