-
1
-
-
22044453079
-
No eigenvalues outside the support of the limiting spectral distribution of large dimensional sample covariance matrices
-
Bai Z.D., Silverstein J.W. No eigenvalues outside the support of the limiting spectral distribution of large dimensional sample covariance matrices. Ann. Probab. 1998, 26:316-345.
-
(1998)
Ann. Probab.
, vol.26
, pp. 316-345
-
-
Bai, Z.D.1
Silverstein, J.W.2
-
2
-
-
0033164056
-
Exact separation of eigenvalues of large dimensional sample covariance matrices
-
Bai Z.D., Silverstein J.W. Exact separation of eigenvalues of large dimensional sample covariance matrices. Ann. Probab. 1999, 27(3):1536-1555.
-
(1999)
Ann. Probab.
, vol.27
, Issue.3
, pp. 1536-1555
-
-
Bai, Z.D.1
Silverstein, J.W.2
-
4
-
-
63849341672
-
Central limit theorems for eigenvalues in a spiked population model
-
Bai Z.D., Yao J.F. Central limit theorems for eigenvalues in a spiked population model. Ann. Inst. H. Poincaré Probab. Statist. 2008, 44:447-474.
-
(2008)
Ann. Inst. H. Poincaré Probab. Statist.
, vol.44
, pp. 447-474
-
-
Bai, Z.D.1
Yao, J.F.2
-
5
-
-
33646507506
-
Eigenvalues of large sample covariance matrices of spiked population models
-
Baik J., Silverstein J.W. Eigenvalues of large sample covariance matrices of spiked population models. J. Multivariate. Anal. 2006, 97:1382-1408.
-
(2006)
J. Multivariate. Anal.
, vol.97
, pp. 1382-1408
-
-
Baik, J.1
Silverstein, J.W.2
-
6
-
-
27644476898
-
Phase transition of the largest eigenvalue for nonnull complex sample covariance matrices
-
Baik J., Ben Arous G., Péché S. Phase transition of the largest eigenvalue for nonnull complex sample covariance matrices. Ann. Probab. 2005, 33(5):1643-1697.
-
(2005)
Ann. Probab.
, vol.33
, Issue.5
, pp. 1643-1697
-
-
Baik, J.1
Ben Arous, G.2
Péché, S.3
-
7
-
-
77949542267
-
The eigenvalues and eigenvectors of finite, low rank perturbations of large random matrices
-
arxiv:0910.2120, Technical Report.
-
F. Benaych-Georges, N. Raj Rao, The eigenvalues and eigenvectors of finite, low rank perturbations of large random matrices, Technical Report, 2009, arxiv:0910.2120.
-
(2009)
-
-
Benaych-Georges, F.1
Raj Rao, N.2
-
8
-
-
79952697984
-
Fluctuations of the extreme eigenvalues of finite rank deformations of random matrices
-
Technical Report. arxiv:1009.0145
-
F. Benaych-Georges, A. Guionnet, M. Maïda, Fluctuations of the extreme eigenvalues of finite rank deformations of random matrices, Technical Report, 2010, arxiv:1009.0145.
-
(2010)
-
-
Benaych-Georges, F.1
Guionnet, A.2
Maïda, M.3
-
9
-
-
63049133332
-
The largest eigenvalues of finite rank deformation of large Wigner matrices: convergence and nonuniversality of the fluctuations
-
Capitaine Mireille, Donati-Martin Catherine, Féral Delphine The largest eigenvalues of finite rank deformation of large Wigner matrices: convergence and nonuniversality of the fluctuations. Ann. Probab. 2009, 37(1):1-47.
-
(2009)
Ann. Probab.
, vol.37
, Issue.1
, pp. 1-47
-
-
Capitaine, M.1
Donati-Martin, C.2
Féral, D.3
-
10
-
-
34248227713
-
The largest eigenvalue of rank one deformation of large Wigner matrices
-
Féral D., Péché S. The largest eigenvalue of rank one deformation of large Wigner matrices. Comm. Math. Phys. 2007, 272(1):185-228.
-
(2007)
Comm. Math. Phys.
, vol.272
, Issue.1
, pp. 185-228
-
-
Féral, D.1
Péché, S.2
-
11
-
-
0035641726
-
On the distribution of the largest eigenvalue in principal components analysis
-
Johnstone I. On the distribution of the largest eigenvalue in principal components analysis. Ann. Statistics 2001, 29(2):295-327.
-
(2001)
Ann. Statistics
, vol.29
, Issue.2
, pp. 295-327
-
-
Johnstone, I.1
-
12
-
-
0000263234
-
Distribution of eigenvalues for some sets of random matrices
-
Marčenko V.A., Pastur L.A. Distribution of eigenvalues for some sets of random matrices. Math. USSR-Sb 1967, 1:457-483.
-
(1967)
Math. USSR-Sb
, vol.1
, pp. 457-483
-
-
Marčenko, V.A.1
Pastur, L.A.2
-
13
-
-
84856666815
-
Asymptotics of the principal components estimator of large factor models with weak factors
-
Alexei Onatski, Technical Report, Columbia University.
-
Alexei Onatski, Asymptotics of the principal components estimator of large factor models with weak factors, Technical Report, Columbia University, 2005.
-
(2005)
-
-
-
14
-
-
38549175880
-
Asymptotics of sample eigenstruture for a large dimensional spiked covariance mode
-
Paul Debashis Asymptotics of sample eigenstruture for a large dimensional spiked covariance mode. Statistica Sinica 2007, 17:1617-1642.
-
(2007)
Statistica Sinica
, vol.17
, pp. 1617-1642
-
-
Paul, D.1
-
15
-
-
28144463102
-
The largest eigenvalue of small rank perturbations of Hermitian random matrices
-
Péché S. The largest eigenvalue of small rank perturbations of Hermitian random matrices. Probab. Theory Related Fields 2006, 134(1):127-173.
-
(2006)
Probab. Theory Related Fields
, vol.134
, Issue.1
, pp. 127-173
-
-
Péché, S.1
-
16
-
-
0002627253
-
Strong convergence of the empirical distribution of eigenvalues of large-dimensional random matrices
-
Silverstein Jack W. Strong convergence of the empirical distribution of eigenvalues of large-dimensional random matrices. J. Multivariate Anal. 1995, 55(2):331-339.
-
(1995)
J. Multivariate Anal.
, vol.55
, Issue.2
, pp. 331-339
-
-
Silverstein, J.W.1
-
17
-
-
58149320175
-
Analysis of the limiting spectral distribution of large-dimensional random matrices
-
Silverstein Jack W., Choi Sang-Il Analysis of the limiting spectral distribution of large-dimensional random matrices. J. Multivariate Anal. 1995, 54(2):295-309.
-
(1995)
J. Multivariate Anal.
, vol.54
, Issue.2
, pp. 295-309
-
-
Silverstein, J.W.1
Choi, S.-I.2
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