Estimation of Population Ratio in Simple Random Sampling using Variable Transformation

Onyeka

Authors

Onyeka

variable transformation, ratio, product and regression-type estimators, mean squared error

Abstract

This paper proposes six new estimators of the population ratio (R) of the population means of two variables (y and x) in Simple Random Sampling (SRS) scheme, using a variable transformation of the auxiliary variable, x. Properties of the proposed estimators, including optimality conditions, are derived up to first order approximation, and conditions Rˆ y / x under which the proposed estimators perform better than the customary ratio estimator ( ) are also obtained. The results are supported with empirical illustrations, which show that some of the proposed estimators have relatively Rˆ large gains in efficiency over the customary ratio estimator, for the data set considered.

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How to Cite

Estimation of Population Ratio in Simple Random Sampling using Variable Transformation. (2013). Global Journal of Science Frontier Research, 13(14), 57-65. https://journalofscience.org/index.php/GJSFR/article/view/

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References

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