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作者:

Wang, Zhaoliang (Wang, Zhaoliang.) | Xue, Liugen (Xue, Liugen.) (学者:薛留根)

收录:

Scopus SCIE

摘要:

In this paper, we consider variable selection procedure for the high dimensional partially linear varying coefficient models where the parametric part covariates are measured with additive errors. The penalized bias-corrected proffile least squares estimators are conducted, and their asymptotic properties are also studied under some regularity conditions. The rate of convergence and the asymptotic normality of the resulting estimates are established. We further demonstrate that, with proper choices of the penalty functions and the regularization parameter, the resulting estimates perform asymptotically as well as an oracle property. Choice of smoothing parameters is also discussed. Finite sample performance of the proposed variable selection procedures is assessed by Monte Carlo simulation studies.

关键词:

High dimensionality Local linear regression Measurement error Semiparametric models Variable selection

作者机构:

  • [ 1 ] [Wang, Zhaoliang]Henan Polytech Univ, Sch Math & Informat Sci, Jiaozuo Shi, Henan, Peoples R China
  • [ 2 ] [Wang, Zhaoliang]Beijing Univ Technol, Coll Appl Sci, Beijing, Peoples R China
  • [ 3 ] [Xue, Liugen]Beijing Univ Technol, Coll Appl Sci, Beijing, Peoples R China

通讯作者信息:

  • [Wang, Zhaoliang]Henan Polytech Univ, Sch Math & Informat Sci, Jiaozuo Shi, Henan, Peoples R China;;[Wang, Zhaoliang]Beijing Univ Technol, Coll Appl Sci, Beijing, Peoples R China

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来源 :

HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS

ISSN: 1303-5010

年份: 2019

期: 1

卷: 48

页码: 213-229

0 . 8 0 0

JCR@2022

ESI学科: MATHEMATICS;

ESI高被引阀值:25

JCR分区:3

被引次数:

WoS核心集被引频次: 1

SCOPUS被引频次: 2

ESI高被引论文在榜: 0 展开所有

万方被引频次:

中文被引频次:

近30日浏览量: 2

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