Stochastic Comparison of Residual and Past Lifetimes of (n − k + 1)-Out-of-nSystems with Dependent Components

DOI10.1080/03610926.2011.606484zbMath1282.60025OpenAlexW2134053593MaRDI QIDQ2839078

E. T. Salehi, Mohammad Hossein Alamatsaz, Mohsen Rezapour

Publication date: 4 July 2013

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

Full work available at URL: https://doi.org/10.1080/03610926.2011.606484

zbMATH Keywords

order statisticsreliabilityArchimedean copuladependence structure

Mathematics Subject Classification ID

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

Related Items (7)

On properties of progressively type-II censored order statistics arising from dependent and non-identical random variables ⋮ On reliability analysis of consecutive \(k\)-out-of-\(n\) systems with arbitrarily dependent components. ⋮ On properties of dependent progressively type-II censored order statistics ⋮ Stochastic comparisons on conditional residual lifetime and inactivity time of coherent systems with exchangeable components ⋮ Stochastic comparison of lifetimes of two \((n - k + 1)\)-out-of-\(n\) systems with heterogeneous dependent components ⋮ Discussion of “Birnbaum‐Saunders distribution: A review of models, analysis, and applications” ⋮ The inactivity time of exchangeable components of \(k\)-out-of-\(n\) structures

Cites Work

• Mean residual life functions of finite mixtures, order statistics and coherent systems
• Ordering conditional lifetimes of coherent systems
• A study on the mean past lifetime of the components of \((n - k + 1)\)-out-of-\(n\) system at the system level
• The hazard rate and the reversed hazard rate orders, with applications to order statistics
• Stochastic comparisons and properties of conditional generalized order statistics
• On the mean past lifetime of the components of a parallel system
• Stochastic Comparison on General Inactivity Time and General Residual Life ofk-Out-of-nSystems
• ON RESIDUAL LIFETIMES OF k-OUT-OF-n SYSTEMS WITH NONIDENTICAL COMPONENTS
• Conditional Ordering ofk-out-of-nSystems with Independent But Nonidentical Components

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