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Abstract:
This paper focuses on the variable selections for semiparametric varying coefficient partially linear models when the covariates in the parametric and nonparametric components are all measured with errors. A bias-corrected variable selection procedure is proposed by combining basis function approximations with shrinkage estimations. With appropriate selection of the tuning parameters, the consistency of the variable selection procedure and the oracle property of the regularized estimators are established. A simulation study and a real data application are undertaken to evaluate the finite sample performance of the proposed method. (C) 2010 Elsevier Inc. All rights reserved.
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JOURNAL OF MULTIVARIATE ANALYSIS
ISSN: 0047-259X
Year: 2010
Issue: 8
Volume: 101
Page: 1872-1883
1 . 6 0 0
JCR@2022
ESI Discipline: MATHEMATICS;
JCR Journal Grade:2
CAS Journal Grade:3
Cited Count:
WoS CC Cited Count: 69
SCOPUS Cited Count: 74
ESI Highly Cited Papers on the List: 0 Unfold All
WanFang Cited Count:
Chinese Cited Count:
30 Days PV: 1
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