Ageing Orders of Series-Parallel and Parallel-Series Systems with Independent Subsystems Consisting of Dependent Components

Authors
Narayanaswamy Balakrishnan 1
Ghobad Barmalzan 2
Ali Akbar Hosseinzadeh 3
1 Department of Mathematics and Statistics, McMaster University, Hamilton, CANADA
2 Department of Statistics, University of Zabol, Sistan and Baluchestan, IRAN
3 Department of Mathematics, University of Zabol, Sistan and Baluchestan, IRAN
10.52547/jirss.20.1.83
Abstract
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
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Journal of the Iranian Statistical Society
Volume 20, Issue 1
June 2021
Pages 83-100

  • Receive Date 23 July 2022