Riesz inverse Gaussian distributions

On the projections of the Dirichlet probability distribution on symmetric cones

“…We now use a result due to Hassairi et al [5] which says that for all 1 i q, P k (Y i ) is a Riesz random variable with parameters s i and σ 1 − P (σ 12 )σ −1 0 , where σ 1 , σ 12 , σ 0 are the peirce components with respect to c 1 + · · · + c k of σ . Since P k (Y 1 ), .…”

“…We know use a result due to Hassairi et al [5] which says that for all 1 i q, (P * j (Y −1 i )) −1 is a Riesz random variable with parameters s i − (r − j) d Since (P * j (Y −1 1 )) −1 , . .…”