Open Access
Februrary 2003 Model selection in nonparametric regression
Marten Wegkamp
Ann. Statist. 31(1): 252-273 (Februrary 2003). DOI: 10.1214/aos/1046294464

Abstract

Model selection using a penalized data-splitting device is studied in the context of nonparametric regression. Finite sample bounds under mild conditions are obtained. The resulting estimates are adaptive for large classes of functions.

Citation

Download Citation

Marten Wegkamp. "Model selection in nonparametric regression." Ann. Statist. 31 (1) 252 - 273, Februrary 2003. https://doi.org/10.1214/aos/1046294464

Information

Published: Februrary 2003
First available in Project Euclid: 26 February 2003

zbMATH: 1019.62037
MathSciNet: MR1962506
Digital Object Identifier: 10.1214/aos/1046294464

Subjects:
Primary: 60F05 , 60F17
Secondary: 60G15 , 62E20

Keywords: adaptive estimation , ‎classification‎ , data-splitting , Least squares estimation , Model selection , penalized least squares , VC-major classes

Rights: Copyright © 2003 Institute of Mathematical Statistics

Vol.31 • No. 1 • Februrary 2003
Back to Top