Central Limit Theorems for S-Gini and Theil Inequality Coefficients
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| Format: | Artículo científico |
| Language: | en |
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Universidad Nacional de Colombia
2007
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| _version_ | 1876484495728705536 |
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| author | Pablo Martínez-Camblor |
| author_facet | Pablo Martínez-Camblor |
| contents | Central Limit Theorems for S-Gini and Theil Inequality Coefficients Pablo Martínez-Camblor Física, Astronomía y Matemáticas Gini index Theil index Hungarian construction Kernel density estimation The Hungarian Construction (Komlós et al. 1975) is used for gettinga proof of asymptotic normality of S-Gini coefficient; this method is veryinteresting because it can be used to check asymptotic normality of otherincome inequality measures as Theil coefficient. Besides, explicit expressionsof asymptotic means and variances are given for S-Gini and Theil estimators.Finally, to illustrate the performance of obtained results, we carry outa simulation study comparing the asymptotic and Smoothed Bootstrap approximations. 2007 artículo científico 0120-1751 https://www.redalyc.org/articulo.oa?id=89930209 en http://www.redalyc.org/revista.oa?id=899 Revista Colombiana de Estadística application/pdf Universidad Nacional de Colombia Revista Colombiana de Estadística (Colombia) Num.2 Vol.30 |
| format | Artículo científico |
| id | redalyc_89930209 |
| institution | Redalyc |
| language | en |
| publishDate | 2007 |
| publisher | Universidad Nacional de Colombia |
| spellingShingle | Central Limit Theorems for S-Gini and Theil Inequality Coefficients Pablo Martínez-Camblor Física, Astronomía y Matemáticas Gini index Theil index Hungarian construction Kernel density estimation Central Limit Theorems for S-Gini and Theil Inequality Coefficients Pablo Martínez-Camblor Física, Astronomía y Matemáticas Gini index Theil index Hungarian construction Kernel density estimation The Hungarian Construction (Komlós et al. 1975) is used for gettinga proof of asymptotic normality of S-Gini coefficient; this method is veryinteresting because it can be used to check asymptotic normality of otherincome inequality measures as Theil coefficient. Besides, explicit expressionsof asymptotic means and variances are given for S-Gini and Theil estimators.Finally, to illustrate the performance of obtained results, we carry outa simulation study comparing the asymptotic and Smoothed Bootstrap approximations. 2007 artículo científico 0120-1751 https://www.redalyc.org/articulo.oa?id=89930209 en http://www.redalyc.org/revista.oa?id=899 Revista Colombiana de Estadística application/pdf Universidad Nacional de Colombia Revista Colombiana de Estadística (Colombia) Num.2 Vol.30 |
| title | Central Limit Theorems for S-Gini and Theil Inequality Coefficients |
| topic | Física, Astronomía y Matemáticas Gini index Theil index Hungarian construction Kernel density estimation |
| url | https://www.redalyc.org/articulo.oa?id=89930209 |