Volume 8, Issue 1, January 2019, Page: 31-38
Class of Difference Cum Ratio–Type Estimator in Double Sampling Using Two Auxiliary Variables with Some Known Population Parameters
Akingbade Toluwalase Janet, Department of Statistics, Faculty of Physical Sciences, University of Nigeria, Nsukka, Nigeria
Okafor Fabian Chinemelu, Department of Statistics, Faculty of Physical Sciences, University of Nigeria, Nsukka, Nigeria
Received: Feb. 2, 2019;       Accepted: Mar. 12, 2019;       Published: Apr. 1, 2019
DOI: 10.11648/j.ajtas.20190801.15      View  167      Downloads  64
Abstract
In this paper, a class of double sampling difference cum ratio - type estimator using two auxiliary variables was proposed for estimating the finite population mean of the variable of interest. The expression for the bias and the mean square error of the proposed estimators are derived; in addition, some members of the class of the estimator are identified. The conditions under which the proposed estimators perform better than the sample mean and the existing double sampling ratio type estimators are derived. The empirical analysis showed that the proposed class of estimator performs better than the existing estimators considered in this study.
Keywords
Mean Square Error (MSE), Ratio Estimator, Double Sampling, Percent Relative Efficiency (PRE), Auxiliary Variables
To cite this article
Akingbade Toluwalase Janet, Okafor Fabian Chinemelu, Class of Difference Cum Ratio–Type Estimator in Double Sampling Using Two Auxiliary Variables with Some Known Population Parameters, American Journal of Theoretical and Applied Statistics. Vol. 8, No. 1, 2019, pp. 31-38. doi: 10.11648/j.ajtas.20190801.15
Copyright
Copyright © 2019 Authors retain the copyright of this article.
This article is an open access article distributed under the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0/) which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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