Improved Exponential Ratio In Regression Class of Estimators of the Population Mean in Simple Random Sampling in the presence of Two Auxiliary Variables

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Abstract

This study proposes two classes of exponential ratio estimators of the population mean under simple random sampling, in the presence of two auxiliary variables. Their biases and mean square errors have been derived using first and second degree approximation. It is observed that some existing estimators are members of this class of estimators of population mean. Theoretical and empirical comparisons of the proposed multivariate estimators with existing ones, at optimal conditions show greater gains in efficiencies over existing multivariate estimators of the population mean considered in this work.

Keywords: Multivariate ratio estimators, simple random sampling,Asymptotic Optimal,Estimator (AOE),E

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