• NEW ESTIMATION STRATEGY OF POPULATION MEAN USING KNOWN MEDIAN OF THE STUDY VARIABLE

S. K. YADAV, SURENDRA KUMAR*

Abstract


In the present paper, we have suggested a generalized ratio type estimator of population mean of study variable using known population median of study variable. Up to the first order of approximation, the expressions for the bias and mean squared error of the proposed estimator have been derived. The optimum value of the characterizing scalar has been obtained. The minimum value of the mean squared error of the proposed estimator has also been obtained for this optimum value of the characterizing scalar. The proposed estimator has been theoretically compared with the competing estimators, the mean per unit estimator, usual regression estimator of Watson [1937] and usual ratio of Cochran [1940] also with the Bahl and Tuteja [1991], Srivastava [1967], Reddy [1974], Kadilar [2016] and Subramani [2016] estimators. The theoretical findings are validated with the numerical illustrations and it has been shown that proposed estimator is better than the competing estimators as it has least mean square error.  


Keywords


Study variable, Bias, Ratio estimator, Mean squared error, Simple random sampling, Efficiency.

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