Forthcoming

Orderings and Ageing of Reliability Systems with Dependent Components Under Archimedian Copulas

Accepted - November 2021

Authors

  • Ghobad Barmalzan University of Zabol
  • Ali Akbar Hosseinzadeh University of Zabol
  • Narayanaswamy Balakrishnan McMaster University

Keywords:

stochastic orders, ageing faster in hazard rate, ageing faster in reversed hazard rate, series systems, parallel systems, fail-safe systems

Abstract

In this paper, we have considered systems with dependent components having a joint distribution modeled by an Archimedean copula and with component lifetimes following accelerated failure time and modified proportional hazards distributions. We have then established characterization results specifically for series, fail-safe, 2-out-of n and parallel systems through comparisons with average systems in terms of mean residual life, hazard rate and reversed hazard rate orders. We have also discussed various stochastic orderings and ageing results for the residual lives of parallel and series systems. The results established here are quite general, and several examples have been used to illustrate all the results and their reliability implications.

Published

2021-11-06

How to Cite

Barmalzan , G., Akbar Hosseinzadeh , A., & Balakrishnan , N. (2021). Orderings and Ageing of Reliability Systems with Dependent Components Under Archimedian Copulas: Accepted - November 2021. REVSTAT-Statistical Journal. Retrieved from https://revstat.ine.pt/index.php/REVSTAT/article/view/404

Issue

Section

Forthcoming Paper