Attainability of the Upper Bounds for the Mean Past Lifetime of Parallel System Components

DOI10.1080/03610920903180672zbMath1201.62114OpenAlexW2119084263MaRDI QIDQ3058412

Mohammad Zayed Raqab

Publication date: 22 November 2010

Published in: Communications in Statistics - Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03610920903180672

zbMATH Keywords

order statisticsSteffensen inequalityCauchy-Schwarz inequalityparallel systemMoriguti approximation method

Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15) Order statistics; empirical distribution functions (62G30) Characterization and structure theory of statistical distributions (62E10) Reliability and life testing (62N05)

Cites Work

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• Exact bounds for the expectations of order statistics from non-negative populations
• On the mean past lifetime of the components of a parallel system
• Bayesian inference based on partial monitoring of components with applications to preventive system maintenance
• A Modification of Schwarz's Inequality with Applications to Distributions
• Projecting statistical functionals

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