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Expectations of Functions of Complex Wishart Matrix

Expectations of Functions of Complex Wishart Matrix In this article, we study lower and upper triangular factorizations of the complex Wishart matrix. Further, using these factorizations, we obtain several expected values of scalar and matrix valued functions of the complex Wishart matrix. We also generalize Muirhead’s identity for the complex case which gives a number of interesting special cases. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Acta Applicandae Mathematicae Springer Journals

Expectations of Functions of Complex Wishart Matrix

Acta Applicandae Mathematicae , Volume 113 (3) – Jan 19, 2011

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References (32)

Publisher
Springer Journals
Copyright
Copyright © 2011 by Springer Science+Business Media B.V.
Subject
Mathematics; Mechanics; Statistical Physics, Dynamical Systems and Complexity; Theoretical, Mathematical and Computational Physics; Computer Science, general; Mathematics, general
ISSN
0167-8019
eISSN
1572-9036
DOI
10.1007/s10440-010-9599-x
Publisher site
See Article on Publisher Site

Abstract

In this article, we study lower and upper triangular factorizations of the complex Wishart matrix. Further, using these factorizations, we obtain several expected values of scalar and matrix valued functions of the complex Wishart matrix. We also generalize Muirhead’s identity for the complex case which gives a number of interesting special cases.

Journal

Acta Applicandae MathematicaeSpringer Journals

Published: Jan 19, 2011

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