Eigenvalue distributions of beta-Wishart matrices

We derive explicit expressions for the distributions of the extreme eigenvalues of the Beta-Wishart random matrices in terms of the hypergeometric function of a matrix argument. These results generalize the classical results for the real (β = 1), complex (β = 2), and quaternion (β = 4) Wishart matri...

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Bibliographic Details
Main Authors: Edelman, Alan, Koev, Plamen S
Other Authors: Massachusetts Institute of Technology. Department of Mathematics
Format: Article
Published: World Scientific Pub Co Pte Lt 2018
Subjects:
Online Access:http://hdl.handle.net/1721.1/116006
https://orcid.org/0000-0001-7676-3133