An equivalence theorem for \(L_ 1\) convergence of the kernel regression estimate
type: Item
instance of: scholarly article
title: An equivalence theorem for \(L_ 1\) convergence of the kernel regression estimate
zbMATH Open document ID: 0686.62027
DOI: 10.1016/0378-3758(89)90040-2
author: Luc Devroye
author: Adam Krzyżak
published in: Journal of Statistical Planning and Inference
publication date: 1989-01-01T00:00:00Z
Mathematics Subject Classification ID: 62G05
Mathematics Subject Classification ID: 60F15
zbMATH DE Number: 4124803
zbMATH Keywords: equivalence of modes of convergence
zbMATH Keywords: L1-convergence
zbMATH Keywords: complete convergence
zbMATH Keywords: regression function
zbMATH Keywords: consistency
zbMATH Keywords: strong convergence
zbMATH Keywords: nonparametric regression
zbMATH Keywords: in probability
zbMATH Keywords: almost surely
zbMATH Keywords: kernel regression estimate
MaRDI profile type: Publication
full work available at URL: 0378-3758(89)90040-2
OpenAlex ID: W2065086209
cites work: Weighted sums of certain dependent random variables
cites work: Estimation Non-paramétrique de la Régression: Revue Bibliographique
cites work: On the almost everywhere convergence of nonparametric regression function estimates
cites work: The equivalence of weak, strong, and complete convergence in \(L_ 1\) for kernel density estimates
cites work: The kernel estimate is relatively stable
cites work: Q3746678
cites work: Q3336497
cites work: Distribution-free consistency results in nonparametric discrimination and regression function estimation
cites work: Q4048405
cites work: Distribution-free pointwise consistency of kernel regression estimate
cites work: Q3928056
cites work: Probability Inequalities for Sums of Bounded Random Variables
cites work: The rates of convergence of kernel regression estimates and classification rules
cites work: Distribution-free consistency of a nonparametric kernel regression estimate and classification
cites work: Q5509408
cites work: Remarks on Non-Parametric Estimates for Density Functions and Regression Curves
cites work: Consistent window estimation in nonparametric regression
cites work: Optimal rates of convergence for nonparametric estimators
cites work: Some Results on the Complete and Almost Sure Convergence of Linear Combinations of Independent Random Variables and Martingale Differences
cites work: Q5510038
Recommended article: Necessary conditions of \(L_ 1\)-convergence of kernel regression estimators
Recommended article: Q3970694
Recommended article: Q4242553
Recommended article: Q5203503
Recommended article: On the almost everywhere properties of the kernel regression estimate
Recommended article: The pointwise rate of convergence of the kernel regression estimate
Recommended article: Strong convergence of kernel estimates of nonparametric regression functions
description: scientific article; zbMATH DE number 4124803