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The empirical distribution of the eigenvalues of a Gram matrix with a given variance profile

✍ Scribed by W. Hachem; P. Loubaton; J. Najim

Book ID: 108052865
Publisher: Elsevier Science
Year: 2006
Tongue: English
Weight: 300 KB
Volume: 42
Category: Article
ISSN: 0246-0203
DOI: 10.1016/j.anihpb.2005.10.001

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A stronger result on the limiting distribution of the eigenvalues of random Hermitian matrices of the form \(A+X T X^{*}\), originally studied in Marcenko and Pastur, is presented. Here, \(X(N \times n), T(n \times n)\), and \(A(N \times N)\) are independent, with \(X\) containing i.i.d. entries hav