A New Exponential Ratio-Type Estimator with Linear Combination of Two Auxiliary Variables

In sample surveys, it is usual to make use of auxiliary information to increase the precision of estimators. We propose a new exponential ratio-type estimator of a finite population mean using linear combination of two auxiliary variables and obtain mean square error (MSE) equation for proposed esti...

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Detalles Bibliográficos
Autores principales: Lu, Jingli, Yan, Zaizai, Peng, Xiuyun
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/PMC4277478/
https://www.ncbi.nlm.nih.gov/pubmed/25542037
http://dx.doi.org/10.1371/journal.pone.0116124
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author Lu, Jingli
Yan, Zaizai
Peng, Xiuyun
author_facet Lu, Jingli
Yan, Zaizai
Peng, Xiuyun
author_sort Lu, Jingli
collection PubMed
description In sample surveys, it is usual to make use of auxiliary information to increase the precision of estimators. We propose a new exponential ratio-type estimator of a finite population mean using linear combination of two auxiliary variables and obtain mean square error (MSE) equation for proposed estimator. We find theoretical conditions that make proposed estimator more efficient than traditional multivariate ratio estimator using information of two auxiliary variables, the estimator of Bahl and Tuteja and the estimator proposed by Abu-Dayeh et al. In addition, we support these theoretical results with the aid of two numerical examples.
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spelling pubmed-42774782014-12-31 A New Exponential Ratio-Type Estimator with Linear Combination of Two Auxiliary Variables Lu, Jingli Yan, Zaizai Peng, Xiuyun PLoS One Research Article In sample surveys, it is usual to make use of auxiliary information to increase the precision of estimators. We propose a new exponential ratio-type estimator of a finite population mean using linear combination of two auxiliary variables and obtain mean square error (MSE) equation for proposed estimator. We find theoretical conditions that make proposed estimator more efficient than traditional multivariate ratio estimator using information of two auxiliary variables, the estimator of Bahl and Tuteja and the estimator proposed by Abu-Dayeh et al. In addition, we support these theoretical results with the aid of two numerical examples. Public Library of Science 2014-12-26 /pmc/articles/PMC4277478/ /pubmed/25542037 http://dx.doi.org/10.1371/journal.pone.0116124 Text en © 2014 Lu et al 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
Peng, Xiuyun
A New Exponential Ratio-Type Estimator with Linear Combination of Two Auxiliary Variables
title A New Exponential Ratio-Type Estimator with Linear Combination of Two Auxiliary Variables
title_full A New Exponential Ratio-Type Estimator with Linear Combination of Two Auxiliary Variables
title_fullStr A New Exponential Ratio-Type Estimator with Linear Combination of Two Auxiliary Variables
title_full_unstemmed A New Exponential Ratio-Type Estimator with Linear Combination of Two Auxiliary Variables
title_short A New Exponential Ratio-Type Estimator with Linear Combination of Two Auxiliary Variables
title_sort new exponential ratio-type estimator with linear combination of two auxiliary variables
topic Research Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4277478/
https://www.ncbi.nlm.nih.gov/pubmed/25542037
http://dx.doi.org/10.1371/journal.pone.0116124
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