Improved Estimation of Population Mean Using Information on Size of the Sample

摘要

In the present paper, the sample size has been used as information for improved estimation of population mean of the main variable under study. A generalized ratio type estimator of population mean has been proposed. The large sample properties the bias and the mean squared error of the proposed estimator have been obtained up to first order of approximation. The optimum value of the characterizing scalar which minimizes the mean squared error has been obtained and the minimum value of the mean squared error of the proposed estimator for this optimum value has also been obtained. A comparison of the proposed estimator has been made with mean per unit estimator and other existing estimators of population mean. A numerical study is also carried out to judge the performances of the proposed and existing estimators of the population mean.