The central limit theorem for \(U\)-processes indexed by Hölder's functions

DOI10.1016/0167-7152(94)90234-8zbMath0808.60030OpenAlexW1998046675MaRDI QIDQ1332863

Miguel A. Arcones

Publication date: 15 March 1995

Published in: Statistics \& Probability Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-7152(94)90234-8

zbMATH Keywords

empirical processes\(U\)-processes\(U\)-statistics

Mathematics Subject Classification ID

Asymptotic distribution theory in statistics (62E20) Central limit and other weak theorems (60F05) Limit theorems for vector-valued random variables (infinite-dimensional case) (60B12)

Related Items (3)

Bracketing metric entropy rates and empirical central limit theorems for function classes of Besov- and Sobolev-type ⋮ Weak convergence of stochastic processes indexed by smooth functions ⋮ Uniform convergence in some limit theorems for multiple particle systems

Cites Work

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• Limit theorems for \(U\)-processes
• Some limit theorems for empirical processes (with discussion)
• Empirical processes indexed by Lipschitz functions
• Asymptotic distribution of symmetric statistics
• Limits of canonical \(U\)-processes and \(B\)-valued \(U\)-statistics
• A characterization of maximal ideals in commutative Banach algebras
• The Speed of Mean Glivenko-Cantelli Convergence
• A Class of Statistics with Asymptotically Normal Distribution

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