A Class of Ratio Estimators of a Finite Population Mean Using Two Auxiliary Variables

In sample surveys, it is usual to increase the efficiency of the estimators by the use of the auxiliary information. We propose a class of ratio estimators of a finite population mean using two auxiliary variables and obtain mean square error (MSE) equations for the class of proposed estimators. We...

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Detalles Bibliográficos
Autores principales: Lu, Jingli, Yan, Zaizai
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Public Library of Science 2014
Materias:
Research Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3933591/
https://www.ncbi.nlm.nih.gov/pubmed/24586855
http://dx.doi.org/10.1371/journal.pone.0089538
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author Lu, Jingli
Yan, Zaizai
author_facet Lu, Jingli
Yan, Zaizai
author_sort Lu, Jingli
collection PubMed
description In sample surveys, it is usual to increase the efficiency of the estimators by the use of the auxiliary information. We propose a class of ratio estimators of a finite population mean using two auxiliary variables and obtain mean square error (MSE) equations for the class of proposed estimators. We find theoretical conditions that make proposed family estimators more efficient than the traditional ratio estimator and the estimators proposed by Abu-Dayeh et al. using two auxiliary variables. In addition, we support these theoretical results with the aid of a numerical example.
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spelling pubmed-39335912014-02-25 A Class of Ratio Estimators of a Finite Population Mean Using Two Auxiliary Variables Lu, Jingli Yan, Zaizai PLoS One Research Article In sample surveys, it is usual to increase the efficiency of the estimators by the use of the auxiliary information. We propose a class of ratio estimators of a finite population mean using two auxiliary variables and obtain mean square error (MSE) equations for the class of proposed estimators. We find theoretical conditions that make proposed family estimators more efficient than the traditional ratio estimator and the estimators proposed by Abu-Dayeh et al. using two auxiliary variables. In addition, we support these theoretical results with the aid of a numerical example. Public Library of Science 2014-02-24 /pmc/articles/PMC3933591/ /pubmed/24586855 http://dx.doi.org/10.1371/journal.pone.0089538 Text en © 2014 Lu, Yan http://creativecommons.org/licenses/by/4.0/ This is an open-access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are properly credited.
spellingShingle Research Article
Lu, Jingli
Yan, Zaizai
A Class of Ratio Estimators of a Finite Population Mean Using Two Auxiliary Variables
title A Class of Ratio Estimators of a Finite Population Mean Using Two Auxiliary Variables
title_full A Class of Ratio Estimators of a Finite Population Mean Using Two Auxiliary Variables
title_fullStr A Class of Ratio Estimators of a Finite Population Mean Using Two Auxiliary Variables
title_full_unstemmed A Class of Ratio Estimators of a Finite Population Mean Using Two Auxiliary Variables
title_short A Class of Ratio Estimators of a Finite Population Mean Using Two Auxiliary Variables
title_sort class of ratio estimators of a finite population mean using two auxiliary variables
topic Research Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3933591/
https://www.ncbi.nlm.nih.gov/pubmed/24586855
http://dx.doi.org/10.1371/journal.pone.0089538
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