JSM 2005 - Toronto

Abstract #302794

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Legend: = Applied Session, = Theme Session, = Presenter
Activity Number: 430
Type: Invited
Date/Time: Wednesday, August 10, 2005 : 2:00 PM to 3:50 PM
Sponsor: IMS
Abstract - #302794
Title: Square-root N Consistent and Exhaustive Estimation of Dimension Reduction Space
Author(s): Bing Li*+
Companies: The Pennsylvania State University
Address: 326 Thomas Building , University Park, PA, 16802,
Keywords:
Abstract:

In this talk, I will introduce a unified approach to study the degree to which a dimension reduction estimator exhausts the whole dimension reduction space. This approach will be applied to study several well-known estimators as well as the recently developed contour-regression techniques. Broadly speaking, among the existing dimension reduction methods in the literature, those with square-root of n convergence rate do not necessarily exhaust the dimension reduction space---or at least whether it does is not yet well understood. Those that are known to exhaust the dimension reduction space converge at a slower speed than square root n. Thus, this work is an attempt to fill in this gap of understanding. I also will use datasets to demonstrate the importance of exhaustive estimation in applications.


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Revised March 2005