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Author:

Xue, Dong (Xue, Dong.) | Xue, Liugen (Xue, Liugen.) (Scholars:薛留根) | Cheng, Weihu (Cheng, Weihu.) (Scholars:程维虎)

Indexed by:

Scopus SCIE

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.

Keyword:

Missing response data Confidence region Regression coefficients Generalized linear model Empirical likelihood

Author Community:

  • [ 1 ] [Xue, Dong]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
  • [ 3 ] [Cheng, Weihu]Beijing Univ Technol, Coll Appl Sci, Beijing 100124, Peoples R China

Reprint Author's Address:

  • 薛留根

    [Xue, Liugen]Beijing Univ Technol, Coll Appl Sci, Beijing 100124, Peoples R China

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Source :

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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