Unitary invariant and residual independent matrix distributions

Define Z13 = A½Y(A½)H (A and Y are independent) and Z15 = B½Y(B½)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.

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Bibliographic Details
Main Authors: Gupta,Arjun K., Nagar,Daya K., Vélez-Carvajal,Astrid M.
Format: Digital revista
Language:English
Published: Sociedade Brasileira de Matemática Aplicada e Computacional 2009
Online Access:http://old.scielo.br/scielo.php?script=sci_arttext&pid=S1807-03022009000100004
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Summary:Define Z13 = A½Y(A½)H (A and Y are independent) and Z15 = B½Y(B½)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.