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 15 条

[1] STOCHASTIC ORDERINGS AND AGEING PROPERTIES OF RESIDUAL LIFE LENGTHS OF LIVE COMPONENTS IN (n-k+1)-OUT-OF-n SYSTEMS
Balakrishnan, Narayanaswamy
Barmalzan, Ghobad
Haidari, Abedin
JOURNAL OF APPLIED PROBABILITY, 2014, 51 (01) : 58 - 68
[2] On residual lifetimes in sequential (n − k + 1)-out-of-n systems
S. Gurler
Statistical Papers, 2012, 53 : 23 - 31
[3] On residual lifetimes in sequential (n-k+1)-out-of-n systems
Gurler, S.
STATISTICAL PAPERS, 2012, 53 (01) : 23 - 31
[4] Necessary and sufficient conditions for stochastic orders between (n - r+1)-out-of-n systems in proportional hazard (reversed hazard) rates model
Balakrishnan, Narayanaswamy
Barmalzan, Ghobad
Haidari, Abedin
Najafabadi, Amir T. Payandeh
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[5] The mean general residual lifetime of (n - k+1)- out-of-n systems with exchangeable components
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Hashemi-Bosra, S. S.
COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 2017, 46 (13) : 6382 - 6400
[6] Ordering New Conditional Residual Lifetimes of k-out-of-n Systems
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[7] Residual lifetime prediction for sequential k-out-of-n systems with dependent component lifetimes
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COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 2023, 52 (09) : 3178 - 3192
[8] On Conditional Inactivity Time of Failed Components in an (n - k+1)-out-of-n System with Nonidentical Independent Components
Sajadi, Farkhondeh Alsadat
Poursaeed, Mohammad Hossein
Goli, Sareh
JIRSS-JOURNAL OF THE IRANIAN STATISTICAL SOCIETY, 2020, 19 (01): : 69 - 83
[9] Ordered properties on the residual life and inactivity time of (n-k+1)-out-of-n systems under double monitoring
Zhang, Zhengcheng
Yang, Yonghong
STATISTICS & PROBABILITY LETTERS, 2010, 80 (7-8) : 711 - 717
[10] ON THE BEHAVIORS OF THE PERCENTILE RESIDUAL LIFE FOR COMPONENTS AND FOR K-OUT-OF-N SYSTEMS
Shen, Yan
Ye, Zhisheng
PROBABILITY IN THE ENGINEERING AND INFORMATIONAL SCIENCES, 2015, 29 (02) : 291 - 308

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