Lifetime distributions of consecutive-k-out-of-n: F systems

DOI10.1016/S0362-546X(97)00336-2zbMath0910.62089WikidataQ127152212 ScholiaQ127152212MaRDI QIDQ4378493

Katuomi Hirano, Sigeo Aki

Publication date: 22 April 1999

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

zbMATH Keywords

order statisticssystem reliabilitylifetime distributionsdependent componentsdiscrete distributions of order \(k\)

Mathematics Subject Classification ID

Exact distribution theory in statistics (62E15) Order statistics; empirical distribution functions (62G30) Reliability and life testing (62N05)

Related Items (8)

ORDERING CONSECUTIVE k-OUT-OF-n:F SYSTEMS ⋮ Comparisons of the expectations of system and component lifetimes in the failure dependent proportional hazard model ⋮ Sharp inequalities for quantiles of system lifetime distributions from failure-dependent proportional hazard model ⋮ STOCHASTIC COMPARISONS OF SYSTEMS BASED ON SEQUENTIAL ORDER STATISTICS VIA PROPERTIES OF DISTORTED DISTRIBUTIONS ⋮ Representations of component importance for coherent systems with exchangeable components ⋮ On total positivity of exchangeable random variables obtained by symmetrization, with applications to failure-dependent lifetimes ⋮ On unimodality of the lifetime distribution of coherent systems with failure-dependent component lifetimes ⋮ Load-Sharing Reliability Models with Different Component Sensitivities to Other Components’ Working States

Uses Software

• REDUCE

Cites Work

• Unnamed Item
• Lifetime distribution and estimation problems of consecutive \(k\)-out-of-\(n\):F systems
• A concept of generalized order statistics
• Distribution of time to failure of consecutive k-out-of-n:F systems
• Lifetime Distribution of Consecutive-k-out-of-n:F Systems With Exchangeable Lifetimes
• Failure Distributions of Consecutive-k-out-of-n:F Systems
• On the Consecutive-k-of-n:F System
• An explicit solution for the number of minimal p-cutsequences in a consecutive-k-out of-n:F system
• Distribution of the lifetime of consecutive k-within-m-out-of-n:F systems

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