A Class of Modified Linear Regression Type Ratio Estimators for Estimation of Population Mean using Coefficient of Variation and Quartiles of an Auxiliary Variable

Abstract

The present paper deals with a class of Modified Linear Regression Type Ratio Estimators for estimation of population mean of the study variable when the population coefficient of variation and quartiles of the auxiliary variable are known. The Bias and the Mean Squared Error of the proposed Estimators are derived and are compared with that of Simple Random Sampling With-Out Replacement (SRSWOR) sample mean, the Ratio Estimator and the existing Modified Ratio Estimators. As a result we have derived the conditions for which the proposed Estimators perform better than the other existing Estimators. Further, the performance of the proposed Estimators with that of the existing Estimators are assessed for a natural population. From the numerical study, it is observed that the proposed Modified Ratio Estimators perform better than the existing Estimators.