AGING PROPERTIES OF SEQUENTIAL ORDER STATISTICS

DOI10.1017/S026996481100012XzbMath1238.90047MaRDI QIDQ2884248

Marco Burkschat, Jorge Navarro

Publication date: 24 May 2012

Published in: Probability in the Engineering and Informational Sciences (Search for Journal in Brave)

Mathematics Subject Classification ID

Order statistics; empirical distribution functions (62G30) Reliability, availability, maintenance, inspection in operations research (90B25) Sequential statistical analysis (62L10) Reliability and life testing (62N05)

Related Items (12)

Inference in a model of successive failures with shape-adjusted hazard rates ⋮ Univariate and multivariate stochastic orderings of residual lifetimes of live components in sequential (𝑛-𝑟+ 1)-out-of-𝑛 systems ⋮ Reliability modeling of coherent systems with shared components based on sequential order statistics ⋮ Sequential order statistics from dependent random variables ⋮ Modeling lifetime of sequential r-out-of-n systems with independent and heterogeneous components ⋮ On the reversed hazard rate of sequential order statistics ⋮ STOCHASTIC COMPARISONS OF SYSTEMS BASED ON SEQUENTIAL ORDER STATISTICS VIA PROPERTIES OF DISTORTED DISTRIBUTIONS ⋮ Asymptotic behavior of the hazard rate in systems based on sequential order statistics ⋮ Representations of component importance for coherent systems with exchangeable components ⋮ A residual inaccuracy measure based on the relevation transform ⋮ Dynamic Signatures of Coherent Systems Based on Sequential Order Statistics ⋮ Estimation in a Model of Sequential Order Statistics with Ordered Hazard Rates

Cites Work

• Unnamed Item
• Dynamic multivariate aging notions in relability theory
• Order restricted inference for sequential \(k\)-out-of-\(n\) systems
• Some properties of the minimum and the maximum of random variables with joint logconcave distributions
• Log-concavity of generalized order statistics
• Nonparametric inference for sequential \(k\)-out-of-\(n\) systems
• Multivariate increasing failure rate average distributions
• Logconcavity versus logconvexity: A complete characterization
• Sequential order statistics and \(k\)-out-of-\(n\) systems with sequentially adjusted failure rates
• Marginal distributions of sequential and generalized order statistics
• Multivariate aging properties of epoch times of nonhomogeneous processes
• Likelihood ratio ordering of order statistics, mixtures and systems
• NONHOMOGENEOUS POISSON PROCESSES AND LOGCONCAVITY
• On distributions Of generalized order statistics
• MULTIVARIATE STOCHASTIC COMPARISONS OF SEQUENTIAL ORDER STATISTICS
• A note on hazard rates of order statistics
• INTRINSIC AGING AND CLASSES OF NONPARAMETRIC DISTRIBUTIONS
• Closure properties of the relevation transform*
• Some results on the relative ageing of two life distributions
• PRESERVATION OF PROPERTIES UNDER MIXTURE
• Relative Aging of Distributions
• Coherent systems based on sequential order statistics

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