Generalized Exponential Estimators of Finite Population Mean Using Transformed Auxiliary Variables

Abstract

The new generalized exponential ratio cum dual to ratio type estimators are suggested using the transformation of Srivenkataramana (Biometrika 67:199–204, 1980) to the auxiliary variables for estimating the finite population mean. The expressions for mean square errors and biases of the proposed estimators have been derived up to first order of approximation. The conditions have been obtained for which the proposed estimators are more efficient than existing estimators. Empirical study is presented to evaluate the performance of proposed estimators.