A comparative study of the Gini coefficient estimators based on the linearization and U-statistics Methods

In this paper, we consider two well-known methods for analysis of the Gini index, which are U-statistics and linearization for some incomedistributions. In addition, we evaluate two different methods for some properties of their proposed estimators. Also, we compare two methods with resampling techn...

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Autores:: Mirzaei, Shahryar
Mohtashami Borzadaran, Gholam Reza
Amini, Mohammad

Tipo de recurso:: Article of journal

Fecha de publicación:: 2017

Institución:: Universidad Nacional de Colombia

Repositorio:: Universidad Nacional de Colombia

Idioma:: spa

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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_abf2Mirzaei, Shahryar4ae935cf-ebf5-400b-a322-9d94cd5f2dfb300Mohtashami Borzadaran, Gholam Reza2def8bb6-a8b2-4ba6-95b4-2bd3d6d75869300Amini, Mohammad2a358b12-1338-4b9a-ab72-9a0e24d6961f3002019-07-03T02:14:25Z2019-07-03T02:14:25Z2017-07-01ISSN: 2389-8976https://repositorio.unal.edu.co/handle/unal/66495http://bdigital.unal.edu.co/67523/In this paper, we consider two well-known methods for analysis of the Gini index, which are U-statistics and linearization for some incomedistributions. In addition, we evaluate two different methods for some properties of their proposed estimators. Also, we compare two methods with resampling techniques in approximating some properties of the Gini index. A simulation study shows that the linearization method performs 'well' compared to the Gini estimator based on U-statistics. A brief study on real data supports our findings.En este artículo consideramos dos métodos ampliamente conocidos para en análisis del índice Gini, los cuales son U-statistics y linealización. Adicionalmente, evaluamos los dos métodos diferentes con base en las propiedades de los estimadores propuestos sobre distribuciones de la renta. También comparamos los métodos con técnicas de remuestreo aproximando algunas propiedades del índice Gini. Un estudio de simulación muestra que el método de linealización se comporta ``bien'' comparado con el método basado en U-statistics. Un corto estudio de datos reales confirma nuestro resultado.application/pdfspaUniversidad Nacional de Colombia - Sede Bogotá - Facultad de Ciencias - Departamento de Estadísticahttps://revistas.unal.edu.co/index.php/estad/article/view/53399Universidad Nacional de Colombia Revistas electrónicas UN Revista Colombiana de EstadísticaRevista Colombiana de EstadísticaMirzaei, Shahryar and Mohtashami Borzadaran, Gholam Reza and Amini, Mohammad (2017) A comparative study of the Gini coefficient estimators based on the linearization and U-statistics Methods. Revista Colombiana de Estadística, 40 (2). pp. 205-221. ISSN 2389-897651 Matemáticas / Mathematics31 Colecciones de estadística general / StatisticsGini coefficientInequality indexU-statisticsLinearization methodResampling techniques.Índice GiniDistribuciones de la rentaMétodo de linealizaciónTécnicas de remuestreoU-statisticsA comparative study of the Gini coefficient estimators based on the linearization and U-statistics MethodsArtículo 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/ARTORIGINAL53399-340078-1-PB.pdfapplication/pdf1515510https://repositorio.unal.edu.co/bitstream/unal/66495/1/53399-340078-1-PB.pdf572cb99e436065e0875dddb836219b10MD51THUMBNAIL53399-340078-1-PB.pdf.jpg53399-340078-1-PB.pdf.jpgGenerated Thumbnailimage/jpeg6159https://repositorio.unal.edu.co/bitstream/unal/66495/2/53399-340078-1-PB.pdf.jpgb3a0102a42390fd2e3d8506e1035aca9MD52unal/66495oai:repositorio.unal.edu.co:unal/664952023-05-25 23:02:58.769Repositorio Institucional Universidad Nacional de Colombiarepositorio_nal@unal.edu.co
dc.title.spa.fl_str_mv	A comparative study of the Gini coefficient estimators based on the linearization and U-statistics Methods
title	A comparative study of the Gini coefficient estimators based on the linearization and U-statistics Methods
spellingShingle	A comparative study of the Gini coefficient estimators based on the linearization and U-statistics Methods 51 Matemáticas / Mathematics 31 Colecciones de estadística general / Statistics Gini coefficient Inequality index U-statistics Linearization method Resampling techniques. Índice Gini Distribuciones de la renta Método de linealización Técnicas de remuestreo U-statistics
title_short	A comparative study of the Gini coefficient estimators based on the linearization and U-statistics Methods
title_full	A comparative study of the Gini coefficient estimators based on the linearization and U-statistics Methods
title_fullStr	A comparative study of the Gini coefficient estimators based on the linearization and U-statistics Methods
title_full_unstemmed	A comparative study of the Gini coefficient estimators based on the linearization and U-statistics Methods
title_sort	A comparative study of the Gini coefficient estimators based on the linearization and U-statistics Methods
dc.creator.fl_str_mv	Mirzaei, Shahryar Mohtashami Borzadaran, Gholam Reza Amini, Mohammad
dc.contributor.author.spa.fl_str_mv	Mirzaei, Shahryar Mohtashami Borzadaran, Gholam Reza Amini, Mohammad
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 Gini coefficient Inequality index U-statistics Linearization method Resampling techniques. Índice Gini Distribuciones de la renta Método de linealización Técnicas de remuestreo U-statistics
dc.subject.proposal.spa.fl_str_mv	Gini coefficient Inequality index U-statistics Linearization method Resampling techniques. Índice Gini Distribuciones de la renta Método de linealización Técnicas de remuestreo U-statistics
description	In this paper, we consider two well-known methods for analysis of the Gini index, which are U-statistics and linearization for some incomedistributions. In addition, we evaluate two different methods for some properties of their proposed estimators. Also, we compare two methods with resampling techniques in approximating some properties of the Gini index. A simulation study shows that the linearization method performs 'well' compared to the Gini estimator based on U-statistics. A brief study on real data supports our findings.
publishDate	2017
dc.date.issued.spa.fl_str_mv	2017-07-01
dc.date.accessioned.spa.fl_str_mv	2019-07-03T02:14:25Z
dc.date.available.spa.fl_str_mv	2019-07-03T02:14:25Z
dc.type.spa.fl_str_mv	Artículo de revista
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format	http://purl.org/coar/resource_type/c_6501
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dc.identifier.issn.spa.fl_str_mv	ISSN: 2389-8976
dc.identifier.uri.none.fl_str_mv	https://repositorio.unal.edu.co/handle/unal/66495
dc.identifier.eprints.spa.fl_str_mv	http://bdigital.unal.edu.co/67523/
identifier_str_mv	ISSN: 2389-8976
url	https://repositorio.unal.edu.co/handle/unal/66495 http://bdigital.unal.edu.co/67523/
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/53399
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	Mirzaei, Shahryar and Mohtashami Borzadaran, Gholam Reza and Amini, Mohammad (2017) A comparative study of the Gini coefficient estimators based on the linearization and U-statistics Methods. Revista Colombiana de Estadística, 40 (2). pp. 205-221. ISSN 2389-8976
dc.rights.spa.fl_str_mv	Derechos reservados - Universidad Nacional de Colombia
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dc.rights.license.spa.fl_str_mv	Atribución-NoComercial 4.0 Internacional
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dc.rights.accessrights.spa.fl_str_mv	info:eu-repo/semantics/openAccess
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eu_rights_str_mv	openAccess
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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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A comparative study of the Gini coefficient estimators based on the linearization and U-statistics Methods

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