(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 of the study variatey which is more efficient than the sample mean 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.