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.
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Tracy, D.S., Singh, H.P. & Singh, R. Constructing an unbiased estimator of population mean in finite populations using auxiliary information. Statistical Papers 40, 363–368 (1999). https://doi.org/10.1007/BF02929882
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DOI: https://doi.org/10.1007/BF02929882