Enhancing the Mean Ratio Estimators for Estimating Population Mean Using Non-Conventional Location Parameters
Conventional measures of location are commonly used to develop ratio estimators. However, in this article, we attempt to use some non-conventional location measures. We have incorporated tri-mean, Hodges-Lehmann, and mid-range of the auxiliary variable for this purpose. To enhance the efficiency of...
- Autores:
-
Abid, Muhammad
Abbas, Nasir
Nazir, Hafiz Zafar
Lin, Zhengyan
- Tipo de recurso:
- Article of journal
- Fecha de publicación:
- 2016
- Institución:
- Universidad Nacional de Colombia
- Repositorio:
- Universidad Nacional de Colombia
- Idioma:
- spa
- OAI Identifier:
- oai:repositorio.unal.edu.co:unal/66523
- Acceso en línea:
- https://repositorio.unal.edu.co/handle/unal/66523
http://bdigital.unal.edu.co/67551/
- Palabra clave:
- 51 Matemáticas / Mathematics
31 Colecciones de estadística general / Statistics
Bias
Correlation Coefficient
Coefficient of Variation
Hodges- Lehmann Estimator
Mean Square Error
Tri-Mean
Coeficiente de correlación poblacional
Coeficiente de variación
Error cuadrático medio
Estimador de Hodges-Lehmann,
Sesgo
Trimean.
- Rights
- openAccess
- License
- Atribución-NoComercial 4.0 Internacional
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Atribución-NoComercial 4.0 InternacionalDerechos reservados - Universidad Nacional de Colombiahttp://creativecommons.org/licenses/by-nc/4.0/info:eu-repo/semantics/openAccesshttp://purl.org/coar/access_right/c_abf2Abid, Muhammad7430f940-7e46-4f21-89b4-f89d56445206300Abbas, Nasir196be583-8545-4423-9dba-383661e4fdab300Nazir, Hafiz Zafar707d7ffc-4055-454e-9e56-dda7f0fd9926300Lin, Zhengyand9ee32fa-a879-4032-968d-5f90eb14a68e3002019-07-03T02:17:54Z2019-07-03T02:17:54Z2016-01-01ISSN: 2389-8976https://repositorio.unal.edu.co/handle/unal/66523http://bdigital.unal.edu.co/67551/Conventional measures of location are commonly used to develop ratio estimators. However, in this article, we attempt to use some non-conventional location measures. We have incorporated tri-mean, Hodges-Lehmann, and mid-range of the auxiliary variable for this purpose. To enhance the efficiency of the proposed mean ratio estimators, population correlation coefficient, coefficient of variation and the linear combinations of auxiliary variable have also been exploited. The properties associated with the proposed estimators are evaluated through bias and mean square errors. We also provide an empirical study for illustration and verification.Las medidas convencionales de localización son a menudo usadas con el fin de desarrollar estimatores de razón. Sin embargo, en este artículo, se hace un intento por usar algunas medidas de localización no convencionales. Se incorpora la trimean, el estimador de Hodges-Lehmann y el rango medio de la variable auxiliar con este propósito. Para mejorar la eficiencia de los estimadores de razón de medias propuestos, el coeficiente de correlación poblacional, el coeficiente de variación y combinaciones lineales de variables auxiliares también han sido explotados. Las propiedades asociadas con los estimadores propuestos son evaluadas a través del sesgo y el error cuadrático medio. Un estudio empírico es presentado con fines de ilustración y verificación.application/pdfspaUniversidad Nacional de Colombia - Sede Bogotá - Facultad de Ciencias - Departamento de Estadísticahttps://revistas.unal.edu.co/index.php/estad/article/view/55139Universidad Nacional de Colombia Revistas electrónicas UN Revista Colombiana de EstadísticaRevista Colombiana de EstadísticaAbid, Muhammad and Abbas, Nasir and Nazir, Hafiz Zafar and Lin, Zhengyan (2016) Enhancing the Mean Ratio Estimators for Estimating Population Mean Using Non-Conventional Location Parameters. Revista Colombiana de Estadística, 39 (1). pp. 63-79. ISSN 2389-897651 Matemáticas / Mathematics31 Colecciones de estadística general / StatisticsBiasCorrelation CoefficientCoefficient of VariationHodges- Lehmann EstimatorMean Square ErrorTri-MeanCoeficiente de correlación poblacionalCoeficiente de variaciónError cuadrático medioEstimador de Hodges-Lehmann,SesgoTrimean.Enhancing the Mean Ratio Estimators for Estimating Population Mean Using Non-Conventional Location ParametersArtículo de revistainfo:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501http://purl.org/coar/resource_type/c_2df8fbb1http://purl.org/coar/version/c_970fb48d4fbd8a85Texthttp://purl.org/redcol/resource_type/ARTORIGINAL55139-281190-1-PB.pdfapplication/pdf617866https://repositorio.unal.edu.co/bitstream/unal/66523/1/55139-281190-1-PB.pdfeb1633cf01439122cb4360a098d6d87aMD51THUMBNAIL55139-281190-1-PB.pdf.jpg55139-281190-1-PB.pdf.jpgGenerated Thumbnailimage/jpeg5371https://repositorio.unal.edu.co/bitstream/unal/66523/2/55139-281190-1-PB.pdf.jpg800fc3aba5b34131cf308aa22ce7a3d8MD52unal/66523oai:repositorio.unal.edu.co:unal/665232024-05-16 23:09:38.811Repositorio Institucional Universidad Nacional de Colombiarepositorio_nal@unal.edu.co |
dc.title.spa.fl_str_mv |
Enhancing the Mean Ratio Estimators for Estimating Population Mean Using Non-Conventional Location Parameters |
title |
Enhancing the Mean Ratio Estimators for Estimating Population Mean Using Non-Conventional Location Parameters |
spellingShingle |
Enhancing the Mean Ratio Estimators for Estimating Population Mean Using Non-Conventional Location Parameters 51 Matemáticas / Mathematics 31 Colecciones de estadística general / Statistics Bias Correlation Coefficient Coefficient of Variation Hodges- Lehmann Estimator Mean Square Error Tri-Mean Coeficiente de correlación poblacional Coeficiente de variación Error cuadrático medio Estimador de Hodges-Lehmann, Sesgo Trimean. |
title_short |
Enhancing the Mean Ratio Estimators for Estimating Population Mean Using Non-Conventional Location Parameters |
title_full |
Enhancing the Mean Ratio Estimators for Estimating Population Mean Using Non-Conventional Location Parameters |
title_fullStr |
Enhancing the Mean Ratio Estimators for Estimating Population Mean Using Non-Conventional Location Parameters |
title_full_unstemmed |
Enhancing the Mean Ratio Estimators for Estimating Population Mean Using Non-Conventional Location Parameters |
title_sort |
Enhancing the Mean Ratio Estimators for Estimating Population Mean Using Non-Conventional Location Parameters |
dc.creator.fl_str_mv |
Abid, Muhammad Abbas, Nasir Nazir, Hafiz Zafar Lin, Zhengyan |
dc.contributor.author.spa.fl_str_mv |
Abid, Muhammad Abbas, Nasir Nazir, Hafiz Zafar Lin, Zhengyan |
dc.subject.ddc.spa.fl_str_mv |
51 Matemáticas / Mathematics 31 Colecciones de estadística general / Statistics |
topic |
51 Matemáticas / Mathematics 31 Colecciones de estadística general / Statistics Bias Correlation Coefficient Coefficient of Variation Hodges- Lehmann Estimator Mean Square Error Tri-Mean Coeficiente de correlación poblacional Coeficiente de variación Error cuadrático medio Estimador de Hodges-Lehmann, Sesgo Trimean. |
dc.subject.proposal.spa.fl_str_mv |
Bias Correlation Coefficient Coefficient of Variation Hodges- Lehmann Estimator Mean Square Error Tri-Mean Coeficiente de correlación poblacional Coeficiente de variación Error cuadrático medio Estimador de Hodges-Lehmann, Sesgo Trimean. |
description |
Conventional measures of location are commonly used to develop ratio estimators. However, in this article, we attempt to use some non-conventional location measures. We have incorporated tri-mean, Hodges-Lehmann, and mid-range of the auxiliary variable for this purpose. To enhance the efficiency of the proposed mean ratio estimators, population correlation coefficient, coefficient of variation and the linear combinations of auxiliary variable have also been exploited. The properties associated with the proposed estimators are evaluated through bias and mean square errors. We also provide an empirical study for illustration and verification. |
publishDate |
2016 |
dc.date.issued.spa.fl_str_mv |
2016-01-01 |
dc.date.accessioned.spa.fl_str_mv |
2019-07-03T02:17:54Z |
dc.date.available.spa.fl_str_mv |
2019-07-03T02:17:54Z |
dc.type.spa.fl_str_mv |
Artículo de revista |
dc.type.coar.fl_str_mv |
http://purl.org/coar/resource_type/c_2df8fbb1 |
dc.type.driver.spa.fl_str_mv |
info:eu-repo/semantics/article |
dc.type.version.spa.fl_str_mv |
info:eu-repo/semantics/publishedVersion |
dc.type.coar.spa.fl_str_mv |
http://purl.org/coar/resource_type/c_6501 |
dc.type.coarversion.spa.fl_str_mv |
http://purl.org/coar/version/c_970fb48d4fbd8a85 |
dc.type.content.spa.fl_str_mv |
Text |
dc.type.redcol.spa.fl_str_mv |
http://purl.org/redcol/resource_type/ART |
format |
http://purl.org/coar/resource_type/c_6501 |
status_str |
publishedVersion |
dc.identifier.issn.spa.fl_str_mv |
ISSN: 2389-8976 |
dc.identifier.uri.none.fl_str_mv |
https://repositorio.unal.edu.co/handle/unal/66523 |
dc.identifier.eprints.spa.fl_str_mv |
http://bdigital.unal.edu.co/67551/ |
identifier_str_mv |
ISSN: 2389-8976 |
url |
https://repositorio.unal.edu.co/handle/unal/66523 http://bdigital.unal.edu.co/67551/ |
dc.language.iso.spa.fl_str_mv |
spa |
language |
spa |
dc.relation.spa.fl_str_mv |
https://revistas.unal.edu.co/index.php/estad/article/view/55139 |
dc.relation.ispartof.spa.fl_str_mv |
Universidad Nacional de Colombia Revistas electrónicas UN Revista Colombiana de Estadística Revista Colombiana de Estadística |
dc.relation.references.spa.fl_str_mv |
Abid, Muhammad and Abbas, Nasir and Nazir, Hafiz Zafar and Lin, Zhengyan (2016) Enhancing the Mean Ratio Estimators for Estimating Population Mean Using Non-Conventional Location Parameters. Revista Colombiana de Estadística, 39 (1). pp. 63-79. ISSN 2389-8976 |
dc.rights.spa.fl_str_mv |
Derechos reservados - Universidad Nacional de Colombia |
dc.rights.coar.fl_str_mv |
http://purl.org/coar/access_right/c_abf2 |
dc.rights.license.spa.fl_str_mv |
Atribución-NoComercial 4.0 Internacional |
dc.rights.uri.spa.fl_str_mv |
http://creativecommons.org/licenses/by-nc/4.0/ |
dc.rights.accessrights.spa.fl_str_mv |
info:eu-repo/semantics/openAccess |
rights_invalid_str_mv |
Atribución-NoComercial 4.0 Internacional Derechos reservados - Universidad Nacional de Colombia http://creativecommons.org/licenses/by-nc/4.0/ http://purl.org/coar/access_right/c_abf2 |
eu_rights_str_mv |
openAccess |
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application/pdf |
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Universidad Nacional de Colombia - Sede Bogotá - Facultad de Ciencias - Departamento de Estadística |
institution |
Universidad Nacional de Colombia |
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