On the copula-based reliability of stress-strength model under bivariate stress

Hüdaverdi B., Susam S. O.

International Journal of General Systems, vol.52, no.7, pp.842-863, 2023 (SCI-Expanded, Scopus) identifier identifier

  • Publication Type: Article / Article
  • Volume: 52 Issue: 7
  • Publication Date: 2023
  • Doi Number: 10.1080/03081079.2023.2218017
  • Journal Name: International Journal of General Systems
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Applied Science & Technology Source, Communication Abstracts, Compendex, Computer & Applied Sciences, INSPEC, Metadex, zbMATH, Civil Engineering Abstracts
  • Page Numbers: pp.842-863
  • Keywords: Stress-strength reliability, Bernstein copula, MLE, dependent stress
  • Dokuz Eylül University Affiliated: Yes

Abstract

In this paper, we consider the stress-strength reliability (Formula presented.) where the strength Y of a component lies between the dependent stress variables (Formula presented.) and (Formula presented.). We propose a copula-based approach for stress-strength reliability having bivariate stress. We obtain R for Farlie-Gumbel-Morgenstern copula with Burr III marginals. Also, we propose a Bernstein copula approximation for evaluating R under the stress-strength setup. We present empirical and maximum likelihood-based estimation procedures and compare their performances by Monte Carlo simulation. We apply the proposed approach to chemical and overt diabetes data for illustration purpose.