Bounding the expectation of the supremum of empirical processes indexed by Hölder classes

DOI10.3103/S1066530720010056zbMath1476.62040arXiv2003.13530OpenAlexW3198626295MaRDI QIDQ2239314

Nicolas Schreuder

Publication date: 3 November 2021

Published in: Mathematical Methods of Statistics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2003.13530

zbMATH Keywords

empirical processsample complexityHölder smoothnessWasserstein-1 distanceintegral probability metric

Mathematics Subject Classification ID

Order statistics; empirical distribution functions (62G30) Characterization and structure theory of statistical distributions (62E10) Foundations of stochastic processes (60G05)

Related Items (1)

Imaging conductivity from current density magnitude using neural networks*

Uses Software

• Wasserstein GAN

Cites Work

• Unnamed Item
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• On minimum Kantorovich distance estimators
• Bracketing metric entropy rates and empirical central limit theorems for function classes of Besov- and Sobolev-type
• Mathematical Foundations of Infinite-Dimensional Statistical Models
• High-Dimensional Probability
• The Speed of Mean Glivenko-Cantelli Convergence
• Introduction to nonparametric estimation

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