JSM 2004 - Toronto

Abstract #300623

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Activity Number: 306
Type: Contributed
Date/Time: Wednesday, August 11, 2004 : 8:30 AM to 10:20 AM
Sponsor: Section on Nonparametric Statistics
Abstract - #300623
Title: Nonparametric Assessment of Dimension in a General Regression Problem
Author(s): Pilar Barrios and Santiago Velilla*+
Companies: Fundación Española de Ciencia y Tecnología and Universidad Carlos III de Madrid
Address: C/Madrid, 126, Getafe (Madrid), International, 8903, Spain
Keywords: dimension reduction subspace ; eigenvalues ; nonparametric regression estimator ; resampling ; sliced inverse regression (SIR) ; smoothing parameter
Abstract:

A method for assessing the dimension of a general regression problem is presented, based on a nonparametric estimator of the inverse mean subspace kernel matrix. The proposed approach is an alternative to the usual inference techniques based on a preliminary "slicing" of the values of the response variable.


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