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Concentration of the spectral measure for large random matrices with stable entries (2008)

by C HOUDRE, H XU
Venue:Electron. J. Probab
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Concentration of the spectral measure of large Wishart matrices with dependent entries

by Hannes Leeb , 2008
"... We derive concentration inequalities for the spectral measure of large random matrices, allowing for certain forms of dependence. Our main focus is on empirical covariance (Wishart) matrices, but general symmetric random matrices are also considered. 1 ..."
Abstract - Cited by 9 (0 self) - Add to MetaCart
We derive concentration inequalities for the spectral measure of large random matrices, allowing for certain forms of dependence. Our main focus is on empirical covariance (Wishart) matrices, but general symmetric random matrices are also considered. 1

ELECTRONIC COMMUNICATIONS in PROBABILITY CONCENTRATION OF THE SPECTRAL MEASURE OF LARGEWISHART MATRICES WITH DEPENDENT ENTRIES

by Adityanand Guntuboyina , 2008
"... We derive concentration inequalities for the spectral measure of large random matrices, allowing for certain forms of dependence. Our main focus is on empirical covariance (Wishart) matrices, but general symmetric random matrices are also considered. 1 ..."
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We derive concentration inequalities for the spectral measure of large random matrices, allowing for certain forms of dependence. Our main focus is on empirical covariance (Wishart) matrices, but general symmetric random matrices are also considered. 1
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...itouni [9], who considered Wishart matrices X ′X/m where the entries Xi, j of X are independent, as well as Hermitian matrices with independent entries on and above the diagonal, and by Houdre and Xu =-=[11]-=-, who obtained concentration results for random matrices with stable entries, thus allowing for certain forms of dependence. For matrices with dependent entries, we find that concentration of the spec...

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