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Pseudo empirical likelihood method in the presence of missing data
Authors:M Rueda  J F Muñoz  Y G Berger  A Arcos  S Martínez
Institution:(1) Department of Statistics and Operational Research, University of Granada Campus de Fuentenueva, 18071 Granada, Spain;(2) The University of Reading, Applied Statistics, Whiteknights Road, Reading, RG6 6FN, UK;(3) Department of Statistics and Applied Mathematics, University of Almería, 04071 Almería, Spain
Abstract:In this paper, we propose an estimator for the population mean when some observations on the study and auxiliary variables are missing from the sample. The proposed estimator is valid for any unequal probability sampling design, and is based upon the pseudo empirical likelihood method. The proposed estimator is compared with other estimators in a simulation study.
Keywords:Hájek ratio estimator  Pseudo empirical likelihood estimators  Missing data  Weighted sample mean  Regression estimator
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