A counterexample concerning uniform ergodic theorems for a class of functions

DOI10.1016/0167-7152(94)00163-3zbMath0835.60025OpenAlexW2008335039WikidataQ125019311 ScholiaQ125019311MaRDI QIDQ1897079

Andrew B. Nobel

Publication date: 26 March 1996

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

Full work available at URL: https://doi.org/10.1016/0167-7152(94)00163-3

zbMATH Keywords

Glivenko-Cantelli classstationary ergodic processesVapnik-Chervonenkis class

Mathematics Subject Classification ID

Stationary stochastic processes (60G10) Strong limit theorems (60F15)

Related Items (4)

Ergodic theorems for extended real-valued random variables ⋮ A Strong Law of Large Numbers for Strongly Mixing Processes ⋮ Scenario approximation of robust and chance-constrained programs ⋮ Uniform convergence of Vapnik-Chervonenkis classes under ergodic sampling

Cites Work

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• The Glivenko-Cantelli problem
• Estimation of dependences based on empirical data. Transl. from the Russian by Samuel Kotz
• Nonparametric curve estimation from time series
• Decision theoretic generalizations of the PAC model for neural net and other learning applications
• A note on uniform laws of averages for dependent processes
• On the density of families of sets
• Learnability and the Vapnik-Chervonenkis dimension
• Automatic pattern recognition: a study of the probability of error
• Strong universal consistency of neural network classifiers
• On the Uniform Convergence of Relative Frequencies of Events to Their Probabilities

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