Limit theorems for spectra of positive random matrices under dependence
Zapiski Nauchnykh Seminarov POMI, Probability and statistics. Part 7, Tome 311 (2004), pp. 92-123

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We study classical ensembles of sample covariance matrices introduced by Wishart. We discuss Stein's method for the asymptotic approximation of expectations of functions of the normalized eigenvalue counting measure of high dimensional matrices. The method is based on a differential equation for the density of the Marchenko–Pastur law.
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     author = {F. G\"otze and A. N. Tikhomirov},
     title = {Limit theorems for spectra of positive random matrices under dependence},
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F. Götze; A. N. Tikhomirov. Limit theorems for spectra of positive random matrices under dependence. Zapiski Nauchnykh Seminarov POMI, Probability and statistics. Part 7, Tome 311 (2004), pp. 92-123. http://geodesic.mathdoc.fr/item/ZNSL_2004_311_a4/