CLASS OF RATIO ESTIMATORS WITH KNOWN FUNCTIONS OF AUXILIARY VARIABLE FOR ESTIMATING FINITE POPULATION VARIANCE
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Date
2016
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Asian Journal of Mathematics and Computer Research
Abstract
In this paper, we have suggested a class of improved ratio estimators for finite population variance. The
proposed class of estimators is obtained by using unknown weight on some existing estimators. The MSE of
the proposed estimators have been obtained and the conditions for their efficiency over some existing
variance estimators have been established. The present proposed family of finite variance estimators, having
obtaining the optimal values of the constants, exhibit significant improvement over the existing estimators.
The empirical study is also conducted to corroborate the theoretical results and the results show that the
proposed class of estimators is more efficient.
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Keywords
Efficiency; mean square error; ratio estimator; finite population; variance.