Lifetime distribution and estimation problems of consecutive \(k\)-out-of-\(n\):F systems

DOI10.1007/BF00049298zbMath0857.62094MaRDI QIDQ1817418

Sigeo Aki, Katuomi Hirano

Publication date: 6 March 1997

Published in: Annals of the Institute of Statistical Mathematics (Search for Journal in Brave)

zbMATH Keywords

reliabilityexponential distributionasymptotic efficiencyWeibull distributionmoment estimatorlifetime distributionPareto distributionsexplicit formulafailure timeconsecutive-\(k\)-out-of-\(n:F\) systemdiscrete distributions of order \(k\)linear combination of distributions of order statistics

Mathematics Subject Classification ID

Queueing theory (aspects of probability theory) (60K25) Reliability and life testing (62N05) Applications of queueing theory (congestion, allocation, storage, traffic, etc.) (60K30)

Related Items (9)

On reliability analysis of consecutive \(k\)-out-of-\(n\) systems with arbitrarily dependent components. ⋮ Estimation of parameters of component lifetime distribution in a coherent system ⋮ On the mean residual lifetime of~consecutive \(k\)-out-of-\(n\) systems ⋮ Lifetime distributions of consecutive-k-out-of-n: F systems ⋮ Number of Working Components in Consecutivek-out-of-nSystem While It Is Working ⋮ Parameter Estimation for ak-out-of-n: F System ⋮ Distributions of numbers of runs and scans on directed acyclic graphs with generation ⋮ Estimates based on sequential order statistics with the two-parameter Pareto distribution ⋮ Mean Residual Lifetimes of Consecutive-k-out-of-n Systems

Cites Work

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