Use of transformed auxiliary variable in estimating the finite population mean

For estimating the finite population mean (Y) over bar 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) over bar the ratio estimator (y) over bar(R) = (y) over bar (X) over bar/(x) over bar, SISODIA and DWIVEDI (1981) estimator (y) over bar(s) = (y) over bar((X) over bar + C-x)/((x) over bar + C-x) and SINGH and KAKRAN (1993) estimator (y) over bar(k) = y[(X) over bar + beta(2)(x)]/[(x) over bar + beta(2)(x)]. An empirical study has been carried out to demonstrate the superiority of the suggested estimator over the others.