Dispersive and hazard rate orderings of parallel systems with exponential dependent components

Based on dispersive and hazard rate orders, sharp lower bounds for the maximum order statistic of heterogeneous dependent exponential random variables whose joint distribution is modeled via an Archimedean copula are found. Our results extend and refine a recent contribution by Amini-Seresht, Khaled...

Full description

Saved in:
Bibliographic Details
Published inStatistics & probability letters Vol. 227; p. 110514
Main Authors Alomani, Ghadah, Alqefari, Anfal A., Kayid, Mohamed
Format Journal Article
LanguageEnglish
Published Elsevier B.V 01.01.2026
Subjects
Archimedean copula
Dispersive ordering
Hazard rate ordering
Lower bounds
Maximum order statistic
Lower bounds
Dispersive ordering
Hazard rate ordering
Maximum order statistic
Archimedean copula
Online AccessGet full text

Cover

More Information
Summary:Based on dispersive and hazard rate orders, sharp lower bounds for the maximum order statistic of heterogeneous dependent exponential random variables whose joint distribution is modeled via an Archimedean copula are found. Our results extend and refine a recent contribution by Amini-Seresht, Khaledi, and Izadkhah (Statist. Probab. Lett. 215 (2024), 110242), by providing tighter bounds under convenient conditions on the generator function of the Archimedean copula.
ISSN:0167-7152
DOI:10.1016/j.spl.2025.110514