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Author:

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

Indexed by:

Scopus SCIE

Abstract:

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.

Keyword:

partially linear model longitudinal data empirical likelihood confidence region

Author Community:

  • [ 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

Reprint Author's Address:

  • 薛留根

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

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Source :

SCIENCE IN CHINA SERIES A-MATHEMATICS

ISSN: 1006-9283

Year: 2008

Issue: 1

Volume: 51

Page: 115-130

JCR Journal Grade:4

Cited Count:

WoS CC Cited Count: 19

SCOPUS Cited Count: 21

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 12

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