The Kruskal-Katona Theorem and a Characterization of System Signatures

DOI10.1239/jap/1437658612zbMath1360.94305arXiv1208.4702OpenAlexW1496139778MaRDI QIDQ2949851

Alessandro D'Andrea, Luca de Sanctis

Publication date: 2 October 2015

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

Full work available at URL: https://arxiv.org/abs/1208.4702

zbMATH Keywords

reliabilitysignaturesimplicial complexes

Mathematics Subject Classification ID

Cryptography (94A60) Combinatorial probability (60C05)

Related Items (8)

ON EXTROPY PROPERTIES OF MIXED SYSTEMS ⋮ The joint reliability signature of order statistics ⋮ Conditions on unimodality and logconcavity for densities of coherent systems with an application to Bernstein operators ⋮ Preservation of distributional properties of component lifetimes by system lifetimes ⋮ The joint signature of parallel systems for different permutations of failure times ⋮ Some properties of the cumulative residual entropy of coherent and mixed systems ⋮ On unimodality of the lifetime distribution of coherent systems with failure-dependent component lifetimes ⋮ Reliability, signature, and relative quality functions of systems under time‐homogeneous load‐sharing models

Cites Work

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• System signatures and their applications in engineering reliability
• Signatures of indirect majority systems
• On the Number of Component Failures in Systems Whose Component Lives are Exchangeable
• Computations of Signatures of Coherent Systems with Five Components

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