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作者:

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

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Scopus SCIE

摘要:

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.

关键词:

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

作者机构:

  • [ 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

通讯作者信息:

  • [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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来源 :

HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS

ISSN: 1303-5010

年份: 2018

期: 4

卷: 47

页码: 983-1001

0 . 8 0 0

JCR@2022

ESI学科: MATHEMATICS;

ESI高被引阀值:34

JCR分区:3

被引次数:

WoS核心集被引频次: 1

SCOPUS被引频次: 1

ESI高被引论文在榜: 0 展开所有

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中文被引频次:

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