A note on the relationship between top income shares and the Gini coefficient
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...
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| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2011 |
| País: | Argentina |
| Institución: | Consejo Nacional de Investigaciones Científicas y Técnicas |
| Repositorio: | CONICET Digital (CONICET) |
| Idioma: | inglés |
| OAI Identifier: | oai:ri.conicet.gov.ar:11336/192542 |
| Acceso en línea: | http://hdl.handle.net/11336/192542 |
| Access Level: | acceso abierto |
| Palabra clave: | GINI COEFFICIENT PARETO DISTRIBUTION TOP INCOME SHARES https://purl.org/becyt/ford/5.2 https://purl.org/becyt/ford/5 |
| Sumario: | 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. |
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