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March, 1980 Consistent Window Estimation in Nonparametric Regression
C. Spiegelman, J. Sacks
Ann. Statist. 8(2): 240-246 (March, 1980). DOI: 10.1214/aos/1176344950

Abstract

Stone proved that nearest neighbor estimates of a nonparametric regression function are "universally" consistent. We show that the same holds for window estimates, and we obtain a rate of convergence under some restrictions.

Citation

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C. Spiegelman. J. Sacks. "Consistent Window Estimation in Nonparametric Regression." Ann. Statist. 8 (2) 240 - 246, March, 1980. https://doi.org/10.1214/aos/1176344950

Information

Published: March, 1980
First available in Project Euclid: 12 April 2007

zbMATH: 0432.62066
MathSciNet: MR560726
Digital Object Identifier: 10.1214/aos/1176344950

Keywords: 6215 , 6240 , Empirical Bayes , Nonlinear regression

Rights: Copyright © 1980 Institute of Mathematical Statistics

Vol.8 • No. 2 • March, 1980
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