Modified Classes of Stratified Exponential Ratio Estimators of Population Mean with Equal Optimal Efficiency

Abstract

This paper introduces new classes of exponential ratio estimators for population mean and derives expressions for their biases and mean square errors (MSEs) under the large sample approximation. Asymptotic optimum estimator and its approximate MSE are derived for each class of estimators. Their properties are studied and some special members of their families are identified. Analytically, the proposed classes of estimators have been shown to have equal optimal efficiency under certain prescribed conditions. It is observed that the proposed classes of estimators fare better than the regression estimator and all the modified existing estimators under review with appreciable efficiency gains.