Upper bounds for errors of estimators in a problem of nonparametric regression: the adaptive case and the case of unknown measure \(\rho _X\)

DOI10.1134/S0001434609110108zbMath1182.62086MaRDI QIDQ845198

Yuri V. Malykhin

Publication date: 5 February 2010

Published in: Mathematical Notes (Search for Journal in Brave)

zbMATH Keywords

least-squares methodadaptive estimatornonparametric regressioncombinatorial dimensionregression functionBernstein's inequalitymarginal measure

Mathematics Subject Classification ID

Nonparametric regression and quantile regression (62G08) Inequalities; stochastic orderings (60E15) Nonparametric estimation (62G05)

Cites Work

• Combinatorics of random processes and sections of convex bodies
• Entropy and the combinatorial dimension
• A distribution-free theory of nonparametric regression
• Approximation methods for supervised learning
• Approximation in learning theory
• On the mathematical foundations of learning

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