Enhancing ratio estimators for estimating population mean using maximum value of auxiliary variable

Abstract

This article proposes some newly modified ratio estimators for the estimation of population mean of the study variable by incorporating the maximum value of the auxiliary variable. The expressions of the bias and mean squared error were derived. The conditions in which the suggested estimators have minimum values of mean squared error in comparison to the existing estimators were also derived. An empirical and simulation study was also conducted. From the empirical and simulation study, it was found that the suggested estimators perform more efficiently as compared to the existing estimators considered in this study.