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作者:

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

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EI Scopus SCIE

摘要:

This paper considers the problem of variance estimation for sparse ultra-high dimensional varying coefficient models. We first use B-spline to approximate the coefficient functions, and discuss the asymptotic behavior of a naive two-stage estimator of error variance. We also reveal that this naive estimator may significantly underestimate the error variance due to the spurious correlations, which are even higher for nonparametric models than linear models. This prompts us to propose an accurate estimator of the error variance by effectively integrating the sure independence screening and the refitted cross-validation techniques. The consistency and the asymptotic normality of the resulting estimator are established under some regularity conditions. The simulation studies are carried out to assess the finite sample performance of the proposed methods.

关键词:

Ultra-high dimensional data Sure independence screening Variance estimation Refitted cross-validation Varying coefficient model B-spline

作者机构:

  • [ 1 ] [Wang, Zhaoliang]Beijing Univ Technol, Coll Appl Sci, Beijing 100124, Peoples R China
  • [ 2 ] [Xue, Liugen]Beijing Univ Technol, Coll Appl Sci, Beijing 100124, Peoples R China
  • [ 3 ] [Wang, Zhaoliang]Henan Polytech Univ, Sch Math & Informat Sci, Jiaozuo, Henan, Peoples R China

通讯作者信息:

  • [Wang, Zhaoliang]Beijing Univ Technol, Coll Appl Sci, Beijing 100124, Peoples R China

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来源 :

COMMUNICATIONS IN STATISTICS-THEORY AND METHODS

ISSN: 0361-0926

年份: 2019

期: 5

卷: 48

页码: 1270-1283

0 . 8 0 0

JCR@2022

ESI学科: MATHEMATICS;

ESI高被引阀值:54

被引次数:

WoS核心集被引频次: 1

SCOPUS被引频次: 1

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:

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