Mathematical modeling study demonstrates superior precision of exponential ratio and product estimators for finite population mean estimation, indicating improved efficiency over traditional methods.
This paper proposes new ratio and product type estimators for estimating the mean of the finite population using information on single auxiliary variable. The bias and mean square error of these estimators have been obtained. These estimators are compared for their precision with usual mean per unit, ratio and product estimators and are found to be more efficient in many practical situations. Further, it is shown that these estimators reduce to regression estimator.
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Bahl et al. (1991) studied this question.
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