Signature-Based Representations for the Reliability of Systems with Heterogeneous Components

DOI10.1239/jap/1316796920zbMath1250.62052OpenAlexW2044535134MaRDI QIDQ3094699

Narayanaswamy Balakrishnan, Jorge Navarro, Francisco J. Samaniego

Publication date: 25 October 2011

Published in: Journal of Applied Probability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1239/jap/1316796920

zbMATH Keywords

order statisticscopulasstochastic orderssignaturecoherent systemmixtures\(k\)-out-of-\(n\) system

Mathematics Subject Classification ID

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

Related Items (27)

Representations of the inactivity time for coherent systems with heterogeneous components and some ordered properties ⋮ Copula-based representations for the reliability of the residual lifetimes of coherent systems with dependent components ⋮ Preservation of stochastic orders under the formation of generalized distorted distributions. Applications to coherent systems ⋮ On the Residual and Inactivity Times of the Components of Used Coherent Systems ⋮ A Note on the Mixture Representation of the Conditional Residual Lifetime of a Coherent System ⋮ Stochastic comparisons of coherent systems ⋮ The joint reliability signature of order statistics ⋮ On the signature of complex system: a decomposed approach ⋮ On the joint signature of several coherent systems with some shared components ⋮ Reliability of a coherent system equipped with two cold standby components ⋮ Comparison results for inactivity times of \(k\)-out-of-\(n\) and general coherent systems with dependent components ⋮ On the mean and variance residual life comparisons of coherent systems with identically distributed components ⋮ Signatures of series and parallel systems consisting of non disjoint modules ⋮ Consecutive \(k\)-within-\(m\)-out-of-\(n\):F system with nonidentical components ⋮ On computing signatures of \(k\)-out-of-\(n\) system consisting of modules ⋮ A study on reliability of coherent systems equipped with a cold standby component ⋮ Mixture Representations for the Joint Distribution of Lifetimes of two Coherent Systems with Shared Components ⋮ On the residual lifetime of coherent systems with heterogeneous components ⋮ The failure probability of components in three-state networks with applications to age replacement policy ⋮ Distribution-free comparisons of residual lifetimes of coherent systems based on copula properties ⋮ Reliability of coherent systems with a single cold standby component ⋮ On comparing coherent systems with heterogeneous components ⋮ On component failure in coherent systems with applications to maintenance strategies ⋮ On Bivariate Signatures for Systems with Independent Modules ⋮ Relative behavior of a coherent system with respect to another coherent system ⋮ On Uniformly Optimal Networks: A Reversal of Fortune? ⋮ Unnamed Item

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