Volume 20, Issue 1 (6-2021)
JIRSS 2021, 20(1): 83-100 |
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Balakrishnan N, Barmalzan G, Hosseinzadeh A A. Ageing Orders of Series-Parallel and Parallel-Series Systems with Independent Subsystems Consisting of Dependent Components. JIRSS. 2021; 20 (1) :83-100
URL: http://jirss.irstat.ir/article-1-777-en.html
URL: http://jirss.irstat.ir/article-1-777-en.html
Department of Mathematics and Statistics, McMaster University, Hamilton, CANADA , bala@mcmaster.ca
Abstract: (1621 Views)
In this paper, we consider series-parallel and parallel-series systems with independent subsystems consisting of dependent homogeneous components whose joint lifetimes are modeled by an Archimedean copula. Then, by considering two such systems with different numbers of components within each subsystem, we establish hazard rate and reversed hazard rate orderings between the two system lifetimes, and also discuss how these systems age relative to each other in terms of hazard rate and reversed hazard rate functions.
Keywords: Relative Ageing Orders, Hazard Rate Order, Reversed Hazard Rate Order, Series-Parallel Systems, Parallel-Series Systems, Archimedean Copulas.
Type of Study: Special Issue, Original Paper |
Subject:
62Exx: Distribution theory
Received: 2021/01/27 | Accepted: 2021/02/27 | Published: 2021/06/20
Received: 2021/01/27 | Accepted: 2021/02/27 | Published: 2021/06/20
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