Open Access
December, 1989 Nonparametric Estimation of a Regression Function
Prabir Burman, Keh-Wei Chen
Ann. Statist. 17(4): 1567-1596 (December, 1989). DOI: 10.1214/aos/1176347382

Abstract

A data dependent method of estimating a regression function is proposed here. The model is allowed to be heteroscedastic. Applications to piecewise polynomial, spline, orthogonal series, kernel and nearest neighbor methods are discussed.

Citation

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Prabir Burman. Keh-Wei Chen. "Nonparametric Estimation of a Regression Function." Ann. Statist. 17 (4) 1567 - 1596, December, 1989. https://doi.org/10.1214/aos/1176347382

Information

Published: December, 1989
First available in Project Euclid: 12 April 2007

zbMATH: 0744.62054
MathSciNet: MR1026300
Digital Object Identifier: 10.1214/aos/1176347382

Subjects:
Primary: 62G05
Secondary: 62J05

Keywords: asymptotic optimality , data dependent method , Nonparametric regression

Rights: Copyright © 1989 Institute of Mathematical Statistics

Vol.17 • No. 4 • December, 1989
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