Use of Transformed Auxiliary Variable in Estimating the Finite Population Mean

Abstract

For estimating the finite population mean Y- of the study character y, an estimator using a transformed auxiliary variable has been defined. The bias and mean-squared error (MSE) of the proposed estimator have been obtained. The regions of preference have been obtained under which it is better than usual unbiased estimator y-, the ratio estimator y-R = y-X-/x-, Sisodia and Dwivedi (1981) estimator y-s = y-(X- + Cx)/(x- + Cx) and Singh and Kakran (1993) estimator y-k = y[X- + β2(x)]/[x- + β2(x)]. An empirical study has been carried out to demonstrate the superiority of the suggested estimator over the others.