Mean Residual Lifetimes of Consecutive-k-out-of-n Systems

DOI10.1239/jap/1175267165zbMath1135.62084OpenAlexW1989365731MaRDI QIDQ5443703

Jorge Navarro, Serkan N. Eryılmaz

Publication date: 22 February 2008

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

Full work available at URL: https://doi.org/10.1239/jap/1175267165

Mathematics Subject Classification ID

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

Related Items (40)

Stochastic comparisons of generalized mixtures and coherent systems ⋮ Parallel and \(k\)-out-of-\(n\): \(G\) systems with nonidentical components and their mean residual life functions ⋮ Mixture Representations of Reliability in Coherent Systems and Preservation Results Under Double Monitoring ⋮ ORDERING CONSECUTIVE k-OUT-OF-n:F SYSTEMS ⋮ Computations of Signatures of Coherent Systems with Five Components ⋮ On reliability analysis of consecutive \(k\)-out-of-\(n\) systems with arbitrarily dependent components. ⋮ Mean residual life of coherent systems consisting of multiple types of dependent components ⋮ Reliability Analysis of Coherent Systems with Exchangeable Components ⋮ The joint reliability signature of order statistics ⋮ Stochastic comparisons between lifetimes of reliability systems with exchangeable components ⋮ Stochastic modelling of operational quality of \(k\)-out-of-\(n\) systems ⋮ ON WEIGHTED K-OUT-OF-N SYSTEMS WITH STATISTICALLY DEPENDENT COMPONENT LIFETIMES ⋮ On the mean residual lifetime of~consecutive \(k\)-out-of-\(n\) systems ⋮ Mean residual life and inactivity time of a coherent system subjected to Marshall-Olkin type shocks ⋮ On residual lifetimes in sequential \((n - k + 1)\)-out-of-\(n\) systems ⋮ On computing signatures of coherent systems ⋮ On computing signatures of \(k\)-out-of-\(n\) system consisting of modules ⋮ Comparisons in the mean residual life order of coherent systems with identically distributed components ⋮ Some stochastic comparisons of conditional coherent systems ⋮ Ordering New Conditional Residual Lifetimes ofk-out-of-nSystems ⋮ On the mean residual life of a generalized k-out-of-n system ⋮ Multivariate stress-strength reliability model and its evaluation for coherent structures ⋮ Likelihood ratio ordering of order statistics, mixtures and systems ⋮ Ordered properties on the residual life and inactivity time of \((n-k+1)\)-out-of-\(n\) systems under double monitoring ⋮ Number of Working Components in Consecutivek-out-of-nSystem While It Is Working ⋮ Parameter Estimation for ak-out-of-n: F System ⋮ Consecutive k‐within‐m‐out‐of‐n:F system with exchangeable components ⋮ Dynamic signatures and their use in comparing the reliability of new and used systems ⋮ Mixture representations for the reliability of consecutive-\(k\) systems ⋮ The reliability of a generalized consecutive system ⋮ Generalized mixtures in reliability modelling: Applications to the construction of bathtub shaped hazard models and the study of systems ⋮ Consecutivek-Out-of-n:GSystem in Stress-Strength Setup ⋮ Moments of order statistics from DNID discrete random variables with application in reliability ⋮ Failure rates of consecutive \(k\)-out-of-\(n\) systems ⋮ Conditional residual lifetimes of coherent systems under double monitoring ⋮ Systems with Failure-Dependent Lifetimes of Components ⋮ MRL and MPL Functions of Parallel Systems with INID Components under Double Monitoring ⋮ Ordering conditional general coherent systems with exchangeable components ⋮ Mixture Representations of Residual Lifetimes of Used Systems ⋮ On Bivariate Signatures for Systems with Independent Modules

Cites Work

• Mean residual life functions of finite mixtures, order statistics and coherent systems
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• A note on comparisons among coherent systems with dependent components using signatures
• Lifetime distribution and estimation problems of consecutive \(k\)-out-of-\(n\):F systems
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• Hazard rate ordering of order statistics and systems
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