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Author:

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

Indexed by:

Scopus SCIE

Abstract:

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.

Keyword:

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

Author Community:

  • [ 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

Reprint Author's Address:

  • 薛留根

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

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Source :

STATISTICS

ISSN: 0233-1888

Year: 2017

Issue: 5

Volume: 51

Page: 988-1005

1 . 9 0 0

JCR@2022

ESI Discipline: MATHEMATICS;

ESI HC Threshold:66

CAS Journal Grade:4

Cited Count:

WoS CC Cited Count: 2

SCOPUS Cited Count: 2

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 3

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