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Consider an $n \times p$ data matrix $X$ whose rows are independently sampled from a population with covariance $\Sigma$.
“Distribution of eigenvalues for some sets of random matrices”
Vladimir˜Alexandrovich Marchenko and Leonid˜Andreevich Pastur · 1967
Earlier work this paper cites.
“Signal detection via spectral theory of large dimensional random matrices”
Jack˜W Silverstein and Patrick˜L Combettes · 1992
Earlier work this paper cites.
“Strong convergence of the empirical distribution of eigenvalues of large dimensional random matrices”
Jack˜W Silverstein · 1995
Earlier work this paper cites.
“Analysis of the limiting spectral distribution of large dimensional random matrices”
Jack˜W Silverstein and Sang-Il Choi · 1995
Earlier work this paper cites.
“A framework for uplink power control in cellular radio systems”
Roy˜D. Yates · 1995
Earlier work this paper cites.
“Theory of Stochastic Canonical Equations”
Vi͡acheslav˜Leonidovich Girko · 2001
Earlier work this paper cites.
“An Introduction to Multivariate Statistical Analysis”
Theodore˜Wilbur Anderson · 2003
Earlier work this paper cites.
“Random Matrix Theory and Wireless Communications”
Antonio˜M Tulino and Sergio Verd“’u · 2004
Earlier work this paper cites.
“CLT for linear spectral statistics of large-dimensional sample covariance matrices”
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Earlier work this paper cites.
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Alexandru Nica and Roland Speicher · 2006
Earlier work this paper cites.
“Multiparametric Statistics”
Vadim˜Ivanovich Serdobolskii · 2007
Earlier work this paper cites.
“High dimensional statistical inference and random matrices”
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Earlier work this paper cites.
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Earlier work this paper cites.
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