Hazard rate ordering of \(k\)-out-of-\(n\) systems

DOI10.1016/0167-7152(94)00087-OzbMath0819.60016OpenAlexW2024226494MaRDI QIDQ1892107

J. George Shanthikumar, Shaked, Moshe

Publication date: 15 August 1995

Published in: Statistics \& Probability Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-7152(94)00087-o

zbMATH Keywords

order statisticsstochastic orderinghazard rate orderingseries-parallel and parallel- series systems

Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15) Probability distributions: general theory (60E05)

Related Items (6)

Stochastic properties of a weighted frailty model ⋮ Proportional reversed hazard rates weighted frailty model ⋮ Stochastic comparisons of series and parallel systems with randomized independent components ⋮ On the comparison in hazard rate ordering of fail-safe systems ⋮ On hazard rate ordering of parallel systems with two independent components ⋮ Bounds for mixtures of order statistics from exponentials and applications

Cites Work

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• The preservation of likelihood ratio ordering under convolution
• Redundancy importance and allocation of spares in coherent systems
• Active Redundancy Allocation in Coherent Systems
• Optimal allocation of components in parallel–series and series–parallel systems
• Multivariate hazard rates and stochastic ordering
• Preservation of partial orderings under the formation of k-out-of-n:G systems of i.i.d. components
• Optimal allocation of resources to nodes of parallel and series systems
• Applications of the hazard rate ordering in reliability and order statistics
• Uniform stochastic orderings and total positivity

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