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Abstract:
The paper uses the empirical likelihood method to study the construction of confidence intervals and regions for regression coefficients and response mean in generalized linear models with missing response. By using the inverse selection probability weighted imputation technique, the proposed empirical likelihood ratios are asymptotically chi-squared. Our approach is to directly calibrate the empirical likelihood ratio, which is called as a bias-correction method. Also, a class of estimators for the parameters of interest is constructed, and the asymptotic distributions of the proposed estimators are obtained. A simulation study indicates that the proposed methods are comparable in terms of coverage probabilities and average lengths/areas of confidence intervals/regions. An example of a real data set is used for illustrating our methods. (C) 2011 Elsevier B.V. All rights reserved.
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JOURNAL OF STATISTICAL PLANNING AND INFERENCE
ISSN: 0378-3758
Year: 2011
Issue: 6
Volume: 141
Page: 2007-2020
0 . 9 0 0
JCR@2022
ESI Discipline: MATHEMATICS;
JCR Journal Grade:3
CAS Journal Grade:3
Cited Count:
WoS CC Cited Count: 10
SCOPUS Cited Count: 11
ESI Highly Cited Papers on the List: 0 Unfold All
WanFang Cited Count:
Chinese Cited Count:
30 Days PV: 2
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