RecordNumber
3943
Author
Balakrishnan, Narayanaswamy
Crop_Body
Narayanaswamy Balakrishnan, Ghobad Barmalzan, and Ali Akbar Hosseinzadeh
Title of Article
Ageing Orders of Series-Parallel and Parallel-Series Systems with Independent Subsystems Consisting of Dependent Components
Title Of Journal
خبرنامه انجمن آمار ايران
PublishInfo
تهران :انجمن آمار ايران
Publication Year
2021
Volum
20
Issue Number
1
Page
83-100
Keywords
Relative Ageing Orders. , Hazard Rate Order , Reversed Hazard Rate Order , Series-Parallel Systems , Parallel-Series Systems , Archimedean Copulas
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 dierent 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.