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Smoothed L-estimation of regression function

Julien Tamine, Pavel Cizek and Wolfgang Härdle

No 2002,88, SFB 373 Discussion Papers from Humboldt University of Berlin, Interdisciplinary Research Project 373: Quantification and Simulation of Economic Processes

Abstract: The Nadaraya-Watson estimator of regression is known to be highly sensitive to the presence of outliers in the sample. A possible way of robustication consists in using local L-estimates of regression. Whereas the local L-estimation is traditionally done using an empirical conditional distribution function, we propose to use instead a smoothed conditional distribution function. We show that this smoothed L-estimation approach provides computational as well as statistical finite sample improvements. The asymptotic distribution of the estimator is derived under mild Ø-mixing conditions.

Keywords: nonparametric regression; L-estimation; smoothed cumulative distribution function (search for similar items in EconPapers)
Date: 2002
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Related works:
Journal Article: Smoothed L-estimation of regression function (2008) Downloads
Working Paper: Smoothed L-estimation of Regression Function (2006) Downloads
Working Paper: Smoothed L-estimation of Regression Function (2006) Downloads
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