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 SizeFormat 
I-09-04.pdf495.07 kBAdobe PDFView/Open