Improved Class of Chain Type Estimators for Product of Two Population Means Using Two Auxiliary Characters in The Presence of Non-Response

Abstract

An improved class of chain type estimators for product (P) of two population means using two auxiliary characters in the presence of non-response has been proposed and their properties are studied. The expressions for bias and mean square error of the proposed class of estimators for P have been obtained. The optimum values of , and have been obtained for the fixed cost and for the specified variance . The proposed class of estimators for P is found to be more efficient than the relevant estimators for fixed sample sizes and also for the optimum values of, and for fixed cost. For the specified variance , the expected cost incurred in the estimation of the proposed estimator is found to be minimum than the expected cost incurred in the relevant estimators. The theoretical as well as empirical studies have been conducted which shows the efficiency of the proposed class of estimators with respect to the relevant estimators.