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Author:

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

Indexed by:

Scopus SCIE

Abstract:

In this very selective overview, we summarise the recent developments by our own and other, on the empirical likelihood in some nonparametric and semiparametric regression models. The models include the partially linear model, the single-index model, the partially linear single-index model, the varying coefficient model, and so on. The focus of this overview is to expatiate the adjustment and "bias correction" methodologies when Wilks' phenomenon does not hold. The adjustment or bias correction can make the limiting distributions tractable such that they can be directly used to construct the confidence regions of parameters of interest without the assistance of Monte Carlo approximation.

Keyword:

Adjustment Bias correction Confidence region Semiparametric regression models Empirical likelihood Wilks' phenomenon

Author Community:

  • [ 1 ] [Xue, Liugen]Beijing Univ Technol, Beijing, Peoples R China
  • [ 2 ] [Zhu, Lixing]Hong Kong Baptist Univ, Hong Kong, Hong Kong, Peoples R China

Reprint Author's Address:

  • [Zhu, Lixing]Hong Kong Baptist Univ, Hong Kong, Hong Kong, Peoples R China

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Source :

STATISTICS AND ITS INTERFACE

ISSN: 1938-7989

Year: 2012

Issue: 3

Volume: 5

Page: 367-378

0 . 8 0 0

JCR@2022

ESI Discipline: MATHEMATICS;

JCR Journal Grade:4

CAS Journal Grade:4

Cited Count:

WoS CC Cited Count: 2

SCOPUS Cited Count:

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 9

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