• IMPROVED RATIO TYPE ESTIMATOR OF POPULATION MEAN USING TWO PHASE SAMPLING

Abstract

The present manuscript study the estimation of population mean in two phase sampling using auxiliary information. In this paper, I proposed an improved estimator of population mean under two phase sampling scheme. The expressions for the bias and mean square errors (MSE) have been obtained up to the first order of approximation. The minimum value of the MSE of the proposed estimator is also obtained for the optimum value of the constant (α). A comparison has been made with the existing estimators in two phase sampling. Finally, am empirical study is also carried out which shows improvement of proposed estimator over other estimators in two phase sampling in the sense of having lesser mean squared error.