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作者:

Xue LiuGen (Xue LiuGen.) (学者:薛留根) | Zhu LiXing (Zhu LiXing.)

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Scopus SCIE

摘要:

A partially linear model with longitudinal data is considered, empirical likelihood to inference for the regression coefficients and the baseline function is investigated, the empirical log-likelihood ratios is proven to be asymptotically chi-squared, and the corresponding confidence regions for the parameters of interest are then constructed. Also by the empirical likelihood ratio functions, we can obtain the maximum empirical likelihood estimates of the regression coefficients and the baseline function, and prove the asymptotic normality. The numerical results are conducted to compare the performance of the empirical likelihood and the normal approximation-based method, and a real example is analysed.

关键词:

confidence region empirical likelihood longitudinal data partially linear model

作者机构:

  • [ 1 ] [Xue LiuGen]Beijing Univ Technol, Coll Appl Sci, Beijing 100022, Peoples R China
  • [ 2 ] [Zhu LiXing]Hong Kong Baptist Univ, Dept Math, Hong Kong, Hong Kong, Peoples R China

通讯作者信息:

  • 薛留根

    [Xue LiuGen]Beijing Univ Technol, Coll Appl Sci, Beijing 100022, Peoples R China

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来源 :

SCIENCE IN CHINA SERIES A-MATHEMATICS

ISSN: 1006-9283

年份: 2008

期: 1

卷: 51

页码: 115-130

JCR分区:4

被引次数:

WoS核心集被引频次: 18

SCOPUS被引频次: 20

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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