A Generalized Family of Ratio-Product Exponential Type Estimator Using Power Transformation

Abstract

Usage of Auxiliary information has been widely addressed in literature with a view of enhancing the precision of the estimators of  population parameters. this paper reviewed research works of some exponential and ratio type estimators for estimating the population  parameters using the population mean of an auxiliary variable. In this research, a generalized family of ratio-product type estimator of population mean as well as the coefficient of kurtosis of two auxiliary variables x and z under stratified random sampling has been  proposed using power transformation and exponential techniques. The Bias and MSE of proposed estimator have been derived up to  second order of approximation. The conditions in which the proposed estimator is better than existing estimators were obtained. The  empirical study shows that the proposed estimator is more efficient than existing estimators in reference to the validation statistics  employed.