Almost Unbiased Ratio Estimator Using the Coefficient of variation of unknown auxiliary variable

Abstract

Sisodia el at (1981) proposed a modified ratio estimator of population mean when the information on theauxiliary is known. This estimator is biased but with less mean square error compared to the classical ratioestimator. However, the information on the auxiliary variable may not be available in all cases. In this paper,double sampling strategy has been suggested to obtain the information on the auxiliary variable and then thealmost unbiased ratio estimator of population mean using coefficient of variation x C ˆhas been proposed. Tojudge the merits of the proposed estimator over other estimators an empirical study is also carried out.Keywords: Population mean, Coefficient of variation, Double sampling, Bias and Mean squared error.