Stochastic comparisons on total capacity of weighted k-out-of-n systems with heterogeneous components

DOI10.1080/24754269.2021.1894402OpenAlexW3134704569MaRDI QIDQ5880104

Yiying Zhang

Publication date: 7 March 2023

Published in: Statistical Theory and Related Fields (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/24754269.2021.1894402

zbMATH Keywords

reliabilitystochastic ordersheterogeneitymajorisationweighted \(k\)-out-of-\(n\) system

Mathematics Subject Classification ID

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

Cites Work

• Stochastic comparisons of total capacity of weighted-\(k\)-out-of-\(n\) systems
• Some new notions of dependence with applications in optimal allocation problems
• Stochastic orders
• Importance of components in \(k\)-out-of-\(n\) system with components having random weights
• Multivariate arrangement increasing functions with applications in probability and statistics
• Functions decreasing in transposition and their applications in ranking problems
• Optimal allocation of active redundancies in weighted \(k\)-out-of-\(n\) systems
• Joint reliability and weighted importance measures of a \(k\)-out-of-\(n\) system with random weights for components
• Notions of multivariate dependence and their applications in optimal portfolio selections with dependent risks
• Systems with weighted components
• On the skewness of extreme order statistics from heterogeneous samples
• Stochastic comparisons of parallel and series systems with heterogeneous resilience-scaled components
• On total capacity of k‐out‐of‐n systems with random weights
• ON WEIGHTED K-OUT-OF-N SYSTEMS WITH STATISTICALLY DEPENDENT COMPONENT LIFETIMES
• Inequalities: theory of majorization and its applications

This page was built for publication: Stochastic comparisons on total capacity of weighted k-out-of-n systems with heterogeneous components