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Author:

Wang, Zhaoliang (Wang, Zhaoliang.) | Xue, Liugen (Xue, Liugen.) (Scholars:薛留根)

Indexed by:

Scopus SCIE

Abstract:

In this paper, we consider variable selection procedure for the high dimensional partially linear varying coefficient models where the parametric part covariates are measured with additive errors. The penalized bias-corrected proffile least squares estimators are conducted, and their asymptotic properties are also studied under some regularity conditions. The rate of convergence and the asymptotic normality of the resulting estimates are established. We further demonstrate that, with proper choices of the penalty functions and the regularization parameter, the resulting estimates perform asymptotically as well as an oracle property. Choice of smoothing parameters is also discussed. Finite sample performance of the proposed variable selection procedures is assessed by Monte Carlo simulation studies.

Keyword:

Measurement error Variable selection Semiparametric models Local linear regression High dimensionality

Author Community:

  • [ 1 ] [Wang, Zhaoliang]Henan Polytech Univ, Sch Math & Informat Sci, Jiaozuo Shi, Henan, Peoples R China
  • [ 2 ] [Wang, Zhaoliang]Beijing Univ Technol, Coll Appl Sci, Beijing, Peoples R China
  • [ 3 ] [Xue, Liugen]Beijing Univ Technol, Coll Appl Sci, Beijing, Peoples R China

Reprint Author's Address:

  • [Wang, Zhaoliang]Henan Polytech Univ, Sch Math & Informat Sci, Jiaozuo Shi, Henan, Peoples R China;;[Wang, Zhaoliang]Beijing Univ Technol, Coll Appl Sci, Beijing, Peoples R China

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Source :

HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS

ISSN: 1303-5010

Year: 2019

Issue: 1

Volume: 48

Page: 213-229

0 . 8 0 0

JCR@2022

ESI Discipline: MATHEMATICS;

ESI HC Threshold:54

JCR Journal Grade:3

Cited Count:

WoS CC Cited Count: 1

SCOPUS Cited Count: 2

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 0

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