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Mathematical Problems in Engineering
Volume 2017, Article ID 8704734, 7 pages
https://doi.org/10.1155/2017/8704734
Research Article

Efficient Estimator of a Finite Population Mean Using Two Auxiliary Variables and Numerical Application in Agricultural, Biomedical, and Power Engineering

College of Science, Inner Mongolia University of Technology, Hohhot, Inner Mongolia, China

Correspondence should be addressed to Jingli Lu; moc.361@4002ilgnijul

Received 23 January 2017; Revised 21 July 2017; Accepted 25 July 2017; Published 23 August 2017

Academic Editor: Guido Ala

Copyright © 2017 Jingli Lu. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

To improve the efficiency of an estimator with two auxiliary variables, we propose a new estimator of a finite population mean under simple random sampling. The bias and mean square error expressions of the proposed estimator have been obtained. In a comparison study, we found that the new estimator was consistently better than those of Abu-Dayyeh et al., Kadilar and Cingi, and Malik and Singh, as well as the regression estimator using two auxiliary variables, and that the minimum MSE values of the previous three above reported estimators were equal. We used four numerical examples in agricultural, biomedical, and power engineering to support these theoretical results, thus enriching the theory of survey samples by the development of new estimators with two auxiliary variables.