An Improved Estimator of Population Mean Using Power Transformation

摘要

This article presents a modified ratio estimator using prior value of coefficient of kurtosis of an auxiliary character x, with the intention to improve the efficiency of ratio estimator. The first order large sample approximations to the bias and themean square error of the proposed estimator are obtained and compared with sample mean estimator and usual ratio estimator. A generalized version of the suggested estimator is also presented. Numerical illustrations are listed to compare the performanceof different estimators.