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

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

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• 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

This page was built for publication: Entropy conditions for \(L_{r}\)-convergence of empirical processes