transformation. It has been shown that the modified estimators are more efficient than the
sample mean estimator, usual ratio estimator, Sisodia and Dwivedi's (1981) estimator and
Upadhyaya and Singh's (1999) estimator at their optimum conditions. Empirical illustrations
are also given for examining the merits of the proposed estimators. Following Kadilar and
Cingi (2003) the work has been extended to stratified random sampling, and the same data …