Construction of Almost Unbiased Estimator for Unknown   Population Mean using Two Auxiliary Variables

Rajesh Singh; Anamika Kumari; Sunil Kumar Yadav

doi:10.56093/jisas.v79i01.171986

Authors

Rajesh Singh Banaras Hindu University, Varanasi
Anamika Kumari Manipal Academy of Higher Education, Manipal
Sunil Kumar Yadav Banaras Hindu University, Varanasi

https://doi.org/10.56093/jisas.v79i01.171986

Keywords:

Unbiased estimator; Two auxiliary variables; Ratio-cum-product Estimator; Population mean estimation; Mean square error; Bias.

Abstract

In this paper, for estimating finite population mean of study character , an almost unbiased estimator, using two auxiliary variables is proposed. The usual ratio, product and ratio-cum-product estimators are biased. In some applications, biasedness of an estimator is disadvantageous. It is important to reduce it for better accuracy. Applying the procedure of Singh and Singh(1991,1993), in this paper, an almost unbiased estimator using two auxiliary variables is proposed for estimating finite population mean . The proposed estimator is almost unbiased up to first order of approximation. Expression for bias and mean square error (MSE) of the proposed estimator is derived up to the first order of approximation. To verify the theoretical findings an empirical study is carried out using two real data sets. One simulation study is also carried out which demonstrates that the bias of the proposed estimator is almost zero and the minimum MSE is equal to the MSE of the two variable regression estimator.

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References

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