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Author:

Yang, Yi-ping (Yang, Yi-ping.) | Xue, Liu-gen (Xue, Liu-gen.) (Scholars:薛留根) | Cheng, Wei-hu (Cheng, Wei-hu.) (Scholars:程维虎)

Indexed by:

Scopus SCIE CSCD

Abstract:

This paper proposes a new approach for variable selection in partially linear errors-in-variables (EV) models for longitudinal data by penalizing appropriate estimating functions. We apply the SCAD penalty to simultaneously select significant variables and estimate unknown parameters. The rate of convergence and the asymptotic normality of the resulting estimators are established. Furthermore, with proper choice of regularization parameters, we show that the proposed estimators perform as well as the oracle procedure. A new algorithm is proposed for solving penalized estimating equation. The asymptotic results are augmented by a simulation study.

Keyword:

SCAD oracle estimating function errors-in-variables variable selection

Author Community:

  • [ 1 ] [Yang, Yi-ping]Chongqing Technol & Business Univ, Coll Math & Stat, Chongqing 400067, Peoples R China
  • [ 2 ] [Xue, Liu-gen]Beijing Univ Technol, Dept Appl Math, Beijing 100124, Peoples R China
  • [ 3 ] [Cheng, Wei-hu]Beijing Univ Technol, Dept Appl Math, Beijing 100124, Peoples R China

Reprint Author's Address:

  • [Yang, Yi-ping]Chongqing Technol & Business Univ, Coll Math & Stat, Chongqing 400067, Peoples R China

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Source :

ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES

ISSN: 0168-9673

Year: 2012

Issue: 4

Volume: 28

Page: 769-780

0 . 8 0 0

JCR@2022

ESI Discipline: MATHEMATICS;

JCR Journal Grade:4

CAS Journal Grade:4

Cited Count:

WoS CC Cited Count: 0

SCOPUS Cited Count:

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 6

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