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Author:

Zhao, Peixin (Zhao, Peixin.) | Xue, Liugen (Xue, Liugen.) (Scholars:薛留根)

Indexed by:

EI Scopus SCIE

Abstract:

In this article, empirical likelihood inferences for semiparametric varying-coefficient partially linear models with longitudinal data are investigated. We propose a groupwise empirical likelihood procedure to handle the inter-series dependence of the longitudinal data. By using residual-adjustment, an empirical likelihood ratio function for the nonparametric component is constructed, and a nonparametric version Wilks' phenomenons is proved. Compared with methods based on normal approximations, the empirical likelihood does not require consistent estimators for the asymptotic variance and bias. A simulation study is undertaken to assess the finite sample performance of the proposed confidence regions.

Keyword:

Semiparametric varying-coefficient partially linear model Empirical likelihood Longitudinal data

Author Community:

  • [ 1 ] [Zhao, Peixin]Beijing Univ Technol, Coll Appl Sci, Beijing 100124, Peoples R China
  • [ 2 ] [Xue, Liugen]Beijing Univ Technol, Coll Appl Sci, Beijing 100124, Peoples R China
  • [ 3 ] [Zhao, Peixin]Hechi Univ, Dept Math, Yizhou, Guangxi, Peoples R China

Reprint Author's Address:

  • [Zhao, Peixin]Beijing Univ Technol, Coll Appl Sci, Beijing 100124, Peoples R China

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Source :

COMMUNICATIONS IN STATISTICS-THEORY AND METHODS

ISSN: 0361-0926

Year: 2010

Issue: 11

Volume: 39

Page: 1898-1914

0 . 8 0 0

JCR@2022

ESI Discipline: MATHEMATICS;

JCR Journal Grade:4

CAS Journal Grade:4

Cited Count:

WoS CC Cited Count: 24

SCOPUS Cited Count: 24

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 7

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