Title

A Note On Shrinkage Sliced Inverse Regression

Keywords

Garotte; Lasso; Shrinkage estimator; Sliced inverse regression; Sufficient dimension reduction

Abstract

We employ Lasso shrinkage within the context of sufficient dimension reduction to obtain a shrinkage sliced inverse regression estimator, which provides easier interpretations and better prediction accuracy without assuming a parametric model. The shrinkage sliced inverse regression approach can be employed for both single-index and multiple-index models. Simulation studies suggest that the new estimator performs well when its tuning parameter is selected by either the Bayesian information criterion or the residual information criterion. © 2005 Biometrika Trust.

Publication Date

3-1-2005

Publication Title

Biometrika

Volume

92

Issue

1

Number of Pages

242-247

Document Type

Article

Personal Identifier

scopus

DOI Link

https://doi.org/10.1093/biomet/92.1.242

Socpus ID

15844375310 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/15844375310

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