Bounded influence regression using high breakdown scatter matrices
C. Croux, S. Aelst, and C. Dehon. Annals of the Institute of Statistical Mathematics, 55 (2):
265--285(June 2003)
Abstract
Abstract In this paper we estimate the parameters of a regression model using S-estimators of multivariate location and scatter. The
approach is proven to be Fisher-consistent, and the influence functions are derived. The corresponding asymptotic variancesare obtained and it is shown how they can be estimated in practice. A comparison with other recently proposed robust regressionestimators is made.
%0 Journal Article
%1 croux:2003
%A Croux, Christophe
%A Aelst, Stefan Van
%A Dehon, Catherine
%D 2003
%J Annals of the Institute of Statistical Mathematics
%K bounded-influence high-breakdown regression robust
%N 2
%P 265--285
%T Bounded influence regression using high breakdown scatter matrices
%U http://dx.doi.org/10.1007/BF02530499
%V 55
%X Abstract In this paper we estimate the parameters of a regression model using S-estimators of multivariate location and scatter. The
approach is proven to be Fisher-consistent, and the influence functions are derived. The corresponding asymptotic variancesare obtained and it is shown how they can be estimated in practice. A comparison with other recently proposed robust regressionestimators is made.
@article{croux:2003,
abstract = {Abstract In this paper we estimate the parameters of a regression model using S-estimators of multivariate location and scatter. The
approach is proven to be Fisher-consistent, and the influence functions are derived. The corresponding asymptotic variancesare obtained and it is shown how they can be estimated in practice. A comparison with other recently proposed robust regressionestimators is made.},
added-at = {2010-06-09T13:47:44.000+0200},
author = {Croux, Christophe and Aelst, Stefan Van and Dehon, Catherine},
biburl = {https://www.bibsonomy.org/bibtex/272e68b8f27b67956718a970f77628a03/vivion},
description = {SpringerLink - Journal Article},
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intrahash = {72e68b8f27b67956718a970f77628a03},
journal = {Annals of the Institute of Statistical Mathematics},
keywords = {bounded-influence high-breakdown regression robust},
month = {#jun#},
number = 2,
pages = {265--285},
timestamp = {2010-06-09T13:47:45.000+0200},
title = {Bounded influence regression using high breakdown scatter matrices},
url = {http://dx.doi.org/10.1007/BF02530499},
volume = 55,
year = 2003
}