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March, 1984 Consistency for Cross-Validated Nearest Neighbor Estimates in Nonparametric Regression
Ker-Chau Li
Ann. Statist. 12(1): 230-240 (March, 1984). DOI: 10.1214/aos/1176346403

Abstract

Under suitable conditions, we show that the cross-validated nearest neighbor estimates for the unknown smooth regression function in $R^p$ is asymptotically consistent.

Citation

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Ker-Chau Li. "Consistency for Cross-Validated Nearest Neighbor Estimates in Nonparametric Regression." Ann. Statist. 12 (1) 230 - 240, March, 1984. https://doi.org/10.1214/aos/1176346403

Information

Published: March, 1984
First available in Project Euclid: 12 April 2007

zbMATH: 0538.62030
MathSciNet: MR733510
Digital Object Identifier: 10.1214/aos/1176346403

Subjects:
Primary: 62G05

Keywords: consistency , cross-validation , nearest neighbor estimates , Nonparametric regression

Rights: Copyright © 1984 Institute of Mathematical Statistics

Vol.12 • No. 1 • March, 1984
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