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[期刊论文]

Variable selection in the partially linear errors-in-variables models for longitudinal data

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作者:

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

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摘要:

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.

关键词:

SCAD oracle estimating function errors-in-variables variable selection

作者机构:

  • [ 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

通讯作者信息:

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

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来源 :

ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES

ISSN: 0168-9673

年份: 2012

期: 4

卷: 28

页码: 769-780

0 . 8 0 0

JCR@2022

ESI学科: MATHEMATICS;

JCR分区:4

中科院分区:4

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