The Similarity between the Square of the Coefficient of Variation and the Gini Index of a General Random Variable
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| Format: | Artículo científico |
| Language: | en |
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Universidad Pablo de Olavide
2010
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| author | Luis González Abril |
| author_facet | Luis González Abril |
| contents | The Similarity between the Square of the Coefficient of Variation and the Gini Index of a General Random Variable Luis González Abril Francisco Velasco Morente José Manuel Gavilán Ruiz Luis María Sánchez-Reyes Fernández Economía y Finanzas Lorenz curve mean difference Concentration measures cumulative distribution function In this paper, several identities concerning expectation, variance, covariance, cumulative distribution functions, the coefficient of variation, and the Lorenz curve are obtained and they are used in establishing theoretical results. Furthermore, a graphical representation of the variance is proposed which, together with the aforementioned identities, enables the square of the coefficient of variation to be considered as an equality measure in the same way as is the Gini index. A study of the similarities between the theoretical expression of the Gini index and the square of the coefficient of variation is also carried out in this paper. 2010 artículo científico 1886-516X https://www.redalyc.org/articulo.oa?id=233116358002 en http://www.redalyc.org/revista.oa?id=2331 Revista de Métodos Cuantitativos para la Economía y la Empresa application/pdf Universidad Pablo de Olavide Revista de Métodos Cuantitativos para la Economía y la Empresa (España) Vol.10 |
| format | Artículo científico |
| id | redalyc_233116358002 |
| institution | Redalyc |
| language | en |
| publishDate | 2010 |
| publisher | Universidad Pablo de Olavide |
| spellingShingle | The Similarity between the Square of the Coefficient of Variation and the Gini Index of a General Random Variable Luis González Abril Economía y Finanzas Lorenz curve mean difference Concentration measures cumulative distribution function The Similarity between the Square of the Coefficient of Variation and the Gini Index of a General Random Variable Luis González Abril Francisco Velasco Morente José Manuel Gavilán Ruiz Luis María Sánchez-Reyes Fernández Economía y Finanzas Lorenz curve mean difference Concentration measures cumulative distribution function In this paper, several identities concerning expectation, variance, covariance, cumulative distribution functions, the coefficient of variation, and the Lorenz curve are obtained and they are used in establishing theoretical results. Furthermore, a graphical representation of the variance is proposed which, together with the aforementioned identities, enables the square of the coefficient of variation to be considered as an equality measure in the same way as is the Gini index. A study of the similarities between the theoretical expression of the Gini index and the square of the coefficient of variation is also carried out in this paper. 2010 artículo científico 1886-516X https://www.redalyc.org/articulo.oa?id=233116358002 en http://www.redalyc.org/revista.oa?id=2331 Revista de Métodos Cuantitativos para la Economía y la Empresa application/pdf Universidad Pablo de Olavide Revista de Métodos Cuantitativos para la Economía y la Empresa (España) Vol.10 |
| title | The Similarity between the Square of the Coefficient of Variation and the Gini Index of a General Random Variable |
| topic | Economía y Finanzas Lorenz curve mean difference Concentration measures cumulative distribution function |
| url | https://www.redalyc.org/articulo.oa?id=233116358002 |