References
- Andersson , S. A. , Wojnar , G. ( 2004 ). The Wishart distribution on homogeneous cones . J. Theoret. Probab. 17 : 781 – 818 .
- Andersson , S. A. , Letac , G. , Massam , H. ( 2005 ). Homogeneous cones. Submitted .
- Bobecka , K. , Wesołowski , J. ( 2002 ). The Lukacs–Olkin–Rubin theorem without invariance of the “quotient” . Studia Math. 152 : 147 – 160 .
- Boutouria , I. ( 2005 ). Characterization of the Wishart distribution on homogeneous cones . C. R. Acad. Sci. Paris Ser. I 341 : 43 – 48 .
- Carter , E. M. ( 1975 ). Characterization and Testing Problems in the Complex Wishart Distribution. Thesis, University of Toronto .
- Casalis , M. , Letac , G. ( 1996 ). The Lukacs Olkin Rubin characterization of the Wishart distribution on symmetric cones . Ann. Math. Statist 24 : 763 – 786 .
- Letac , G. , Massam , H. ( 1998 ). Quadratic and inverse regression for Wishart distributions . Ann. Statist. 26 : 573 – 595 .
- Olkin , I. , Rubin , H. ( 1962 ). A characterization of the Wishart distribution . Ann. Math. Statist. 33 : 1272 – 1280 .
- Vinberg , E. B. ( 1965 ). The structure of the group of automorphisms of a convex homogeneous cone . Trans. Moskow Math. Soc. 13 : 63 – 93 .