Estimation of mean, ratio and product using auxiliary information in the presence of measurement errors in sample surveys

For estimating the mean, ratio and product we have considered the estimation of general parameter R(α)(formula presented) µY1 ≠ 0) using the information on an auxiliary variable X whose population mean µx is assumed to be known, in the presence of measurement errors, where µY0 and µY1 are the population means of the study variables Y0 and Y1 respectively; a being a scalar takes values,1 (for population ratio R =µY0=µY1), -1 (for population product P = µY0µY1), and 0 (for population mean µY0). A class of estimators for estimating the general parameter R(α) has been defined and asymptotic expressions for its bias and mean squared error (MSE) have been obtained. A comparative study has been made among the proposed estimators and the conventional estimators Numerical illustration is given in support of the present study. © 2010 Taylor & Francis Group, LLC. All rights reserved.