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作者:

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

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EI Scopus SCIE

摘要:

In this article, the generalized linear model for longitudinal data is studied. A generalized empirical likelihood method is proposed by combining generalized estimating equations and quadratic inference functions based on the working correlation matrix. It is proved that the proposed generalized empirical likelihood ratios are asymptotically chi-squared under some suitable conditions, and hence it can be used to construct the confidence regions of the parameters. In addition, the maximum empirical likelihood estimates of parameters are obtained, and their asymptotic normalities are proved. Some simulations are undertaken to compare the generalized empirical likelihood and normal approximation-based method in terms of coverage accuracies and average areas/lengths of confidence regions/intervals. An example of a real data is used for illustrating our methods.

关键词:

Confidence region Empirical likelihood Generalized linear model Longitudinal data Quadratic inference function

作者机构:

  • [ 1 ] [Tian, Ruiqin]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

通讯作者信息:

  • [Tian, Ruiqin]Beijing Univ Technol, Coll Appl Sci, Beijing 100124, Peoples R China

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来源 :

COMMUNICATIONS IN STATISTICS-THEORY AND METHODS

ISSN: 0361-0926

年份: 2014

期: 18

卷: 43

页码: 3893-3904

0 . 8 0 0

JCR@2022

ESI学科: MATHEMATICS;

ESI高被引阀值:56

JCR分区:4

中科院分区:4

被引次数:

WoS核心集被引频次: 2

SCOPUS被引频次: 3

ESI高被引论文在榜: 0 展开所有

万方被引频次:

中文被引频次:

近30日浏览量: 3

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