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Author:

Xue, Liugen (Xue, Liugen.) (Scholars:薛留根) | Zhu, Lixing (Zhu, Lixing.)

Indexed by:

Scopus SCIE

Abstract:

A semiparametric regression model for longitudinal data is considered. The empirical likelihood method is used to estimate the regression coefficients and the baseline function, and to construct confidence regions and intervals. It is proved that the maximum empirical likelihood estimator of the regression coefficients achieves asymptotic efficiency and the estimator of the baseline function attains asymptotic normality when a bias correction is made. Two calibrated empirical likelihood approaches to inference for the baseline function are developed. We propose a groupwise empirical likelihood procedure to handle the inter-series dependence for the longitudinal semiparametric regression model, and employ bias correction to construct the empirical likelihood ratio functions for the parameters of interest. This leads us to prove a nonparametric version of Wilks' theorem. Compared with methods based on normal approximations, the empirical likelihood does not require consistent estimators for the asymptotic variance and bias. A simulation compares the empirical likelihood and normal-based methods in terms of coverage accuracies and average areas/lengths of confidence regions/intervals.

Keyword:

longitudinal data confidence region maximum empirical likelihood estimator empirical likelihood semiparametric regression model

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 :

BIOMETRIKA

ISSN: 0006-3444

Year: 2007

Issue: 4

Volume: 94

Page: 921-937

2 . 7 0 0

JCR@2022

ESI Discipline: MATHEMATICS;

JCR Journal Grade:2

Cited Count:

WoS CC Cited Count: 107

SCOPUS Cited Count: 111

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 7

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