On the extension of signature-based representations for coherent systems with dependent non-exchangeable components

DOI10.1017/jpr.2020.20zbMath1464.60015OpenAlexW3042916662MaRDI QIDQ3299440

Juan Fernández-Sánchez, Jorge Navarro

Publication date: 22 July 2020

Published in: Journal of Applied Probability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/jpr.2020.20

zbMATH Keywords

copulastochastic orderssignature\(k\)-out-of-\(n\) systems

Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15) Reliability, availability, maintenance, inspection in operations research (90B25) Statistical block designs (62K10)

Related Items (3)

Preservation of distributional properties of component lifetimes by system lifetimes ⋮ Conditions on marginals and copula of component lifetimes for signature representation of system lifetime ⋮ Diagonal sections of copulas, multivariate conditional hazard rates and distributions of order statistics for minimally stable lifetimes

Cites Work

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• Sklar's theorem obtained via regularization techniques
• An introduction to copulas.
• Stochastic orders
• Reliability and expectation bounds for coherent systems with exchangeable components
• Stochastic comparisons of coherent systems
• Baire category results for exchangeable copulas
• Stochastic orders in reliability and risk. In honor of Professor Moshe Shaked. Based on the talks presented at the international workshop on stochastic orders in reliability and risk management, SORR2011, Xiamen, China, June 27--29, 2011
• A typical copula is singular
• Extremal properties of order statistic distributions for dependent samples with partially known multidimensional marginals
• System signatures and their applications in engineering reliability
• Properties of Coherent Systems with Dependent Components
• On the application and extension of system signatures in engineering reliability
• On Closure of the IFR Class Under Formation of Coherent Systems
• Effective procedure of verifying stochastic ordering of system lifetimes
• Preservation of the mean residual life order for coherent and mixed systems
• A note on necessary and sufficient conditions for ordering properties of coherent systems with exchangeable components
• Principles of Copula Theory
• Stochastic ordering properties for systems with dependent identically distributed components

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