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Author:

Tian, Ruiqin (Tian, Ruiqin.) | Xue, Liugen (Xue, Liugen.) (Scholars:薛留根) | Liu, Chunling (Liu, Chunling.)

Indexed by:

Scopus SCIE

Abstract:

In this paper, we focus on the variable selection for semiparametric varying coefficient partially linear models with longitudinal data. A new variable selection procedure is proposed based on the combination of the basis function approximations and quadratic inference functions. The proposed procedure simultaneously selects significant variables in the parametric components and the nonparametric components. With appropriate selection of the tuning parameters, we establish the consistency and asymptotic normality of the resulting estimators. Extensive Monte Carlo simulation studies are conducted to examine the finite sample performance of the proposed variable selection procedure. We further illustrate the proposed procedure by an application. (C) 2014 Elsevier Inc. All rights reserved.

Keyword:

Semiparametric varying coefficient partially linear models Longitudinal data Quadratic inference functions Variable selection

Author Community:

  • [ 1 ] [Tian, Ruiqin]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 ] [Liu, Chunling]Hong Kong Polytech Univ, Dept Appl Math, Hong Kong, Hong Kong, Peoples R China

Reprint Author's Address:

  • 薛留根

    [Xue, Liugen]Beijing Univ Technol, Coll Appl Sci, Beijing 100124, Peoples R China

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Source :

JOURNAL OF MULTIVARIATE ANALYSIS

ISSN: 0047-259X

Year: 2014

Volume: 132

Page: 94-110

1 . 6 0 0

JCR@2022

ESI Discipline: MATHEMATICS;

ESI HC Threshold:81

JCR Journal Grade:2

CAS Journal Grade:3

Cited Count:

WoS CC Cited Count: 23

SCOPUS Cited Count: 24

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 9

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