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作者:

Li, Gaorong (Li, Gaorong.) (学者:李高荣) | Lian, Heng (Lian, Heng.) | Feng, Sanying (Feng, Sanying.) | Zhu, Lixing (Zhu, Lixing.)

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摘要:

We consider the problem of variable selection for the generalized linear models (GLMs) with longitudinal data. An automatic variable selection procedure is developed using smooth-threshold generalized estimating equations (SGEE). The proposed procedure automatically eliminates inactive predictors by setting the corresponding parameters to be zero, and simultaneously estimates the nonzero regression coefficients by solving the SGEE. The proposed method shares some of the desired features of existing variable selection methods: the resulting estimator enjoys the oracle property; the proposed procedure avoids the convex optimization problem and is flexible and easy to implement. Moreover, we propose a penalized weighted deviance criterion for a data-driven choice of the tuning parameters. Simulation studies are carried out to assess the performance of SGEE, and a real dataset is analyzed for further illustration. (C) 2012 Elsevier B.V. All rights reserved.

关键词:

Automatic variable selection Generalized estimating equations Generalized linear model Longitudinal data Oracle property

作者机构:

  • [ 1 ] [Li, Gaorong]Beijing Univ Technol, Coll Appl Sci, Beijing 100124, Peoples R China
  • [ 2 ] [Feng, Sanying]Beijing Univ Technol, Coll Appl Sci, Beijing 100124, Peoples R China
  • [ 3 ] [Lian, Heng]Nanyang Technol Univ, Div Math Sci, SPMS, Singapore 639798, Singapore
  • [ 4 ] [Zhu, Lixing]Hong Kong Baptist Univ, Dept Math, Hong Kong, Hong Kong, Peoples R China

通讯作者信息:

  • 李高荣

    [Li, Gaorong]Beijing Univ Technol, Coll Appl Sci, Beijing 100124, Peoples R China

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来源 :

COMPUTATIONAL STATISTICS & DATA ANALYSIS

ISSN: 0167-9473

年份: 2013

卷: 61

页码: 174-186

1 . 8 0 0

JCR@2022

ESI学科: MATHEMATICS;

ESI高被引阀值:64

JCR分区:2

中科院分区:2

被引次数:

WoS核心集被引频次: 20

SCOPUS被引频次: 23

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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