A survey on continuous elliptical vector distributions
- Marín, J. Miguel
- Gómez Villegas, Miguel Ángel
- Gómez, Eusebio
ISSN: 1139-1138, 1988-2807
Any de publicació: 2003
Volum: 16
Número: 1
Pàgines: 345-361
Tipus: Article
Altres publicacions en: Revista matemática complutense
Resum
In this paper it is taken up a revision and characterization of the class of absolutely continuous elliptical distributions upon a parameterization based on the density function. Their properties (probabilistic characteristics, affine transformations, marginal and conditional distributions and regression) are shown in a practical and easy to interpret way. Two examples are fully undertaken: the multivariate double exponential distribution and the multivariate uniform distribution.