Use of Auxiliary Information in Estimating the Finite Population Mean in Survey Sampling

This paper considers the problem of estimating the mean μY of a finite population of the study variable Y using information on an auxiliary variable X. Motivated by Singh and Ruiz Espejo two classes of estimators (product-to-product and ratio-to-ratio) are proposed and their properties under large sample approximation are derived. Double sampling versions of the suggested classes of estimators are also presented. Numerical studies are used to demonstrate the performance of the suggested estimators compared with other estimators.