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Author:

Zhao, Peixin (Zhao, Peixin.) | Xue, Liugen (Xue, Liugen.) (Scholars:薛留根)

Indexed by:

Scopus SCIE

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.

Keyword:

Shrinkage estimation Semiparametric varying coefficient partially linear model Measurement errors Variable selection

Author Community:

  • [ 1 ] [Zhao, Peixin]Beijing Univ Technol, Coll Appl Sci, Beijing 100124, Peoples R China
  • [ 2 ] [Xue, Liugen]Beijing Univ Technol, Coll Appl Sci, Beijing 100124, Peoples R China
  • [ 3 ] [Zhao, Peixin]Hechi Univ, Dept Math, Guangxi Yizhou 546300, Peoples R China

Reprint Author's Address:

  • [Zhao, Peixin]Beijing Univ Technol, Coll Appl Sci, Beijing 100124, Peoples R China

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Source :

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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