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http://cimat.repositorioinstitucional.mx/jspui/handle/1008/611| On Free and Classical Type G Distributions | |
| OCTAVIO ARIZMENDI ECHEGARAY | |
| Acceso Abierto | |
| Atribución-NoComercial | |
| Procesos de Levy | |
| There is a one-to-one correspondence between classical one-dimensional in fi - nitely divisible distributions and free in fi nitely divisible distributions. In this work westudythefreein fi nitely divisible distributions corresponding to the one-dimensional type distributions. A new characterization of classical type distributions is given fi rst and the class of type classical in fi nitely divisible distributions is in- troduced. The corresponding free type distributions are studied and the role of a special symmetric beta distribution is shown as a building block for free type distributions. It is proved that this symmetric beta distribution is the free multi- plicative convolution of an arcsine distribution with the Marchenko-Pastur distrib- ution. | |
| Centro de Investigación en Matemáticas AC | |
| 13-04-2009 | |
| Reporte | |
| Inglés | |
| Investigadores | |
| PROCESOS DE MARKOV | |
| Versión publicada | |
| publishedVersion - Versión publicada | |
| Aparece en las colecciones: | Reportes Técnicos - Probabilidad y Estadística |
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| Fichero | Tamaño | Formato | |
|---|---|---|---|
| I-09-04.pdf | 495.07 kB | Adobe PDF | Visualizar/Abrir |