In this paper, a new family of estimators for the population mean is proposed using supplementary information on the mean and distribution function of the auxiliary variable. The expressions for the bias and mean square error of the proposed estimator are obtained under first order of approximation. The proposed estimator is compared with the existing estimators of the population mean (theoretically and numerically). A numerical study is conducted to examine the efficiencies of the existing and proposed estimators. It turns out that the proposed estimator is always more efficient than its existing counterparts in terms of percentage relative efficiency.
Financed by the National Centre for Research and Development under grant No. SP/I/1/77065/10 by the strategic scientific research and experimental development program:
SYNAT - “Interdisciplinary System for Interactive Scientific and Scientific-Technical Information”.