On reliability analysis in k -out-of- n systems under Archimedean copula dependence

DOI10.1080/03610926.2022.2078840OpenAlexW4281564276MaRDI QIDQ6082464

Longxiang Fang, Shuai Zhang, Jinling Lu

Publication date: 29 November 2023

Published in: Communications in Statistics - Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03610926.2022.2078840

zbMATH Keywords

reliabilityArchimedean copula\(k\)-out-of-\(n\) systemparallel subsystems

Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15) Applications of renewal theory (reliability, demand theory, etc.) (60K10) Reliability and life testing (62N05)

Cites Work

• Ordering properties of order statistics from random variables of Archimedean copulas with applications
• An introduction to copulas.
• Stochastic orders
• Some results on series and parallel systems of randomized components
• Optimal allocation of redundancies in series systems
• Optimal grouping of heterogeneous components in series and parallel systems under Archimedean copula dependence
• Stochastic comparisons of series-parallel and parallel-series systems with dependence between components and also of subsystems
• Optimal grouping of heterogeneous components in series-parallel and parallel-series systems under Archimedean copula dependence
• On allocation policies in systems with dependence structure and random selection of components
• On optimal grouping and stochastic comparisons for heterogeneous items
• Redundancy allocation at component level versus system level
• Stochastic comparisons on sample extremes of dependent and heterogenous observations
• On the Allocation of Redundancies in Series and Parallel Systems
• Optimal Allocation of Active Redundancies to k-out-of-n Systems with Heterogeneous Components
• Optimal allocation of components in parallel–series and series–parallel systems
• ON OPTIMAL HETEROGENEOUS COMPONENTS GROUPING IN SERIES-PARALLEL AND PARALLEL-SERIES SYSTEMS
• Reliability analysis of k-out-of-n systems based on a grouping of components
• Standby Redundancy Allocations in Series and Parallel Systems
• Inequalities: theory of majorization and its applications

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