A New Approach to Mean Estimation Using Two Auxiliary Variates in Two-Phase Sampling

This paper focuses on estimation of mean using two auxiliary variates in two-phase sampling. The technique of Taylor series expansion is used for obtaining the mean square error (MSE) of the proposed estimator. The expression for minimum attainable MSE is also derived. Some of the estimators of the sampling literature are shown to be the members of the estimator proposed in this paper. An attempt has been made to find optimum sample sizes under a known fixed cost function. The results are extended to the case of multi-auxiliary variates. Efficiency comparisons are made, and an empirical study is carried out in support of theoretical findings.