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Entropy conditions for \(L_{r}\)-convergence of empirical processes

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Publication:1016138
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DOI10.1007/s10444-008-9072-9zbMath1170.60004OpenAlexW1993177744WikidataQ60700499 ScholiaQ60700499MaRDI QIDQ1016138

Massimiliano Pontil, Ernesto De Vito, Andrea Caponnetto

Publication date: 4 May 2009

Published in: Advances in Computational Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10444-008-9072-9


zbMATH Keywords

Empirical processesRademacher averagesGlivenko-Cantelli classesUniform entropy


Mathematics Subject Classification ID

Processes with independent increments; Lévy processes (60G51) Gaussian processes (60G15) Convergence of probability measures (60B10)




Cites Work

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  • Weak convergence and empirical processes. With applications to statistics
  • Sous-espaces d'espaces vectoriels topologiques et noyaux associés. (Noyaux reproduisants.)
  • Necessary and Sufficient Conditions for the Uniform Convergence of Means to their Expectations
  • Uniform Central Limit Theorems
  • Scale-sensitive dimensions, uniform convergence, and learnability
  • On the Uniform Convergence of Relative Frequencies of Events to Their Probabilities


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