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...
| Autores: | , |
|---|---|
| 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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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/ |
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info:eu-repo/semantics/openAccess |
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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/ |
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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 |
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reponame:UPCommons. Portal del coneixement obert de la UPC instname:Universitat Politècnica de Catalunya (UPC) |
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Universitat Politècnica de Catalunya (UPC) |
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UPCommons. Portal del coneixement obert de la UPC |
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UPCommons. Portal del coneixement obert de la UPC |
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1869418147931488256 |
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15,301603 |