Geometric and Stochastic Representations for Elliptically Contoured Distributions
A non Euclidean geometric measure representation for elliptically contoured distributions and a stochastic representation for corresponding random vectors are derived in a similar way as analogous representations were derived in Richter (2007)Richter (2009) for l n, p -symmetric distributions. The ball number function and the indivisiblen method of Cavalieri and Torricelli are extended to ellipsoids.