Characterizations of inequality orderings by means of dispersive orderings

The generalized Lorenz order and the absolute Lorenz order are used in economics to compare income distributions in terms of social welfare. In Section 2, we show that these orders are equivalent to two stochastic orders, the concave order and the dilation order, which are used to compare the disper...

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Detalles Bibliográficos
Autores: Ramos Romero, H. M., Sordo Díaz, M. A.
Tipo de recurso: artículo
Fecha de publicación:2002
País:España
Institución:Universitat Politècnica de Catalunya (UPC)
Repositorio:UPCommons. Portal del coneixement obert de la UPC
Idioma:inglés
OAI Identifier:oai:upcommons.upc.edu:2099/4179
Acceso en línea:https://hdl.handle.net/2099/4179
Access Level:acceso abierto
Palabra clave:Distribution (Probability theory)
Generalized Lorenz Order
Absolute lorenz order
Concave order
Dilation order
Distribució (Teoria de la probabilitat)
Classificació AMS::60 Probability theory and stochastic processes::60E Distribution theory
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spelling Characterizations of inequality orderings by means of dispersive orderingsRamos Romero, H. M.Sordo Díaz, M. A.Distribution (Probability theory)Generalized Lorenz OrderAbsolute lorenz orderConcave orderDilation orderDistribució (Teoria de la probabilitat)Classificació AMS::60 Probability theory and stochastic processes::60E Distribution theoryThe generalized Lorenz order and the absolute Lorenz order are used in economics to compare income distributions in terms of social welfare. In Section 2, we show that these orders are equivalent to two stochastic orders, the concave order and the dilation order, which are used to compare the dispersion of probability distributions. In Section 3, a sufficient condition for the absolute Lorenz order, which is often easy to verify in practice, is presented. This condition is applied in Section 4 to the ordering of generalized gamma distributions with different parameters.Institut d'Estadística de Catalunya20022002-01-0120072007-12-11journal articlehttp://purl.org/coar/resource_type/c_6501NAhttp://purl.org/coar/version/c_be7fb7dd8ff6fe43info:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/2099/4179reponame:UPCommons. Portal del coneixement obert de la UPCinstname:Universitat Politècnica de Catalunya (UPC)Inglésengopen accesshttp://purl.org/coar/access_right/c_abf2Attribution-NonCommercial-NoDerivs 2.5 Spainhttp://creativecommons.org/licenses/by-nc-nd/2.5/es/info:eu-repo/semantics/openAccessoai:upcommons.upc.edu:2099/41792026-05-27T15:37:01Z
dc.title.none.fl_str_mv Characterizations of inequality orderings by means of dispersive orderings
title Characterizations of inequality orderings by means of dispersive orderings
spellingShingle Characterizations of inequality orderings by means of dispersive orderings
Ramos Romero, H. M.
Distribution (Probability theory)
Generalized Lorenz Order
Absolute lorenz order
Concave order
Dilation order
Distribució (Teoria de la probabilitat)
Classificació AMS::60 Probability theory and stochastic processes::60E Distribution theory
title_short Characterizations of inequality orderings by means of dispersive orderings
title_full Characterizations of inequality orderings by means of dispersive orderings
title_fullStr Characterizations of inequality orderings by means of dispersive orderings
title_full_unstemmed Characterizations of inequality orderings by means of dispersive orderings
title_sort Characterizations of inequality orderings by means of dispersive orderings
dc.creator.none.fl_str_mv Ramos Romero, H. M.
Sordo Díaz, M. A.
author Ramos Romero, H. M.
author_facet Ramos Romero, H. M.
Sordo Díaz, M. A.
author_role author
author2 Sordo Díaz, M. A.
author2_role author
dc.subject.none.fl_str_mv Distribution (Probability theory)
Generalized Lorenz Order
Absolute lorenz order
Concave order
Dilation order
Distribució (Teoria de la probabilitat)
Classificació AMS::60 Probability theory and stochastic processes::60E Distribution theory
topic Distribution (Probability theory)
Generalized Lorenz Order
Absolute lorenz order
Concave order
Dilation order
Distribució (Teoria de la probabilitat)
Classificació AMS::60 Probability theory and stochastic processes::60E Distribution theory
description The generalized Lorenz order and the absolute Lorenz order are used in economics to compare income distributions in terms of social welfare. In Section 2, we show that these orders are equivalent to two stochastic orders, the concave order and the dilation order, which are used to compare the dispersion of probability distributions. In Section 3, a sufficient condition for the absolute Lorenz order, which is often easy to verify in practice, is presented. This condition is applied in Section 4 to the ordering of generalized gamma distributions with different parameters.
publishDate 2002
dc.date.none.fl_str_mv 2002
2002-01-01
2007
2007-12-11
dc.type.none.fl_str_mv journal article
http://purl.org/coar/resource_type/c_6501
NA
http://purl.org/coar/version/c_be7fb7dd8ff6fe43
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://hdl.handle.net/2099/4179
url https://hdl.handle.net/2099/4179
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
Attribution-NonCommercial-NoDerivs 2.5 Spain
http://creativecommons.org/licenses/by-nc-nd/2.5/es/
dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv open access
http://purl.org/coar/access_right/c_abf2
Attribution-NonCommercial-NoDerivs 2.5 Spain
http://creativecommons.org/licenses/by-nc-nd/2.5/es/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Institut d'Estadística de Catalunya
publisher.none.fl_str_mv Institut d'Estadística de Catalunya
dc.source.none.fl_str_mv reponame:UPCommons. Portal del coneixement obert de la UPC
instname:Universitat Politècnica de Catalunya (UPC)
instname_str Universitat Politècnica de Catalunya (UPC)
reponame_str UPCommons. Portal del coneixement obert de la UPC
collection UPCommons. Portal del coneixement obert de la UPC
repository.name.fl_str_mv
repository.mail.fl_str_mv
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