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作者:

Tian, Ruiqin (Tian, Ruiqin.) | Xue, Liugen (Xue, Liugen.) (学者:薛留根)

收录:

Scopus SCIE

摘要:

In this paper, empirical likelihood inference for longitudinal data within the framework of partial linear regression models are investigated. The proposed procedures take into consideration the correlation within groups without involving direct estimation of nuisance parameters in the correlation matrix. The empirical likelihood method is used to estimate the regression coefficients and the baseline function, and to construct confidence intervals. A nonparametric version of Wilk's theorem for the limiting distribution of the empirical likelihood ratio is derived. Compared with methods based on normal approximations, the empirical likelihood does not require consistent estimators for the asymptotic variance and bias. The finite sample behaviour of the proposed method is evaluated with simulation and illustrated with an AIDS clinical trial data set.

关键词:

62G05 62G20 confidence region empirical likelihood Longitudinal data maximum empirical likelihood estimator partial linear model

作者机构:

  • [ 1 ] [Tian, Ruiqin]Zhejiang Agr & Forestry Univ, Dept Stat, Hangzhou, Zhejiang, Peoples R China
  • [ 2 ] [Tian, Ruiqin]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:

  • 薛留根

    [Xue, Liugen]Beijing Univ Technol, Coll Appl Sci, Beijing, Peoples R China

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来源 :

STATISTICS

ISSN: 0233-1888

年份: 2017

期: 5

卷: 51

页码: 988-1005

1 . 9 0 0

JCR@2022

ESI学科: MATHEMATICS;

ESI高被引阀值:39

中科院分区:4

被引次数:

WoS核心集被引频次: 2

SCOPUS被引频次: 2

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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