Stochastic Comparison of Residual and Past Lifetimes of (nk+1)-Out-of-n Systems with Dependent Components

被引：8

作者：

Rezapour, M. ^{[1
]}

Salehi, E. T. ^{[1
]}

Alamatsaz, M. H. ^{[1
]}

机构：

[1] Univ Isfahan, Dept Stat, Esfahan 8174673441, Iran

来源：

COMMUNICATIONS IN STATISTICS-THEORY AND METHODS | 2013年 / 42卷 / 12期

关键词：

Archimedean copula; Dependence structure; Order statistics; Reliability; Primary; 60E05; Secondary; 62E10; OF-N SYSTEMS; LIFE;

D O I：

10.1080/03610926.2011.606484

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：

In this article, some results are derived on stochastic comparisons of the residual and past lifetimes of an (nk+1)-out-of-n system with dependent components. These findings generalize some recent results obtained on systems with independent components and provide some interesting results for a system with dependent components following an Archimedean copula. An illustrative example is provided.

引用

页码：2185 / 2199

页数：15

共 48 条

[1] Stochastic comparison of lifetimes of two (n-k+1)-out-of-n systems with heterogeneous dependent components
Rezapour, Mohsen
Alamatsaz, Mohammad Hossein
JOURNAL OF MULTIVARIATE ANALYSIS, 2014, 130 : 240 - 251
[2] On residual lifetimes in sequential (n-k+1)-out-of-n systems
Gurler, S.
STATISTICAL PAPERS, 2012, 53 (01) : 23 - 31
[3] 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
[4] Results on the past lifetime of (n − k + 1)-out-of-n structures with nonidentical components
E. T. Salehi
M. Asadi
Metrika, 2012, 75 : 439 - 454
[5] STOCHASTIC ORDERINGS AND AGEING PROPERTIES OF RESIDUAL LIFE LENGTHS OF LIVE COMPONENTS IN (n-k+1)-OUT-OF-n SYSTEMS
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Barmalzan, Ghobad
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JOURNAL OF APPLIED PROBABILITY, 2014, 51 (01) : 58 - 68
[6] Results on the past lifetime of (n - k+1)-out-of-n structures with nonidentical components
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[7] ON RESIDUAL LIFETIMES OF k-OUT-OF-n SYSTEMS WITH NONIDENTICAL COMPONENTS
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Xu, Maochao
PROBABILITY IN THE ENGINEERING AND INFORMATIONAL SCIENCES, 2010, 24 (01) : 109 - 127
[8] Stochastic Comparisons on the Residual Lifetimes of Series Systems with Arbitrary Components using Copulas
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Hashemi-Bosra, Seyyed Shahrokh
JIRSS-JOURNAL OF THE IRANIAN STATISTICAL SOCIETY, 2022, 21 (02): : 51 - 72
[9] Stochastic comparisons of residual lifetimes and inactivity times of coherent systems with dependent identically distributed components
Gupta, Nitin
Misra, Neeraj
Kumar, Somesh
EUROPEAN JOURNAL OF OPERATIONAL RESEARCH, 2015, 240 (02) : 425 - 430
[10] A study on the mean past lifetime of the components of (n − k + 1)-out-of-n system at the system level
Mahdi Tavangar
Majid Asadi
Metrika, 2010, 72 : 59 - 73

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