Consistent least squares nonparametric regression

DOI10.1016/0378-3758(87)90107-8zbMath0624.62040OpenAlexW1971253988MaRDI QIDQ578796

Paul Whitney

Publication date: 1987

Published in: Journal of Statistical Planning and Inference (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0378-3758(87)90107-8

zbMATH Keywords

Banach spacesSobolev spacesup-normderivativesalmost sure convergencenonparametric regressionHölder spaceleast squares estimatestrong consistency theorems

Mathematics Subject Classification ID

Nonparametric estimation (62G05) Linear inference, regression (62J99) General nonlinear regression (62J02)

Cites Work

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• Minimaxity of the method of regularization on stochastic processes
• Linear estimation for approximately linear models
• Smoothing noisy data with spline functions

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