Empirical process methods for classical fiber bundles

DOI10.1016/0304-4149(93)90042-3zbMath0764.60005OpenAlexW1989417894MaRDI QIDQ1208938

D. Gary Harlow, Joseph E. Yukich

Publication date: 16 May 1993

Published in: Stochastic Processes and their Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0304-4149(93)90042-3

zbMATH Keywords

weak convergencemetric entropyVapnik-Chervonenkis classbundles of parallel fibersrandom load-strain functions

Mathematics Subject Classification ID

Convergence of probability measures (60B10)

Cites Work

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• Corrections to Central limit theorems for empirical measures
• A central limit theorem under metric entropy with \(L_ 2\) bracketing
• The asymptotic distribution of the strength of a series-parallel system with equal load-sharing
• Probabilistic inter-fiber dependence and the asymptotic strength distribution of classic fiber bundles
• Central limit theorems for empirical measures
• The maximum of a Gaussian process whose mean path has a maximum, with an application to the strength of bundles of fibres
• The asymptotic strength distribution of a general fiber bundle
• The statistical theory of the strength of bundles of threads. I
• Convergence of stochastic processes

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