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

Author(s):

Narayanaswamy Balakrishnan* , Ghobad Barmalzan , Ali Akbar Hosseinzadeh

Message:
Article Type:
Research/Original Article (دارای رتبه معتبر)
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

Language:
English
Published:
Journal of Iranian Statistical Society, Volume:20 Issue: 1, Spring 2021
Pages:
83 to 100
https://magiran.com/p2318826