Please use this identifier to cite or link to this item:
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 | |
Appears in Collections: | Reportes Técnicos - Probabilidad y Estadística |
Upload archives
File | Size | Format | |
---|---|---|---|
I-09-04.pdf | 495.07 kB | Adobe PDF | View/Open |