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Author:

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

Indexed by:

Scopus SCIE

Abstract:

This article is concerned with estimations for longitudinal partial linear models with covariate that is measured with error. We propose a generalized empirical likelihood method by combining correction attenuation and quadratic inference functions. The method takes into account the within-subject correlation without involving direct estimation of nuisance parameters in the correlation matrix. We define a generalized empirical likelihood-based statistic for the regression coefficients and residual adjusted empirical likelihood for the baseline function. The empirical log-likelihood ratios are proven to be asymptotically chi-squared, and the corresponding confidence regions are then constructed. Compared with methods based on normal approximations, the generalized empirical likelihood does not require consistent estimators for the asymptotic variance and bias. Furthermore, a simulation study is conducted to evaluate the performance of the proposed method.

Keyword:

Generalized Empirical Likelihood Partially Linear Model. Measurement Error Confidence Region Longitudinal Data

Author Community:

  • [ 1 ] [Liu, Juanfang]Beijing Univ Technol, Coll Appl Sci, Beijing, Peoples R China
  • [ 2 ] [Xue, Liugen]Beijing Univ Technol, Coll Appl Sci, Beijing, Peoples R China
  • [ 3 ] [Liu, Juanfang]Henan Normal Univ, Coll Math & Informat Sci, Xinxiang, Henan, Peoples R China
  • [ 4 ] [Tian, Ruiqin]Zhejiang Agr & Forestry Univ, Dept Stat, Hangzhou, Zhejiang, Peoples R China

Reprint Author's Address:

  • [Liu, Juanfang]Beijing Univ Technol, Coll Appl Sci, Beijing, Peoples R China;;[Liu, Juanfang]Henan Normal Univ, Coll Math & Informat Sci, Xinxiang, Henan, Peoples R China

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Source :

HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS

ISSN: 1303-5010

Year: 2018

Issue: 4

Volume: 47

Page: 983-1001

0 . 8 0 0

JCR@2022

ESI Discipline: MATHEMATICS;

ESI HC Threshold:63

JCR Journal Grade:3

Cited Count:

WoS CC Cited Count: 1

SCOPUS Cited Count: 1

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 7

Affiliated Colleges:

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