A note on the relationship between top income shares and the Gini coefficient

Autores
Gonzalez Alvaredo, Facundo
Año de publicación
2011
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
When a very top group of the income distribution, infinitesimal in numbers, owns a finite share S of total income, the Gini coefficient G can be approximated by G⁎(1 − S)+S, where G⁎ is the Gini coefficient for the rest of the population. We provide a simple formal proof for this expression, give a general formula of the relationship when the top group is not infinitesimal, and offer two applications as illustrations.
Fil: Gonzalez Alvaredo, Facundo. Universidad Torcuato Di Tella. Instituto "Torcuato Di Tella"; Argentina. University of Oxford; Reino Unido. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
Materia
GINI COEFFICIENT
PARETO DISTRIBUTION
TOP INCOME SHARES
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/192542
Acceder
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network_name_str CONICET Digital (CONICET)
spelling A note on the relationship between top income shares and the Gini coefficientGonzalez Alvaredo, FacundoGINI COEFFICIENTPARETO DISTRIBUTIONTOP INCOME SHAREShttps://purl.org/becyt/ford/5.2https://purl.org/becyt/ford/5When a very top group of the income distribution, infinitesimal in numbers, owns a finite share S of total income, the Gini coefficient G can be approximated by G⁎(1 − S)+S, where G⁎ is the Gini coefficient for the rest of the population. We provide a simple formal proof for this expression, give a general formula of the relationship when the top group is not infinitesimal, and offer two applications as illustrations.Fil: Gonzalez Alvaredo, Facundo. Universidad Torcuato Di Tella. Instituto "Torcuato Di Tella"; Argentina. University of Oxford; Reino Unido. Consejo Nacional de Investigaciones Científicas y Técnicas; ArgentinaNorth-holland2011-03info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/192542Gonzalez Alvaredo, Facundo; A note on the relationship between top income shares and the Gini coefficient; North-holland; Economics Letters; 110; 3; 3-2011; 274-2770165-17651873-7374CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/https://www.sciencedirect.com/science/article/pii/S0165176510003460info:eu-repo/semantics/altIdentifier/doi/10.1016/j.econlet.2010.10.008info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-03T09:57:41Zoai:ri.conicet.gov.ar:11336/192542instacron:CONICETInstitucionalhttp://ri.conicet.gov.ar/Organismo científico-tecnológicoNo correspondehttp://ri.conicet.gov.ar/oai/requestdasensio@conicet.gov.ar; lcarlino@conicet.gov.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:34982025-09-03 09:57:41.483CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv A note on the relationship between top income shares and the Gini coefficient
title A note on the relationship between top income shares and the Gini coefficient
spellingShingle A note on the relationship between top income shares and the Gini coefficient
Gonzalez Alvaredo, Facundo
GINI COEFFICIENT
PARETO DISTRIBUTION
TOP INCOME SHARES
title_short A note on the relationship between top income shares and the Gini coefficient
title_full A note on the relationship between top income shares and the Gini coefficient
title_fullStr A note on the relationship between top income shares and the Gini coefficient
title_full_unstemmed A note on the relationship between top income shares and the Gini coefficient
title_sort A note on the relationship between top income shares and the Gini coefficient
dc.creator.none.fl_str_mv Gonzalez Alvaredo, Facundo
author Gonzalez Alvaredo, Facundo
author_facet Gonzalez Alvaredo, Facundo
author_role author
dc.subject.none.fl_str_mv GINI COEFFICIENT
PARETO DISTRIBUTION
TOP INCOME SHARES
topic GINI COEFFICIENT
PARETO DISTRIBUTION
TOP INCOME SHARES
purl_subject.fl_str_mv https://purl.org/becyt/ford/5.2
https://purl.org/becyt/ford/5
dc.description.none.fl_txt_mv When a very top group of the income distribution, infinitesimal in numbers, owns a finite share S of total income, the Gini coefficient G can be approximated by G⁎(1 − S)+S, where G⁎ is the Gini coefficient for the rest of the population. We provide a simple formal proof for this expression, give a general formula of the relationship when the top group is not infinitesimal, and offer two applications as illustrations.
Fil: Gonzalez Alvaredo, Facundo. Universidad Torcuato Di Tella. Instituto "Torcuato Di Tella"; Argentina. University of Oxford; Reino Unido. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
description When a very top group of the income distribution, infinitesimal in numbers, owns a finite share S of total income, the Gini coefficient G can be approximated by G⁎(1 − S)+S, where G⁎ is the Gini coefficient for the rest of the population. We provide a simple formal proof for this expression, give a general formula of the relationship when the top group is not infinitesimal, and offer two applications as illustrations.
publishDate 2011
dc.date.none.fl_str_mv 2011-03
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
http://purl.org/coar/resource_type/c_6501
info:ar-repo/semantics/articulo
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/11336/192542
Gonzalez Alvaredo, Facundo; A note on the relationship between top income shares and the Gini coefficient; North-holland; Economics Letters; 110; 3; 3-2011; 274-277
0165-1765
1873-7374
CONICET Digital
CONICET
url http://hdl.handle.net/11336/192542
identifier_str_mv Gonzalez Alvaredo, Facundo; A note on the relationship between top income shares and the Gini coefficient; North-holland; Economics Letters; 110; 3; 3-2011; 274-277
0165-1765
1873-7374
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/url/https://www.sciencedirect.com/science/article/pii/S0165176510003460
info:eu-repo/semantics/altIdentifier/doi/10.1016/j.econlet.2010.10.008
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
application/pdf
dc.publisher.none.fl_str_mv North-holland
publisher.none.fl_str_mv North-holland
dc.source.none.fl_str_mv reponame:CONICET Digital (CONICET)
instname:Consejo Nacional de Investigaciones Científicas y Técnicas
reponame_str CONICET Digital (CONICET)
collection CONICET Digital (CONICET)
instname_str Consejo Nacional de Investigaciones Científicas y Técnicas
repository.name.fl_str_mv CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas
repository.mail.fl_str_mv dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar
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score 13.13397

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