Estimation of harmonic mean using auxiliary information under double sampling scheme.

Abstract

Estimation of population harmonic mean, using auxiliary information under double sampling scheme using ratio type estimator. Its bias and mean square error (MSE) are found to the first order of approximation. An optimum subclass of estimators is also obtained and a comparative study with the conventional estimator is made. It has further been shown that estimation of parametric values involved in the optimum subclass does not reduce the efficiency of the proposed estimator. An empirical example showing the increased efficiency of proposed estimator over conventional estimator is also included as an illustration.