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Constructing an unbiased estimator of population mean in finite populations using auxiliary information
Authors:Derrick S. Tracy  Housila P. Singh  Rajesh Singh
Affiliation:(1) Department of Mathematics and Statistics, University of Windsor, Windsor, Ontario, Canada;(2) School of Studies in Statistics, Vikram University, Ujjain, M.P., India
Abstract:The objective of this paper is to construct an unbiased estimator (up to order 0(1/n)) of the population mean 
$$bar Y$$
of the study variatey which is more efficient than the sample mean 
$$bar y$$
of the ‘n’ obsrvedy-values. In particular, the unbiased estimators are discussed for the cases of positive and negative correlations of the study variatey and the auxiliary variatex.
Keywords:Unbiased estimators  finite population  mean square error  simple random sampling without replacement (SRSWOR)
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