On constructing almost unbiased estimators of finite population mean using transformed auxiliary variable

This paper is intended as an investigation of constructing almost unbiased estimators of finite population mean by suitably combining a set of transformed estimators. A generalization of Tracy, Singh and Singh (1999) estimator is suggested, and, to the first degree of approximation, each member of the proposed class is as efficient as the usual regression estimator. Further, it is proved that Reddy (1973) estimator is also a particular case of the proposed class. To the second degree of approximation, a new almost unbiased estimator is established. Moreover, an empirical study is carried out in order to understand better the performance of the new estimator compared to the usual unbiased (y) over bar, ratio (y) over bar (n) and Tracy et al. (1999) estimators.