Computational Approach to Generalized Ratio Type Estimator of Population Mean Under Two Phase Sampling

Abstract

In the present draft, we propose the computational approach to generalized ratio type estimator of population mean of the main variable under study using auxiliary information. 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 characterizing scalar. A comparison has been made with the existing estimators of population mean in two phase sampling. A computing based on numerical example also carried out which shows improvement of proposed estimator over other estimators in two phase sampling as the proposed estimator has lesser mean squared error.