Some remarks on the ergodic theorem for \(U\)-statistics

DOI10.5802/CRMATH.494arXiv2302.04539OpenAlexW4322217664MaRDI QIDQ6122532

Dalibor Volný, Herold G. Dehling, Davide Giraudo

Publication date: 1 March 2024

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2302.04539

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Ergodic theorems, spectral theory, Markov operators (37A30)

Cites Work

• Consistency of the Takens estimator for the correlation dimension
• The law of large numbers for \(U\)-statistics under absolute regularity
• Dependent central limit theorems and invariance principles
• The Large-Sample Power of Tests Based on Permutations of Observations
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