Two-Dimensional Signatures

DOI10.1239/jap/1339878795zbMath1242.90070OpenAlexW2066377796MaRDI QIDQ2897151

Yoseph Shpungin, I. B. Gertsbakh, Fabio L. Spizzichino

Publication date: 8 July 2012

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

Full work available at URL: https://projecteuclid.org/euclid.jap/1339878795

zbMATH Keywords

homogeneous polynomialtwo-dimensional signature\(G\)-series and \(G\)-parallel systemsmultistate recurrent systemtwo-dimensional anchor

Mathematics Subject Classification ID

Reliability, availability, maintenance, inspection in operations research (90B25) Applications of renewal theory (reliability, demand theory, etc.) (60K10)

Related Items (16)

Equivalency in joint signatures for binary/multi-state systems of different sizes ⋮ SIGNATURES OF MULTI-STATE SYSTEMS BASED ON A SERIES/PARALLEL/RECURRENT STRUCTURE OF MODULES ⋮ SIGNATURE-BASED INFORMATION MEASURES OF MULTI-STATE NETWORKS ⋮ A Note on the Mixture Representation of the Conditional Residual Lifetime of a Coherent System ⋮ On dependent multi-state semi-coherent systems based on multi-state joint signature ⋮ On the signature of complex system: a decomposed approach ⋮ Joint signature of two or more systems with applications to multistate systems made up of two-state components ⋮ Multi-state joint survival signature for multi-state systems with shared multi-state components ⋮ A multistate monotone system signature ⋮ On the multi-state signatures of ordered system lifetimes ⋮ Mixture Representations for the Joint Distribution of Lifetimes of two Coherent Systems with Shared Components ⋮ The failure probability of components in three-state networks with applications to age replacement policy ⋮ Comparisons of multi-state systems with binary components of different sizes ⋮ On the probabilistic meaning of copula-based extensions of fuzzy measures. Applications to target-based utilities and multi-state reliability systems ⋮ On Bivariate Signatures for Systems with Independent Modules ⋮ On the stochastic and dependence properties of the three-state systems

Cites Work

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• On computing signatures of coherent systems
• System signatures and their applications in engineering reliability
• Signatures of indirect majority systems
• Signatures of Coherent Systems Built with Separate Modules
• On the application and extension of system signatures in engineering reliability
• The Joint Signature of Coherent Systems with Shared Components
• On Closure of the IFR Class Under Formation of Coherent Systems
• Estimation of network reliability using graph evolution models
• Combinatorial approaches to Monte Carlo estimation of network lifetime distribution

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