A Generalized Exponential Ratio Estimator for Estimating the Population Mean Using Two Auxiliary Variables
Keywords:
Ratio Estimator, Exponential Estimator, Population Mean, MSE, PREAbstract
This paper aimed to propose a generalized exponential ratio estimator for estimating the population mean by adapting Agnihotri (2008) and Singh et al. (2009) estimator. When the correlation between the study variable and auxiliary variable is positively high under simple random sampling without replacement (SRSWOR). Mean squared error (MSE) and the minimum mean squared error (MMSE) of the proposed estimator has been studied and compared with unbiased estimator, Bahl & Tuteja (1991) estimator, Singh & Agnihotri (2008) estimator, Singh et al. (2009) estimator, etc., through theoretical and empirical analysis. The results show that the new estimator performs better as compared to all other estimators where the correlation between study and auxiliary variables is highly positive.
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References
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