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March, 1990 Semiparametric Comparison of Regression Curves
W. Hardle, J. S. Marron
Ann. Statist. 18(1): 63-89 (March, 1990). DOI: 10.1214/aos/1176347493

Abstract

The comparison of nonparametric regression curves is considered. It is assumed that there are parametric (possibly nonlinear) transformations of the axes which map one curve into the other. Estimation and testing of the parameters in the transformations are studied. The rate of convergence is $n^{-1/2}$ although the nonparametric components of the model typically have a rate slower than that. A statistic is provided for testing the validity of a given completely parametric model.

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W. Hardle. J. S. Marron. "Semiparametric Comparison of Regression Curves." Ann. Statist. 18 (1) 63 - 89, March, 1990. https://doi.org/10.1214/aos/1176347493

Information

Published: March, 1990
First available in Project Euclid: 12 April 2007

zbMATH: 0703.62053
MathSciNet: MR1041386
Digital Object Identifier: 10.1214/aos/1176347493

Subjects:
Primary: 62G05
Secondary: 62G99

Rights: Copyright © 1990 Institute of Mathematical Statistics

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Vol.18 • No. 1 • March, 1990
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