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Author:

Du, Jiang (Du, Jiang.) (Scholars:杜江) | Zhang, Zhongzhan (Zhang, Zhongzhan.) (Scholars:张忠占) | Xie, Tianfa (Xie, Tianfa.)

Indexed by:

SSCI EI Scopus SCIE

Abstract:

In this article, we study model selection and model averaging in quantile regression. Under general conditions, we develop a focused information criterion and a frequentist model average estimator for the parameters in quantile regression model, and examine their theoretical properties. The new procedures provide a robust alternative to the least squares method or likelihood method, and a major advantage of the proposed procedures is that when the variance of random error is infinite, the proposed procedure works beautifully while the least squares method breaks down. A simulation study and a real data example are presented to show that the proposed method performs well with a finite sample and is easy to use in practice.

Keyword:

Quantile regression Focused information criterion Primary 62F35 Model uncertainty Secondary 62E20 Model selection

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 ] [Xie, Tianfa]Beijing Univ Technol, Coll Appl Sci, Beijing 100124, Peoples R China

Reprint Author's Address:

  • 张忠占

    [Zhang, Zhongzhan]Beijing Univ Technol, Coll Appl Sci, Beijing 100124, Peoples R China

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Source :

COMMUNICATIONS IN STATISTICS-THEORY AND METHODS

ISSN: 0361-0926

Year: 2013

Issue: 20

Volume: 42

Page: 3716-3734

0 . 8 0 0

JCR@2022

ESI Discipline: MATHEMATICS;

JCR Journal Grade:4

CAS Journal Grade:4

Cited Count:

WoS CC Cited Count: 4

SCOPUS Cited Count: 5

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 9

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