Title of article
Ageing Orders of Series-Parallel and Parallel-Series Systems with Independent Subsystems Consisting of Dependent Components
Author/Authors
Balakrishnan, Narayanaswamy Department of Mathematics and Statistics - McMaster University, Hamilton, CANADA , Barmalzan, Ghobad Department of Statistics - University of Zabol - Sistan and Baluchestan, IRAN , Hosseinzadeh, Ali Akbar Department of Mathematics - University of Zabol - Sistan and Baluchestan, IRAN
Pages
18
From page
83
To page
100
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
Journal title
Journal of the Iranian Statistical Society (JIRSS)
Serial Year
2021
Record number
2686369
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