Hierarchic predictive ratio-based and product-based estimators and their efficiency

M. C. Agrawal and A. B. Sthapit

Journal of Applied Statistics, 1997, vol. 24, issue 1, 97-104

Abstract: Invoking the predictive approach with a fixed population set-up, and employing initially the customary ratio and product estimators as potential predictors for the non-surveyed part of the population, we have generated sequences of ratio-based and product-based estimators. The proposed ratio-based and product-based estimators of order k are-under some practical conditions-found to be more efficient than the customary ratio and product estimators and the usual simple mean when k is chosen optimally. Under the optimal value of k, the kth-order ratio-based and product-based estimators are found to be as efficient as the linear regression estimator. We have used real population data to illustrate the efficacy of the proposed ratio-based and product-based estimators relative to the usual simple mean and the customary ratio and product estimators.

Date: 1997
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DOI: 10.1080/02664769723909

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