A bound on the expected maximal deviation of averages from their means.

DOI10.1016/S0167-7152(03)00002-6zbMath1101.62325OpenAlexW2037521338MaRDI QIDQ1423255

Michael Hamers, Michael Kohler

Publication date: 14 February 2004

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

Full work available at URL: https://doi.org/10.1016/s0167-7152(03)00002-6

zbMATH Keywords

choice of smoothing parameterMaximal deviations

Mathematics Subject Classification ID

Nonparametric regression and quantile regression (62G08) Inequalities; stochastic orderings (60E15)

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Cites Work

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• Probability inequalities for empirical processes and a law of the iterated logarithm
• Sharper bounds for Gaussian and empirical processes
• A distribution-free theory of nonparametric regression
• Weak convergence and empirical processes. With applications to statistics
• Probability Inequalities for Sums of Bounded Random Variables
• Convergence of stochastic processes

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