%0 Journal Article
%T Unitary invariant and residual independent matrix distributions
%A Arjun K. Gupta
%A Daya K. Nagar
%A Astrid M. V¨Ślez-Carvajal
%J Computational and Applied Mathematics
%D 2009
%I 
%X Define Z13 = A Y(A )H (A and Y are independent) and Z15 = B Y(B )H (B and Y are independent), where Y, A and B follow inverted complex Wishart, complex beta type I and complex beta type II distributions, respectively. In this article several properties including expected values of scalar and matrix valued functions of Z13 and Z15 are derived.
%K beta distribution
%K inverted complex Wishart
%K complex random matrix
%K Gauss hypergeometric function
%K residual independent
%K unitary invariant
%K zonal polynomial
%U http://www.scielo.br/scielo.php?script=sci_arttext&pid=S1807-03022009000100004