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Author:

Du, Jiang (Du, Jiang.) (Scholars:杜江) | Zhang, Zhongzhan (Zhang, Zhongzhan.) (Scholars:张忠占) | Sun, Zhimeng (Sun, Zhimeng.)

Indexed by:

Scopus SCIE

Abstract:

In this paper, we propose a variable selection procedure for partially linear varying coefficient model under quantile loss function with adaptive Lasso penalty. The functional coefficients are estimated by B-spline approximations. The proposed procedure simultaneously selects significant variables and estimates unknown parameters. The major advantage of the proposed procedures over the existing ones is easy to implement using existing software, and it requires no specification of the error distributions. Under the regularity conditions, we show that the proposed procedure can be as efficient as the Oracle estimator, and derive the optimal convergence rate of the functional coefficients. A simulation study and a real data application are undertaken to assess the finite sample performance of the proposed variable selection procedure.

Keyword:

Quantile regression adaptive Lasso variable selection B-spline

Author Community:

  • [ 1 ] [Du, Jiang]Beijing Univ Technol, Coll Appl Sci, Beijing 100124, Peoples R China
  • [ 2 ] [Zhang, Zhongzhan]Beijing Univ Technol, Coll Appl Sci, Beijing 100124, Peoples R China
  • [ 3 ] [Sun, Zhimeng]Cent Univ Finance & Econ, Sch Stat, Beijing 100081, Peoples R China

Reprint Author's Address:

  • 杜江

    [Du, Jiang]Beijing Univ Technol, Coll Appl Sci, Beijing 100124, Peoples R China

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Source :

INTERNATIONAL JOURNAL OF BIOMATHEMATICS

ISSN: 1793-5245

Year: 2013

Issue: 3

Volume: 6

2 . 2 0 0

JCR@2022

ESI Discipline: BIOLOGY & BIOCHEMISTRY;

JCR Journal Grade:4

CAS Journal Grade:4

Cited Count:

WoS CC Cited Count: 8

SCOPUS Cited Count: 7

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 6

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