RATIO AND PRODUCT TYPE EXPONENTIAL ESTIMATORS OF POPULATION VARIANCE UNDER TRANSFORMED SAMPLE INFORMATION OF STUDY AND SUPPLEMENTARY VARIABLES
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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 modified ratio and product exponential estimators for finite
population variance. The proposed class of exponential estimators was obtained by transforming both the
sample variances and means of study and auxiliary variables of Singh et al. [1] and Asgha et al. [2]
estimators. The mean square errors (MSEs) of the proposed estimators have been obtained and the
conditions for their efficiency over some existing variance estimators have been established. The efficiency
of proposed estimators based on optimal values of the constants, exhibit significant improvement over the
estimators considered in the study. The numerical illustration was also conducted to corroborate the
theoretical results. The result of the empirical study does not only show high efficiency of the proposed class
of estimators over existing estimators but also save cost because their efficiency is high for small samples
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Keywords
Efficiency; mean square error; exponential estimator; finite population; variance.