Upgraded family of estimators of population mean using known parameters of auxiliary and study variables

Abstract

This paper proposes an elevated family of estimators for the population mean of a primary variable using the known auxiliary information combined with the known median of the study variable under the simple random sampling scheme. Various existing estimators of population mean are the members of the proposed class. The bias and MSE of the proposed class are derived up to the first order of approximation. The minimum values of bias and MSE are obtained by optimising the characterising scalar. The bias and MSE of the suggested family have also been compared with that of existing estimators. Finally, we have suggested some new members of the proposed class, which are more efficient than the existing ones both theoretically and numerically. The empirical study has been done using R software for computing biases and the MSEs of the suggested and the competing estimators under the said sampling scheme.