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作者:

Zhang, Shen (Zhang, Shen.) | Zhao, Peixin (Zhao, Peixin.) | Li, Gaorong (Li, Gaorong.) (学者:李高荣) | Xu, Wangli (Xu, Wangli.)

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Scopus SCIE

摘要:

In this paper, we propose a nonparametric independence screening method for sparse ultra-high dimensional generalized varying coefficient models with longitudinal data. Our methods combine the ideas of sure independence screening (SIS) in sparse ultrahigh dimensional generalized linear models and varying coefficient models with the marginal generalized estimating equation (GEE) method, called NIS-GEE, considering both the marginal correlation between response and covariates, and the subject correlation for variable screening. The corresponding iterative algorithm is introduced to enhance the performance of the proposed NIS-GEE method. Furthermore it is shown that, under some regularity conditions, the proposed NIS-GEE method enjoys the sure screening properties. Simulation studies and a real data analysis are used to assess the performance of the proposed method. (C) 2018 Elsevier Inc. All rights reserved.

关键词:

Generalized estimating equation Generalized varying coefficient model Nonparametric independence screening Sure screening properties Ultra-high longitudinal data

作者机构:

  • [ 1 ] [Zhang, Shen]Beijing Univ Technol, Beijing Inst Sci & Engn Comp, Beijing 100124, Peoples R China
  • [ 2 ] [Li, Gaorong]Beijing Univ Technol, Beijing Inst Sci & Engn Comp, Beijing 100124, Peoples R China
  • [ 3 ] [Zhang, Shen]Beijing Univ Technol, Coll Appl Sci, Beijing 100124, Peoples R China
  • [ 4 ] [Zhao, Peixin]Chongqing Technol & Business Univ, Coll Math & Stat, Chongqing 400067, Peoples R China
  • [ 5 ] [Xu, Wangli]Renmin Univ China, Sch Stat, Ctr Appl Stat, Beijing 100872, Peoples R China

通讯作者信息:

  • [Zhao, Peixin]Chongqing Technol & Business Univ, Coll Math & Stat, Chongqing 400067, Peoples R China

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来源 :

JOURNAL OF MULTIVARIATE ANALYSIS

ISSN: 0047-259X

年份: 2019

卷: 171

页码: 37-52

1 . 6 0 0

JCR@2022

ESI学科: MATHEMATICS;

ESI高被引阀值:25

被引次数:

WoS核心集被引频次: 3

SCOPUS被引频次: 4

ESI高被引论文在榜: 0 展开所有

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中文被引频次:

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