<abstract xmlns="http://www.w3.org/1999/xhtml"><p> In this paper we have suggested a family of estimators of the population mean using auxiliary information in sample surveys. The bias and mean squared error of the proposed class of estimators have been obtained under large sample approximation. We have derived the conditions for the parameters under which the proposed class of estimators has smaller mean squared error than the sample mean, ratio, product, regression estimator and the two parameter ratio-product-ratio estimators envisaged by Chami et al (2012). An empirical study is carried out to demonstrate the performance of the proposed class of estimators over other existing estimators.</p></abstract>

In this paper we have suggested a family of estimators of the population mean using auxiliary information in sample surveys. The bias and mean squared error of the proposed class of estimators have been obtained under large sample approximation. We have derived the conditions for the parameters under which the proposed class of estimators has smaller mean squared error than the sample mean, ratio, product, regression estimator and the two parameter ratio-product-ratio estimators envisaged by Chami et al (2012). An empirical study is carried out to demonstrate the performance of the proposed class of estimators over other existing estimators.

An Improved Family of Estimators of Finite Population Mean Using Information on an Auxiliary Variable in Sample Surveys

Journal of Applied Mathematics, Statistics and Informatics

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

In this paper we have suggested a family of estimators of the population mean using auxiliary information in sample surveys. The bias and mean squared error of...

An Improved Family of Estimators of Finite Population Mean Using Information on an Auxiliary Variable in Sample Surveys

Published Online: Jan 11, 2018

Page range: 77 - 108

DOI: https://doi.org/10.1515/jamsi-2017-0011

Keywords
Study variable, Auxiliary variable, Bias, Mean squared Error

© Faculty of Natural Sciences, University of Saint Cyril and Metodius

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

An Improved Family of Estimators of Finite Population Mean Using Information on an Auxiliary Variable in Sample Surveys

Published Online: Jan 11, 2018

Page range: 77 - 108

DOI: https://doi.org/10.1515/jamsi-2017-0011

KeywordsStudy variable, Auxiliary variable, Bias, Mean squared Error

© Faculty of Natural Sciences, University of Saint Cyril and Metodius

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Keywords
Study variable, Auxiliary variable, Bias, Mean squared Error