Estimation of Population Mean Using Known Correlation Coefficient And Median

Abstract

The present paper deals with the two modified ratio estimators for estimation of population mean of the study variable using the linear combination of the known population values of the Correlation Coefficient and the Median of the auxiliary variable. The biases and the mean squared errors of the proposed estimators are derived and are compared with that of existing modified ratio estimators for certain natural populations. Further we have also derived the conditions for which the proposed estimators perform better than the existing modified ratio estimators. From the empirical study it is also observed that the proposed modified ratio estimators perform better than the existing modified ratio estimators.

Keywords

• Bias
• Class
• Mean squared error
• Natural populations
• Simple random sampling