On optimal grouping and stochastic comparisons for heterogeneous items

DOI10.1016/j.jmva.2017.06.006zbMath1381.60061OpenAlexW2724989513MaRDI QIDQ2401359

Nil Kamal Hazra, Ji Hwan Cha, Maxim Finkelstein

Publication date: 8 September 2017

Published in: Journal of Multivariate Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmva.2017.06.006

zbMATH Keywords

reliabilitystochastic ordersparallel systemseries systemmajorization orderSchur-convex/concave function

Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15) Reliability, availability, maintenance, inspection in operations research (90B25) Applications of renewal theory (reliability, demand theory, etc.) (60K10)

Related Items (15)

Stochastic properties of generalized finite α-mixtures ⋮ ON OPTIMAL HETEROGENEOUS COMPONENTS GROUPING IN SERIES-PARALLEL AND PARALLEL-SERIES SYSTEMS ⋮ On stochastic comparisons of finite mixture models ⋮ 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 ⋮ Preservation of transform orders under a semiparametric model and its mixture ⋮ On reliability analysis in k -out-of- n systems under Archimedean copula dependence ⋮ Stochastic comparisons of largest claim amounts from heterogeneous portfolios ⋮ Reliability optimization for series and parallel systems with series subsystem and comprising of dependent components under random shock environment ⋮ Reliability optimization of parallel-series and series-parallel systems with statistically dependent components ⋮ On allocation policies in systems with dependence structure and random selection of components ⋮ Reliability analysis of k-out-of-n systems based on a grouping of components ⋮ On some properties of \(\alpha\)-mixtures ⋮ On the reliability modeling of weighted \(k\)-out-of-\(n\) systems with randomly chosen components

Cites Work

• Stochastic comparisons of series and parallel systems with randomized independent components
• Comparison of combined stochastic risk processes and its applications
• Stochastic orders
• Failure rate modeling for reliability and risk
• Some results on series and parallel systems of randomized components
• Stochastic modeling for reliability. Shocks, burn-in and heterogeneous populations
• Orderings of coherent systems with randomized dependent components
• Inequalities: theory of majorization and its applications

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