On Efficient Ratio-Based and Product-Based Estimators for Population Mean Using Hierarchic Technique
Abstract
We have, in this paper, coined three estimators, namely, ratio-product, ratio-ratio and product-product estimators of the population mean using hierarchic estimation technique due to Agrawal and Sthapit (1997). Some distinguishing properties of the proposed estimators, up to first order of approximation, are observed. The theoretical conditions under which the proposed estimators are more efficient than their corresponding competing estimators, e.g. the usual unbiased mean per unit, ratio-cum-product, ratio-cum-ratio and product- cum-product estimators have been derived. Empirical illustrations based on real and artificial populations reveal that the proposed estimators are far superior to their respective competing estimators.
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