Strong universal consistency of smooth kernel regression estimates

DOI10.1007/BF02915432zbMath1094.62052MaRDI QIDQ2495328

Harro Walk

Publication date: 5 July 2006

Published in: Annals of the Institute of Statistical Mathematics (Search for Journal in Brave)

zbMATH Keywords

coveringTauberian theoremEfron-Stein inequalitynonparametric regression estimationsquare integrabilitykernel estimate of Nadaraya and Watsonstrong and weak universal consistency

Mathematics Subject Classification ID

Nonparametric regression and quantile regression (62G08) Asymptotic properties of nonparametric inference (62G20)

Related Items (8)

The convergence rate of semi-supervised regression with quadratic loss ⋮ Rates of convergence for the \(k\)-nearest neighbor estimators with smoother regression functions ⋮ Rate of convergence of the density estimation of regression residual ⋮ Strongly consistent density estimation of the regression residual ⋮ Strong consistency of kernel estimates of regression function under dependence ⋮ Optimal global rates of convergence for nonparametric regression with unbounded data ⋮ On the strong universal consistency of local averaging regression estimates ⋮ Probability estimation with machine learning methods for dichotomous and multicategory outcome: Theory

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