Consistency of a numerical approximation to the first principal component projection pursuit estimator

We generalize to functional data, the approach given by Croux and Ruiz-Gazen (1996) to compute robust projection-pursuit principal direction estimators, allowing also for smoothness in the estimators. Consistency of the approximated first principal direction estimator is derived. © 2014 Elsevier B.V...

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Autores principales: Bali, J.L., Boente, G.
Formato: JOUR
Materias:
Fisher-consistency
Functional principal components
Outliers
Projection-pursuit
Robust estimation
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_01677152_v94_n_p181_Bali
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
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spelling todo:paper_01677152_v94_n_p181_Bali2023-10-03T15:05:16Z Consistency of a numerical approximation to the first principal component projection pursuit estimator Bali, J.L. Boente, G. Fisher-consistency Functional principal components Outliers Projection-pursuit Robust estimation We generalize to functional data, the approach given by Croux and Ruiz-Gazen (1996) to compute robust projection-pursuit principal direction estimators, allowing also for smoothness in the estimators. Consistency of the approximated first principal direction estimator is derived. © 2014 Elsevier B.V. Fil:Bali, J.L. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:Boente, G. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_01677152_v94_n_p181_Bali
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic Fisher-consistency
Functional principal components
Outliers
Projection-pursuit
Robust estimation
spellingShingle Fisher-consistency
Functional principal components
Outliers
Projection-pursuit
Robust estimation
Bali, J.L.
Boente, G.
Consistency of a numerical approximation to the first principal component projection pursuit estimator
topic_facet Fisher-consistency
Functional principal components
Outliers
Projection-pursuit
Robust estimation
description We generalize to functional data, the approach given by Croux and Ruiz-Gazen (1996) to compute robust projection-pursuit principal direction estimators, allowing also for smoothness in the estimators. Consistency of the approximated first principal direction estimator is derived. © 2014 Elsevier B.V.
format JOUR
author Bali, J.L.
Boente, G.
author_facet Bali, J.L.
Boente, G.
author_sort Bali, J.L.
title Consistency of a numerical approximation to the first principal component projection pursuit estimator
title_short Consistency of a numerical approximation to the first principal component projection pursuit estimator
title_full Consistency of a numerical approximation to the first principal component projection pursuit estimator
title_fullStr Consistency of a numerical approximation to the first principal component projection pursuit estimator
title_full_unstemmed Consistency of a numerical approximation to the first principal component projection pursuit estimator
title_sort consistency of a numerical approximation to the first principal component projection pursuit estimator
url http://hdl.handle.net/20.500.12110/paper_01677152_v94_n_p181_Bali
work_keys_str_mv AT balijl consistencyofanumericalapproximationtothefirstprincipalcomponentprojectionpursuitestimator
AT boenteg consistencyofanumericalapproximationtothefirstprincipalcomponentprojectionpursuitestimator
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