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Abstract:
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.
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Source :
COMMUNICATIONS IN STATISTICS-THEORY AND METHODS
ISSN: 0361-0926
Year: 2014
Issue: 18
Volume: 43
Page: 3893-3904
0 . 8 0 0
JCR@2022
ESI Discipline: MATHEMATICS;
ESI HC Threshold:81
JCR Journal Grade:4
CAS Journal Grade:4
Cited Count:
WoS CC Cited Count: 3
SCOPUS Cited Count: 3
ESI Highly Cited Papers on the List: 0 Unfold All
WanFang Cited Count:
Chinese Cited Count:
30 Days PV: 9
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