Arbeitspapier

Smoothed L-estimation of regression function

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.

Language
Englisch

Bibliographic citation
Series: SFB 373 Discussion Paper ; No. 2002,88

Classification
Wirtschaft
Subject
nonparametric regression
L-estimation
smoothed cumulative distribution function

Event
Geistige Schöpfung
(who)
Tamine, Julien
Čížek, Pavel
Härdle, Wolfgang
Event
Veröffentlichung
(who)
Humboldt University of Berlin, Interdisciplinary Research Project 373: Quantification and Simulation of Economic Processes
(where)
Berlin
(when)
2002

Handle
URN
urn:nbn:de:kobv:11-10049692
Last update
10.03.2025, 11:42 AM CET

Data provider

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Object type

  • Arbeitspapier

Associated

  • Tamine, Julien
  • Čížek, Pavel
  • Härdle, Wolfgang
  • Humboldt University of Berlin, Interdisciplinary Research Project 373: Quantification and Simulation of Economic Processes

Time of origin

  • 2002

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