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Model selection and estimation in high dimensional regression models with group SCAD

Xiao Guo, Hai Zhang, Yao Wang, Jiang-lun Wu Orcid Logo

Statistics & Probability Letters, Volume: 103, Pages: 86 - 92

Swansea University Author: Jiang-lun Wu Orcid Logo

DOI (Published version): 10.1016/j.spl.2015.04.017

Abstract

In this paper, we study the oracle property of the group SCAD under high dimensional settings where the number of groups can grow at a certain polynomial rate. Numerical studies are presented to demonstrate the merit of the group SCAD.

Published in: Statistics & Probability Letters
Published: 2015
Online Access: http://www.ams.org/leavingmsn?url=http://dx.doi.org/10.1016/j.spl.2015.04.017
URI: https://cronfa.swan.ac.uk/Record/cronfa22316
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Abstract: In this paper, we study the oracle property of the group SCAD under high dimensional settings where the number of groups can grow at a certain polynomial rate. Numerical studies are presented to demonstrate the merit of the group SCAD.
Keywords: Group selection; high dimension, oracle property, group SCAD, sparsity.
College: Faculty of Science and Engineering
Start Page: 86
End Page: 92