3943

Narayanaswamy Balakrishnan, Ghobad Barmalzan, and Ali Akbar Hosseinzadeh

خبرنامه انجمن آمار ايران

تهران :انجمن آمار ايران

2021

20

1

83-100

Relative Ageing Orders. , Hazard Rate Order , Reversed Hazard Rate Order , Series-Parallel Systems , Parallel-Series Systems , Archimedean Copulas

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.