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...

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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
id UNACIONAL2_f8f7861c0de2b5754dcb709f48c77b75
oai_identifier_str oai:repositorio.unal.edu.co:unal/66523
network_acronym_str UNACIONAL2
network_name_str Universidad Nacional de Colombia
repository_id_str
spelling 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
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dc.type.coarversion.spa.fl_str_mv http://purl.org/coar/version/c_970fb48d4fbd8a85
dc.type.content.spa.fl_str_mv Text
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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
dc.format.mimetype.spa.fl_str_mv application/pdf
dc.publisher.spa.fl_str_mv Universidad Nacional de Colombia - Sede Bogotá - Facultad de Ciencias - Departamento de Estadística
institution Universidad Nacional de Colombia
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