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.
@article{urn:eudml:doc:44501, title = {A survey on continuous elliptical vector distributions.}, journal = {Revista Matem\'atica de la Universidad Complutense de Madrid}, volume = {16}, year = {2003}, pages = {345-361}, zbl = {1041.60016}, mrnumber = {MR2031887}, language = {en}, url = {http://dml.mathdoc.fr/item/urn:eudml:doc:44501} }
Gómez, Eusebio; Gómez-Villegas, Miguel A.; Marín, J. Miguel. A survey on continuous elliptical vector distributions.. Revista Matemática de la Universidad Complutense de Madrid, Tome 16 (2003) pp. 345-361. http://gdmltest.u-ga.fr/item/urn:eudml:doc:44501/