An Improved Estimator of Population Mean using Information on Median of the Study Variable

Dharmendra Kumar Yadav; Ravendra Kumar; Prof Sheela Misra; S.K. Yadav

doi:https://doi.org/10.14445/22315373/IJMTT-V46P520

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 46 | Number 2 | Year 2017 | Article Id. IJMTT-V46P520 | DOI : https://doi.org/10.14445/22315373/IJMTT-V46P520

An Improved Estimator of Population Mean using Information on Median of the Study Variable

Dharmendra Kumar Yadav, Ravendra Kumar, Prof Sheela Misra, S.K. Yadav

Citation :

Dharmendra Kumar Yadav, Ravendra Kumar, Prof Sheela Misra, S.K. Yadav, "An Improved Estimator of Population Mean using Information on Median of the Study Variable," International Journal of Mathematics Trends and Technology (IJMTT), vol. 46, no. 2, pp. 118-124, 2017. Crossref, https://doi.org/10.14445/22315373/IJMTT-V46P520

Abstract

The present paper advocates the estimation of population mean of the study variable by utilizing the information on median of the study variable. A generalized ratio type estimator has been proposed for this purpose. The expressions for the bias and mean squared error of the proposed estimator have been derived up to the first order of approximation. The optimum value of the characterizing scalar has also been obtained. The minimum value of the proposed estimator for this optimum value of the characterizing scalar is obtained. A theoretical efficiency comparison of the proposed estimator has been made with the mean per unit estimator, usual ratio of Cochran (1940) and usual regression estimator of Watson (1937),Bahl and Tuteja (1991)estimator, Kadilar (2016) and Subramani (2016) estimators. Theoretical results are supported by the numerical illustration and foundthat proposed estimatorperforms better than theexisting estimators.

Keywords

Study variable,Bias, Ratio estimator, Mean squared error, Simple random sampling, Efficiency.

References

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