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Bandwidth selection in robust smoothing 

Authors: Denis H. Y. Leungi a;  Francis H. C. Marriott b; Eden K. H. Wu a
Affiliations:   a The Chinese University of Hong Kong,
b University of Oxford,
DOI: 10.1080/10485259308832562
Publication Frequency: 8 issues per year
Published in: journal Journal of Nonparametric Statistics, Volume 2, Issue 4 1993 , pages 333 - 339
Formats available: PDF (English)
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Abstract

In robust smoothing of regression functions of the type ./GNST_A_8832562_O_XML_IMAGES/GNST_A_8832562_O_UM0001.gif , the theory in automatic bandwidth selection is still lacking. This paper tries to fill the gap by looking at the use of cross-validation methods in robust smoothing. Conjectures regarding the use of a class of robust cross-validation method are made. These are further complemented by examples, all of which showed favourably for the new method.
Keywords: Nonparametric regression; smoothing; kernel; bandwidth; robust smoothers; cross-validation; m-estimation
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