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4. ON SOME CLASSES OF MODIFIED DUAL TO RATIO ESTIMATORS OF FINITE POPULATION MEAN IN SAMPLE SURVEYS by H. Aliyu, H. G. Dikko and A. Yahaya Volume 52 (July & Sept., 2019 Issue)
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ON SOME CLASSES OF MODIFIED DUAL TO RATIO ESTIMATORS OF FINITE POPULATION MEAN IN SAMPLE SURVEYS

H. Aliyu, H. G. Dikko and A. Yahaya  

Department of Statistics, Ahmadu Bello University, Zaria, Nigeria.

Abstract

In this article, some classes of modified ratio estimators are suggested using variable transformation (dual) for finite population mean of the study variable under simple random sampling scheme. The properties (Biases and Mean Square Errors ) of the suggested classes of estimators   and  are derived up to first order approximation. The expression for the unknown weight   which optimized the efficiencies of   and  have been established. The optimum   of the suggested classes of estimators have also been obtained. The efficiencies of the suggested classes of estimators   and  has been compared theoretically and empirically with some existing related ratio estimators. The empirical comparison shows that the suggested classes of estimators have lower   and higher relative efficiency compared to the existing ones considered in the study under optimal conditions and thus most preferred over all the considered estimators for the use in practical application.

Keywords:  Dual-Ratio Estimator, Mean Squared Error , Efficiency, Auxiliary Variable. 

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