ON THE ESTIMATION OF POPULATION MEANS AND RATIOS USING SUPPLEMENTARY INFORMATION

Abstract

Abstract In this paper we discuss the problem of estimating population means and ratios of population means using supplementary information on an auxiliary variable. Two classes of estimators are proposed, depending on two parameters. The bias and mean square error of each of the involved estimators is obtained to the first order of approximation. It is shown that, with a proper choice of the values for the parameters, the estimators are more efficient than the conventional estimators. Numerical examples are provided.