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Improved Estimators of the Finite Universe Variance and Mean Using Ancillary Variable in Sample Surveys

Surya K. Pal, Housila P. Singh


The task of estimating the finite universe variance and mean of the main variable using ancillary variable have been considered. We have suggested estimators for variance and mean and studied their properties. The superiority of the envisaged estimators over conventional unbiased estimator, Singh et al. (1973) and Searls and Intarapanich (1990) and Kadilar and Cingi (2007) estimators have been discussed. We have also obtained the situation under which the recommended estimator is better than Isaki’s (1983) ratio estimator. It is interesting to mention that the recommended estimators can be used as the family of estimators of the universe variance and mean.


Ancillary variable, Main variable, MSE, Comparison.

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