Ordering and aging properties of systems with dependent components governed by the Archimedean copula

DOI10.1017/s0269964821000425zbMath1516.90019OpenAlexW3200575174MaRDI QIDQ6162781

Nil Kamal Hazra, Unnamed Author

Publication date: 16 June 2023

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

Full work available at URL: https://doi.org/10.1017/s0269964821000425

zbMATH Keywords

stochastic orderscoherent systemArchimedean copula\(r\)-out-of-\(n\) systemstochastic agings

Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15) Reliability, availability, maintenance, inspection in operations research (90B25)

Cites Work

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• Preservation of stochastic orders under the formation of generalized distorted distributions. Applications to coherent systems
• Ordering properties of order statistics from random variables of Archimedean copulas with applications
• Comparisons of coherent systems using stochastic precedence
• On stochastic comparisons of minimum order statistics from the location-scale family of distributions
• Hazard rate comparison of parallel systems with heterogeneous gamma components
• An introduction to copulas.
• Multivariate Archimedean copulas, \(d\)-monotone functions and \(\ell _{1}\)-norm symmetric distributions
• Likelihood ratio order of the second order statistic from independent heterogeneous exponential random variables
• Preservation of some partial orderings under the formation of coherent systems
• Stochastic comparisons of parallel systems of heterogeneous exponential components
• A note on closure of the ILR and DLR classes under formation of coherent systems
• Stochastic comparisons of coherent systems
• Hazard rate and reversed hazard rate orders on extremes of heterogeneous and dependent random variables
• Comparisons of coherent systems under the time-transformed exponential model
• Stochastic comparisons of series and parallel systems with dependent heterogeneous extended exponential components under Archimedean copula
• On stochastic comparisons of maximum order statistics from the location-scale family of distributions
• Stochastic and ageing properties of coherent systems with dependent identically distributed components
• System signatures and their applications in engineering reliability
• Weibull distribution: some stochastic comparisons results
• Orderings of coherent systems with randomized dependent components
• Stochastic comparisons of residual lifetimes and inactivity times of coherent systems with dependent identically distributed components
• Some new results on stochastic comparisons of parallel systems
• ON PARTIAL ORDERINGS BETWEEN COHERENT SYSTEMS WITH DIFFERENT STRUCTURES
• On comparing coherent systems with heterogeneous components
• Stochastic Comparisons of Residual Lifetimes and Inactivity Times of Coherent Systems
• Stochastic comparisons on sample extremes of dependent and heterogenous observations
• Right Spread Order of the Second-Order Statistic from Heterogeneous Exponential Random Variables
• On relative ageing of coherent systems with dependent identically distributed components
• Comparison of order statistics in a random sequence to the same statistics with i.i.d. variables
• Applications of the hazard rate ordering in reliability and order statistics
• Some results on the relative ageing of two life distributions
• Order Statistics
• STOCHASTIC COMPARISONS ON RESIDUAL LIFE AND INACTIVITY TIME OF SERIES AND PARALLEL SYSTEMS
• Univariate and multivariate stochastic orderings of residual lifetimes of live components in sequential (𝑛-𝑟+ 1)-out-of-𝑛 systems
• Stochastic comparisons of coherent systems under different random environments
• ON RELATIVE AGING COMPARISONS OF COHERENT SYSTEMS WITH IDENTICALLY DISTRIBUTED COMPONENTS
• Comparing lifetimes of coherent systems with dependent components operating in random environments
• On Relative Reversed Hazard Rate Order
• ORDERING PROPERTIES OF ORDER STATISTICS FROM HETEROGENEOUS POPULATIONS: A REVIEW WITH AN EMPHASIS ON SOME RECENT DEVELOPMENTS
• Stochastic ordering properties for systems with dependent identically distributed components
• Stochastic Orderings and Ageing Properties of Residual Life Lengths of Live Components in (n-k+1)-Out-Of-n Systems
• STOCHASTIC COMPARISONS OF PARALLEL SYSTEMS WHEN COMPONENTS HAVE PROPORTIONAL HAZARD RATES
• Some results on majorization and their applications

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