Bounds for the mean residual life function of a \(k\)-out-of-\(n\) system

DOI10.1007/s00184-010-0307-7zbMath1226.62100OpenAlexW1989478013MaRDI QIDQ649104

Tomasz Rychlik, Mohammad Zayed Raqab

Publication date: 30 November 2011

Published in: Metrika (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00184-010-0307-7

zbMATH Keywords

characterizationmean residual life functionCauchy--Schwarz inequalitymonotone approximation method

Mathematics Subject Classification ID

Related Items (6)

Reliability function of k-out-of-n system equipped with two cold standby components ⋮ On the mean residual life of a \(k\)-out-of-\(n:G\) system with a single cold standby component ⋮ Bounds on the mean residual lifetime of progressive type II right censored order statistics ⋮ Some new bounds for moment generating functions of various life distributions using mean residual life functions ⋮ Relations for product moments and covariances of \(k\)th records from discrete distributions ⋮ Evaluations of the mean residual lifetime of an \(m\)-out-of-\(n\) system

Cites Work

• Closure of the NBUE and DMRL classes under formation of parallel systems
• Exact bounds for the expectations of order statistics from non-negative populations
• On the behaviour of some new ageing properties based upon the residual life of k-out-of-n systems
• Some new approaches to probability distributions
• Aging properties of the residual life length ofk-out-of-n systems with independent but non-identical components
• A Note on the Mean Residual Life Function of a Parallel System
• A Modification of Schwarz's Inequality with Applications to Distributions

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