Comparing the reliability of coherent systems with heterogeneous, dependent and distribution-free components. Issue 6 (2nd November 2021)

• Record Type: Journal Article
• Authors: Torrado, Nuria
• Is Part Of: Quality technology & quantitative management. Volume 18:Issue 6(2021)
• Page Start: 740
• Page End: 770
• Publication Date: 2021-11-02
• Subjects: System reliability -- parallel systems -- stochastic comparisons -- distorted distributions -- copulas -- majorization orders; Quality control -- Periodicals; Quality control -- Statistical methods -- Periodicals; Industrial management -- Periodicals; Industrial management; Management -- Research -- Methodology -- Periodicals; Qualitative research -- Periodicals; Management; Quality control; Quality control -- Statistical methods; Periodicals; 658.00721
• DOI: 10.1080/16843703.2021.1963033
• Languages: English
• ISSNs: 1684-3703

Abstract

ABSTRACT: In recent years, there has been a growing interest in comparing the reliability of systems with dependent components. Most of the recent works consider Archimedean copulas to define the dependency structure of systems and examine specific familiy of distributions. In this work, we provide distribution-free results to compare, in the usual stochastic order under some majorization conditions, coherent systems with heterogeneous and dependent components where the dependency structure can be defined by any copula. Applications of our main results for specific copulas and different families of marginal distributions are also given.