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Finding extrema and zeros in nonparametric regression when the data contains outliers 

Authors: D. H. Y. Leung a; F. H. C. Marriott a
Affiliation:   a Department of Statistics, University of Oxford,
DOI: 10.1080/10485259108832512
Publication Frequency: 8 issues per year
Published in: journal Journal of Nonparametric Statistics, Volume 1, Issue 1 & 2 1991 , pages 69 - 82
Formats available: PDF (English)
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Abstract

The estimation of extrema and zeros in robust nonparametric regression is investigated. Rates of weak uniform convergence of the estimates to the true extremum (or zero) are given. These rates are found to be comparable to the rates of convergence of the extremum and zero estimates given by Muumlller (1988, Chapter 8) in ordinary smoothing. Finally, asymptotic normality of the estimates is established.
Keywords: Nonparametric regression; robust smoother; kernel, bandwidth
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