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Estimating Central Subspaces via Inverse Third Moments

Xiangrong Yin and R. Dennis Cook
Biometrika
Vol. 90, No. 1 (Mar., 2003), pp. 113-125
Published by: Oxford University Press on behalf of Biometrika Trust
Stable URL: http://www.jstor.org/stable/30042023
Page Count: 13
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Estimating Central Subspaces via Inverse Third Moments
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Abstract

Modern graphical tools have enhanced our ability to learn many things from data directly. In recent years, dimension reduction has proven to be an effective tool for generating low-dimensional summary plots without appreciable loss of information. Some well-known inverse regression methods for dimension reduction such as sliced inverse regression (Li, 1991) and sliced average variance estimation (Cook & Weisberg, 1991) have been developed to estimate summary plots for regression and discriminant analysis. In this paper, we suggest a new method that makes use of inverse third moments. This method can find structure beyond that found by sliced inverse regression and sliced average variance estimation, particularly regression mixtures. Illustrative examples are presented.

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