-
2
-
-
69049101180
-
High-dimensional analysis of semidefinite relaxations for sparse principal components
-
Amini A., Wainwright M. High-dimensional analysis of semidefinite relaxations for sparse principal components. Annals of Statistics 2008, 37:2877-2921.
-
(2008)
Annals of Statistics
, vol.37
, pp. 2877-2921
-
-
Amini, A.1
Wainwright, M.2
-
6
-
-
0242279604
-
On the asymptotic distribution of the eigenvalues of random matrices
-
Arnold L. On the asymptotic distribution of the eigenvalues of random matrices. Journal of Mathematical Analysis and Applications 1967, 20:262-268.
-
(1967)
Journal of Mathematical Analysis and Applications
, vol.20
, pp. 262-268
-
-
Arnold, L.1
-
9
-
-
0040789651
-
Random matrix model for superconductors in a magnetic field
-
Bahcall S.R. Random matrix model for superconductors in a magnetic field. Physical Review Letters 1996, 77:5276-5279.
-
(1996)
Physical Review Letters
, vol.77
, pp. 5276-5279
-
-
Bahcall, S.R.1
-
10
-
-
0037277111
-
Inferential theory for factor models for large dimensions
-
Bai J. Inferential theory for factor models for large dimensions. Econometrica 2003, 71:135-171.
-
(2003)
Econometrica
, vol.71
, pp. 135-171
-
-
Bai, J.1
-
11
-
-
0036221554
-
Determining the number of factors in approximate factor models
-
Bai J., Ng S. Determining the number of factors in approximate factor models. Econometrika 2002, 70:191-221.
-
(2002)
Econometrika
, vol.70
, pp. 191-221
-
-
Bai, J.1
Ng, S.2
-
12
-
-
33846119127
-
Determining the number of primitive shocks in factor models
-
Bai J., Ng S. Determining the number of primitive shocks in factor models. Journal of Business and Economic Statistics 2007, 25:52-60.
-
(2007)
Journal of Business and Economic Statistics
, vol.25
, pp. 52-60
-
-
Bai, J.1
Ng, S.2
-
13
-
-
0009128834
-
Convergence rate of expected spectral distributions of large random matrices. Part I. Wigner matrices
-
Bai Z.D. Convergence rate of expected spectral distributions of large random matrices. Part I. Wigner matrices. Annals of Probability 1993, 21:625-648.
-
(1993)
Annals of Probability
, vol.21
, pp. 625-648
-
-
Bai, Z.D.1
-
14
-
-
0009128834
-
Convergence rate of expected spectral distributions of large random matrices. Part II. Sample covariance matrices
-
Bai Z.D. Convergence rate of expected spectral distributions of large random matrices. Part II. Sample covariance matrices. Annals of Probability 1993, 21:649-672.
-
(1993)
Annals of Probability
, vol.21
, pp. 649-672
-
-
Bai, Z.D.1
-
15
-
-
0347989448
-
Methodologies in spectral analysis of large dimensional random matrices, a review
-
Bai Z.D. Methodologies in spectral analysis of large dimensional random matrices, a review. Statistica Sinica 1999, 9:611-677.
-
(1999)
Statistica Sinica
, vol.9
, pp. 611-677
-
-
Bai, Z.D.1
-
16
-
-
78650655959
-
On estimation of the population spectral distribution from a high-dimensional sample covariance matrix
-
Bai Z.D., Chen J.Q., Yao J.-F. On estimation of the population spectral distribution from a high-dimensional sample covariance matrix. Australian and New Zealand Journal of Statistics 2010, 52:423-437.
-
(2010)
Australian and New Zealand Journal of Statistics
, vol.52
, pp. 423-437
-
-
Bai, Z.D.1
Chen, J.Q.2
Yao, J.-F.3
-
17
-
-
84900480708
-
-
Convergence of the Empirical Spectral Distribution Function of Beta Matrices. Technical Report.
-
Bai, Z.D., Hu, J., Pan, G.M., Zhou, W., 2012. Convergence of the Empirical Spectral Distribution Function of Beta Matrices. Technical Report. http://arXiv:1208.5953.
-
(2012)
-
-
Bai, Z.D.1
Hu, J.2
Pan, G.M.3
Zhou, W.4
-
18
-
-
73949135723
-
Corrections to LRT on large-dimensional covariance matrix by RMT
-
Bai Z.D., Jiang D., Yao J.-F., Zheng S. Corrections to LRT on large-dimensional covariance matrix by RMT. Annals of Statistics 2009, 37:3822-3840.
-
(2009)
Annals of Statistics
, vol.37
, pp. 3822-3840
-
-
Bai, Z.D.1
Jiang, D.2
Yao, J.-F.3
Zheng, S.4
-
19
-
-
84900517887
-
-
Testing Linear Hypothesis in High-Dimensional Regression. Technical Report.
-
Bai, Z.D., Jiang, D., Yao, J.-F., Zheng, S., 2012. Testing Linear Hypothesis in High-Dimensional Regression. Technical Report. http://arXiv:1206.0867.
-
(2012)
-
-
Bai, Z.D.1
Jiang, D.2
Yao, J.-F.3
Zheng, S.4
-
20
-
-
69749092567
-
On the Markowitz mean-variance analysis of self-financing portfolios
-
Bai Z.D., Liu H.X., Wong W.K. On the Markowitz mean-variance analysis of self-financing portfolios. Risk and Decision Analysis 2009, 1:35-42.
-
(2009)
Risk and Decision Analysis
, vol.1
, pp. 35-42
-
-
Bai, Z.D.1
Liu, H.X.2
Wong, W.K.3
-
21
-
-
79958274572
-
Asymptotic properties of eigenmatrices of a large sample covariance matrix
-
Bai Z.D., Liu H.X., Wong W.K. Asymptotic properties of eigenmatrices of a large sample covariance matrix. Annals of Applied Probability 2011, 21:1994-2014.
-
(2011)
Annals of Applied Probability
, vol.21
, pp. 1994-2014
-
-
Bai, Z.D.1
Liu, H.X.2
Wong, W.K.3
-
22
-
-
51549106256
-
On asymptotics of eigenvectors of large sample covariance matrix
-
Bai Z.D., Miao B.Q., Pan G.M. On asymptotics of eigenvectors of large sample covariance matrix. Annals of Statistics 2007, 35:1532-1572.
-
(2007)
Annals of Statistics
, vol.35
, pp. 1532-1572
-
-
Bai, Z.D.1
Miao, B.Q.2
Pan, G.M.3
-
23
-
-
84983319269
-
A note on the convergence rate of the spectral distributions of large dimensional random matrices
-
Bai Z.D., Miao B.Q., Tsay J. A note on the convergence rate of the spectral distributions of large dimensional random matrices. Statistics and Probability Letters 1997, 34:95-102.
-
(1997)
Statistics and Probability Letters
, vol.34
, pp. 95-102
-
-
Bai, Z.D.1
Miao, B.Q.2
Tsay, J.3
-
24
-
-
0033465449
-
Remarks on the convergence rate of the spectral distributions of Wigner matrices
-
Bai Z.D., Miao B.Q., Tsay J. Remarks on the convergence rate of the spectral distributions of Wigner matrices. Journal of Theoretical Probability 1999, 12:301-311.
-
(1999)
Journal of Theoretical Probability
, vol.12
, pp. 301-311
-
-
Bai, Z.D.1
Miao, B.Q.2
Tsay, J.3
-
25
-
-
0242323254
-
Convergence rates of the spectral distributions of large Wigner matrices
-
Bai Z.D., Miao B.Q., Tsay J. Convergence rates of the spectral distributions of large Wigner matrices. International Journal of Mathematics 2002, 1:65-90.
-
(2002)
International Journal of Mathematics
, vol.1
, pp. 65-90
-
-
Bai, Z.D.1
Miao, B.Q.2
Tsay, J.3
-
27
-
-
2142645905
-
Effect of high dimension, by an example of a two sample problem
-
Bai Z.D., Saranadasa H. Effect of high dimension, by an example of a two sample problem. Statistica Sinica 1996, 6:311-329.
-
(1996)
Statistica Sinica
, vol.6
, pp. 311-329
-
-
Bai, Z.D.1
Saranadasa, H.2
-
28
-
-
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. Annals of Probability 1998, 26:316-345.
-
(1998)
Annals of Probability
, vol.26
, pp. 316-345
-
-
Bai, Z.D.1
Silverstein, J.W.2
-
29
-
-
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. Annals of Probability 1999, 27:1536-1555.
-
(1999)
Annals of Probability
, vol.27
, pp. 1536-1555
-
-
Bai, Z.D.1
Silverstein, J.W.2
-
30
-
-
2142823889
-
CLT for linear spectral statistics of large dimensional sample covariance matrix
-
Bai Z.D., Silverstein J.W. CLT for linear spectral statistics of large dimensional sample covariance matrix. Annals of Probability 2004, 32:553-605.
-
(2004)
Annals of Probability
, vol.32
, pp. 553-605
-
-
Bai, Z.D.1
Silverstein, J.W.2
-
31
-
-
50649125659
-
On the signal-to-interference ratio of CDMA systems in wireless communications
-
Bai Z.D., Silverstein J.W. On the signal-to-interference ratio of CDMA systems in wireless communications. Annals of Applied Probability 2007, 17:81-101.
-
(2007)
Annals of Applied Probability
, vol.17
, pp. 81-101
-
-
Bai, Z.D.1
Silverstein, J.W.2
-
33
-
-
84879217849
-
No eigenvalues outside the support of the limiting spectral distribution of information-plus-noise type matrices
-
Bai Z.D., Silverstein J.W. No eigenvalues outside the support of the limiting spectral distribution of information-plus-noise type matrices. Random Matrices. Theory and Applications 2012, 1:1150004.
-
(2012)
Random Matrices. Theory and Applications
, vol.1
, pp. 1150004
-
-
Bai, Z.D.1
Silverstein, J.W.2
-
34
-
-
38249027279
-
A note on the largest eigenvalue of a large dimensional sample covariance matrix
-
Bai Z.D., Silverstein J.W., Yin Y.Q. A note on the largest eigenvalue of a large dimensional sample covariance matrix. Journal of Multivariate Analysis 1988, 26:166-168.
-
(1988)
Journal of Multivariate Analysis
, vol.26
, pp. 166-168
-
-
Bai, Z.D.1
Silverstein, J.W.2
Yin, Y.Q.3
-
36
-
-
79251575877
-
Functional CLT for sample covariance matrices
-
Bai Z.D., Wang X., Zhou W. Functional CLT for sample covariance matrices. Bernoulli 2010, 16:1086-1113.
-
(2010)
Bernoulli
, vol.16
, pp. 1086-1113
-
-
Bai, Z.D.1
Wang, X.2
Zhou, W.3
-
37
-
-
33645671934
-
On the convergence of the spectral empirical process of Wigner matrices
-
Bai Z.D., Yao J.-F. On the convergence of the spectral empirical process of Wigner matrices. Bernoulli 2005, 11:1059-1092.
-
(2005)
Bernoulli
, vol.11
, pp. 1059-1092
-
-
Bai, Z.D.1
Yao, J.-F.2
-
38
-
-
84855813409
-
On sample eigenvalues in a generalized spiked population model
-
Bai Z.D., Yao J.-F. On sample eigenvalues in a generalized spiked population model. Journal of Multivariate Analysis 2011, 106:167-177.
-
(2011)
Journal of Multivariate Analysis
, vol.106
, pp. 167-177
-
-
Bai, Z.D.1
Yao, J.-F.2
-
39
-
-
0011324907
-
Convergence to the semicircle law
-
Bai Z.D., Yin Y.Q. Convergence to the semicircle law. Annals of Probability 1988, 16:863-875.
-
(1988)
Annals of Probability
, vol.16
, pp. 863-875
-
-
Bai, Z.D.1
Yin, Y.Q.2
-
40
-
-
0003007394
-
Necessary and sufficient conditions for the almost sure convergence of the largest eigenvalue of Wigner matrices
-
Bai Z.D., Yin Y.Q. Necessary and sufficient conditions for the almost sure convergence of the largest eigenvalue of Wigner matrices. Annals of Probability 1988, 16:1729-1741.
-
(1988)
Annals of Probability
, vol.16
, pp. 1729-1741
-
-
Bai, Z.D.1
Yin, Y.Q.2
-
41
-
-
0001758959
-
Limit of the smallest eigenvalue of large dimensional covariance matrix
-
Bai Z.D., Yin Y.Q. Limit of the smallest eigenvalue of large dimensional covariance matrix. Annals of Probability 1993, 21:1275-1294.
-
(1993)
Annals of Probability
, vol.21
, pp. 1275-1294
-
-
Bai, Z.D.1
Yin, Y.Q.2
-
43
-
-
47849117685
-
Large sample covariance matrices without independence structures in columns
-
Bai Z.D., Zhou W. Large sample covariance matrices without independence structures in columns. Statistica Sinica 2008, 18:425-442.
-
(2008)
Statistica Sinica
, vol.18
, pp. 425-442
-
-
Bai, Z.D.1
Zhou, W.2
-
44
-
-
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. Annals of Probability 2005, 33:1643-1697.
-
(2005)
Annals of Probability
, vol.33
, pp. 1643-1697
-
-
Baik, J.1
Ben Arous, G.2
Péché, S.3
-
45
-
-
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. Journal of Multivariate Analysis 2006, 97:1382-1408.
-
(2006)
Journal of Multivariate Analysis
, vol.97
, pp. 1382-1408
-
-
Baik, J.1
Silverstein, J.W.2
-
47
-
-
84857251607
-
Strong convergence of ESD for the generalized sample covariance matrices when p/n→0
-
Bao Z. Strong convergence of ESD for the generalized sample covariance matrices when p/n→0. Statistics and Probability Letters 2012, 82:894-901.
-
(2012)
Statistics and Probability Letters
, vol.82
, pp. 894-901
-
-
Bao, Z.1
-
48
-
-
84867537555
-
Tracy-Widom law for the extreme eigenvalues of sample correlation matrices
-
Bao Z., Pan G.M., Zhou W. Tracy-Widom law for the extreme eigenvalues of sample correlation matrices. Electronic Journal of Probability 2012, 17(88):1-32.
-
(2012)
Electronic Journal of Probability
, vol.17
, Issue.88
, pp. 1-32
-
-
Bao, Z.1
Pan, G.M.2
Zhou, W.3
-
49
-
-
26944453623
-
Universality of local eigenvalue statistics for some sample covariance matrices
-
Ben Arous G., Péché S. Universality of local eigenvalue statistics for some sample covariance matrices. Communications in Pure and Applied Mathematics 2005, 53:1316-1357.
-
(2005)
Communications in Pure and Applied Mathematics
, vol.53
, pp. 1316-1357
-
-
Ben Arous, G.1
Péché, S.2
-
50
-
-
80053163500
-
Fluctuations of the extreme eigenvalues of finite rank deformations of random matrices
-
Benaych-Georges F., Guionnet A., Maida M. Fluctuations of the extreme eigenvalues of finite rank deformations of random matrices. Electronic Journal of Probability 2011, 16:1621-1662.
-
(2011)
Electronic Journal of Probability
, vol.16
, pp. 1621-1662
-
-
Benaych-Georges, F.1
Guionnet, A.2
Maida, M.3
-
52
-
-
79952708259
-
The eigenvalues and eigenvectors of finite, low rank perturbations of large random matrices
-
Benaych-Georges F., Nadakuditi R.R. The eigenvalues and eigenvectors of finite, low rank perturbations of large random matrices. Advances in Mathematics 2011, 227:494-521.
-
(2011)
Advances in Mathematics
, vol.227
, pp. 494-521
-
-
Benaych-Georges, F.1
Nadakuditi, R.R.2
-
53
-
-
84900481105
-
Consistency of large dimensional sample covariance matrix under weak dependence
-
Bhattacharjee M., Bose A. Consistency of large dimensional sample covariance matrix under weak dependence. Statistical Methodology 2013.
-
(2013)
Statistical Methodology
-
-
Bhattacharjee, M.1
Bose, A.2
-
54
-
-
79952832913
-
Performance of statistical tests for single source detection using random matrix theory
-
Bianchi P., Debbah M., Maïda M., Najim J. Performance of statistical tests for single source detection using random matrix theory. IEEE Transactions on Information Theory 2011, 57:2400-2419.
-
(2011)
IEEE Transactions on Information Theory
, vol.57
, pp. 2400-2419
-
-
Bianchi, P.1
Debbah, M.2
Maïda, M.3
Najim, J.4
-
55
-
-
33745156863
-
Some theory for Fisher's linear discriminant function, "naive Bayes", and some alternatives when there are many more variables than observations
-
Bickel P.J., Levina E. Some theory for Fisher's linear discriminant function, "naive Bayes", and some alternatives when there are many more variables than observations. Bernoulli 2004, 10:989-1010.
-
(2004)
Bernoulli
, vol.10
, pp. 989-1010
-
-
Bickel, P.J.1
Levina, E.2
-
56
-
-
62349112885
-
Covariance regularization by thresholding
-
Bickel P.J., Levina E. Covariance regularization by thresholding. Annals of Statistics 2008, 36:2577-2604.
-
(2008)
Annals of Statistics
, vol.36
, pp. 2577-2604
-
-
Bickel, P.J.1
Levina, E.2
-
57
-
-
41549106844
-
Regularized estimation of large covariance matrices
-
Bickel P.J., Levina E. Regularized estimation of large covariance matrices. Annals of Statistics 2008, 36:199-227.
-
(2008)
Annals of Statistics
, vol.36
, pp. 199-227
-
-
Bickel, P.J.1
Levina, E.2
-
58
-
-
84879351019
-
Minimax bounds for sparse PCA with noisy high-dimensional data
-
Birnbaum A., Johnstone I.M., Nadler B., Paul D. Minimax bounds for sparse PCA with noisy high-dimensional data. Annals of Statistics 2013, 41:1055-1084.
-
(2013)
Annals of Statistics
, vol.41
, pp. 1055-1084
-
-
Birnbaum, A.1
Johnstone, I.M.2
Nadler, B.3
Paul, D.4
-
60
-
-
84900470090
-
-
Limits of Spiked Random Matrices I. Technical Report.
-
Bloemendal, A., Virág, B., 2010. Limits of Spiked Random Matrices I. Technical Report. http://arXiv:1011.1877v2.
-
(2010)
-
-
Bloemendal, A.1
Virág, B.2
-
61
-
-
84900511748
-
-
Limits of Spiked Random Matrices II. Technical Report.
-
Bloemendal, A., Virág, B., 2011. Limits of Spiked Random Matrices II. Technical Report. http://arXiv:1109.1877v1.
-
(2011)
-
-
Bloemendal, A.1
Virág, B.2
-
62
-
-
0346788422
-
Characterization of chaotic quantum spectra and universality of level fluctuation laws
-
Bohigas O., Giannoni M.J., Schmit C. Characterization of chaotic quantum spectra and universality of level fluctuation laws. Physical Review Letters 1984, 52:1-4.
-
(1984)
Physical Review Letters
, vol.52
, pp. 1-4
-
-
Bohigas, O.1
Giannoni, M.J.2
Schmit, C.3
-
63
-
-
42449107488
-
Another look at the moment method for large dimensional random matrices
-
Bose A., Sen A. Another look at the moment method for large dimensional random matrices. Electronic Journal of Probability 2008, 13:588-628.
-
(2008)
Electronic Journal of Probability
, vol.13
, pp. 588-628
-
-
Bose, A.1
Sen, A.2
-
65
-
-
84900471010
-
-
Financial Applications of Random Matrix Theory: A Short Review. Technical Report.
-
Bouchaud, J.P., Potters, M., 2009. Financial Applications of Random Matrix Theory: A Short Review. Technical Report. http://arXiv:0910.1205v1.
-
(2009)
-
-
Bouchaud, J.P.1
Potters, M.2
-
66
-
-
33644950826
-
Spectral measure of large random Hankel, Markov and Toeplitz matrices
-
Bryc W., Dembo A., Jiang T. Spectral measure of large random Hankel, Markov and Toeplitz matrices. Annals of Probability 2006, 34:1-38.
-
(2006)
Annals of Probability
, vol.34
, pp. 1-38
-
-
Bryc, W.1
Dembo, A.2
Jiang, T.3
-
67
-
-
79957998464
-
Limiting laws of coherence of random matrices with applications to testing covariance structure and construction of compressed sensing matrices
-
Cai T., Jiang T. Limiting laws of coherence of random matrices with applications to testing covariance structure and construction of compressed sensing matrices. Annals of Statistics 2011, 39:1496-1525.
-
(2011)
Annals of Statistics
, vol.39
, pp. 1496-1525
-
-
Cai, T.1
Jiang, T.2
-
69
-
-
84862957781
-
A direct estimation approach to sparse linear discriminant analysis
-
Cai T.T., Liu W. A direct estimation approach to sparse linear discriminant analysis. Journal of the American Statistical Association 2011, 106:1566-1577.
-
(2011)
Journal of the American Statistical Association
, vol.106
, pp. 1566-1577
-
-
Cai, T.T.1
Liu, W.2
-
71
-
-
84900491202
-
-
Sparse PCA: Optimal Rates and Adaptive Estimation. Technical Report.
-
Cai, T.T., Ma, Z., Wu, Y., 2012. Sparse PCA: Optimal Rates and Adaptive Estimation. Technical Report. http://arXiv:1211.1309v2.
-
(2012)
-
-
Cai, T.T.1
Ma, Z.2
Wu, Y.3
-
72
-
-
84871942706
-
Adaptive covariance matrix estimation through block thresholding
-
Cai T.T., Yuan M. Adaptive covariance matrix estimation through block thresholding. Annals of Statistics 2012, 40:2012-2014.
-
(2012)
Annals of Statistics
, vol.40
, pp. 2012-2014
-
-
Cai, T.T.1
Yuan, M.2
-
73
-
-
77955132618
-
Optimal rates of convergence for covariance matrix estimation
-
Cai T.T., Zhang C.-H., Zhou H.H. Optimal rates of convergence for covariance matrix estimation. Annals of Statistics 2010, 38:2118-2144.
-
(2010)
Annals of Statistics
, vol.38
, pp. 2118-2144
-
-
Cai, T.T.1
Zhang, C.-H.2
Zhou, H.H.3
-
75
-
-
63049133332
-
The largest eigenvalues of finite rank deformation of large Wigner matrices. convergence and nonuniversality of the fluctuations
-
Capitaine M., Donati-Martin C., Féral D. The largest eigenvalues of finite rank deformation of large Wigner matrices. convergence and nonuniversality of the fluctuations. Annals of Probability 2009, 37:1-47.
-
(2009)
Annals of Probability
, vol.37
, pp. 1-47
-
-
Capitaine, M.1
Donati-Martin, C.2
Féral, D.3
-
76
-
-
84900482050
-
-
On the Isolated Eigenvalues of Large Gram Random Matrices with a Fixed Rank Deformation. Technical Report.
-
Chapon, F., Couillet, R., Hachem, W., Mestre, X., 2012. On the Isolated Eigenvalues of Large Gram Random Matrices with a Fixed Rank Deformation. Technical Report. http://arXiv:1207.0471v1.
-
(2012)
-
-
Chapon, F.1
Couillet, R.2
Hachem, W.3
Mestre, X.4
-
77
-
-
33947520702
-
A generalization of the Lindeberg principle
-
Chatterjee S. A generalization of the Lindeberg principle. Annals of Probability 2006, 34:2061-2076.
-
(2006)
Annals of Probability
, vol.34
, pp. 2061-2076
-
-
Chatterjee, S.1
-
78
-
-
54349114930
-
Fluctuations of eigenvalues and second order Poincaré inequalities
-
Chatterjee S. Fluctuations of eigenvalues and second order Poincaré inequalities. Probability Theory and Related Fields 2009, 143:1-40.
-
(2009)
Probability Theory and Related Fields
, vol.143
, pp. 1-40
-
-
Chatterjee, S.1
-
79
-
-
79960060259
-
On a model selection problem from high-dimensional sample covariance matrices
-
Chen J.Q., Delyon B., Yao J.-F. On a model selection problem from high-dimensional sample covariance matrices. Journal of Multivariate Analysis 2011, 102:1388-1398.
-
(2011)
Journal of Multivariate Analysis
, vol.102
, pp. 1388-1398
-
-
Chen, J.Q.1
Delyon, B.2
Yao, J.-F.3
-
81
-
-
77649330805
-
A two-sample test for high-dimensional data with applications to gene-set testing
-
Chen S.X., Qin Y.-L. A two-sample test for high-dimensional data with applications to gene-set testing. Annals of Statistics 2010, 38:808-835.
-
(2010)
Annals of Statistics
, vol.38
, pp. 808-835
-
-
Chen, S.X.1
Qin, Y.-L.2
-
82
-
-
33746874136
-
-
Edgeworth expansion of the largest eigenvalue distribution function of GUE and LUE. nternational Mathematics Research Notices
-
Choup, L.N., 2006. Edgeworth expansion of the largest eigenvalue distribution function of GUE and LUE. International Mathematics Research Notices, 61049.
-
(2006)
, pp. 61049
-
-
Choup, L.N.1
-
83
-
-
81555213023
-
Sparse discriminant analysis
-
Clemmensen L., Hastie T., Witten D., Ersboll B. Sparse discriminant analysis. Technometrics 2011, 53:406-413.
-
(2011)
Technometrics
, vol.53
, pp. 406-413
-
-
Clemmensen, L.1
Hastie, T.2
Witten, D.3
Ersboll, B.4
-
86
-
-
84900505917
-
-
Robust m-Estimation for Array Processing: A Random Matrix Approach. Technical Report.
-
Coulliet, R., Pascal, F., Silverstein, J.W., 2012. Robust m-Estimation for Array Processing: A Random Matrix Approach. Technical Report. http://arXiv:1204.5320v1.
-
(2012)
-
-
Coulliet, R.1
Pascal, F.2
Silverstein, J.W.3
-
87
-
-
79952854699
-
Eigen-inference for energy estimation of multiple sources
-
Coulliet R., Silverstein J.W., Bai Z.D., Debbah M. Eigen-inference for energy estimation of multiple sources. IEEE Transactions on Information Theory 2011, 57:2420-2439.
-
(2011)
IEEE Transactions on Information Theory
, vol.57
, pp. 2420-2439
-
-
Coulliet, R.1
Silverstein, J.W.2
Bai, Z.D.3
Debbah, M.4
-
88
-
-
34548514458
-
A direct formulation of sparse PCA using semidefinite programming
-
d'Aspremont A., ElGhaoui L., Jordan M.I., Lanckriet G.R.G. A direct formulation of sparse PCA using semidefinite programming. SIAM Review 2007, 49(3):434-448.
-
(2007)
SIAM Review
, vol.49
, Issue.3
, pp. 434-448
-
-
d'Aspremont, A.1
ElGhaoui, L.2
Jordan, M.I.3
Lanckriet, G.R.G.4
-
89
-
-
84900509036
-
-
Limit Theory for the Largest Eigenvalues of Sample Covariance Matrices with Heavy-Tails. Technical Report.
-
Davis, R.A., Pfaffel, O., Stelzer, R., 2011. Limit Theory for the Largest Eigenvalues of Sample Covariance Matrices with Heavy-Tails. Technical Report. http://arXiv:1108.5464v1.
-
(2011)
-
-
Davis, R.A.1
Pfaffel, O.2
Stelzer, R.3
-
92
-
-
0000752425
-
Estimation of a covariance matrix under Stein's loss
-
Dey D.K., Srinivasan C. Estimation of a covariance matrix under Stein's loss. Annals of Statistics 1985, 13:1581-1591.
-
(1985)
Annals of Statistics
, vol.13
, pp. 1581-1591
-
-
Dey, D.K.1
Srinivasan, C.2
-
94
-
-
0037396045
-
Patterns in eigenvalues. the 70th Josiah Willard Gibbs lecture
-
Diaconis P. Patterns in eigenvalues. the 70th Josiah Willard Gibbs lecture. Bulletin of the American Mathematical Society 2003, 40:155-178.
-
(2003)
Bulletin of the American Mathematical Society
, vol.40
, pp. 155-178
-
-
Diaconis, P.1
-
96
-
-
84900469882
-
-
Stein's Method: Expository Lectures and Applications. Institute of Mathematical Statistics.
-
Diaconis, P., Holmes, S. (Eds.), 2004. Stein's Method: Expository Lectures and Applications. Institute of Mathematical Statistics.
-
(2004)
-
-
Diaconis, P.1
Holmes, S.2
-
97
-
-
78650425813
-
Spectral distribution of adjacency and Laplacian matrices of random graphs
-
Ding X., Jiang T. Spectral distribution of adjacency and Laplacian matrices of random graphs. Annals of Applied Probability 2010, 20:2086-2117.
-
(2010)
Annals of Applied Probability
, vol.20
, pp. 2086-2117
-
-
Ding, X.1
Jiang, T.2
-
98
-
-
34047246348
-
Analysis of the limiting spectral distribution of large dimensional information-plus-noise type matrices
-
Dozier R.B., Silverstein J.W. Analysis of the limiting spectral distribution of large dimensional information-plus-noise type matrices. Journal of Multivariate Analysis 2007, 98:1099-1122.
-
(2007)
Journal of Multivariate Analysis
, vol.98
, pp. 1099-1122
-
-
Dozier, R.B.1
Silverstein, J.W.2
-
99
-
-
33846999295
-
On the empirical distribution of eigenvalues of large dimensional information-plus-noise type matrices
-
Dozier R.B., Silverstein J.W. On the empirical distribution of eigenvalues of large dimensional information-plus-noise type matrices. Journal of Multivariate Analysis 2007, 98:678-694.
-
(2007)
Journal of Multivariate Analysis
, vol.98
, pp. 678-694
-
-
Dozier, R.B.1
Silverstein, J.W.2
-
100
-
-
84900521001
-
-
Eigenvalue Statistics for the Beta-Ensembles. Ph.D. Thesis. Massachusetts Institute of Technology.
-
Dumitriu, I., 2003. Eigenvalue Statistics for the Beta-Ensembles. Ph.D. Thesis. Massachusetts Institute of Technology.
-
(2003)
-
-
Dumitriu, I.1
-
102
-
-
35549006412
-
Statistical theory of energy levels of complex systems I
-
Dyson F.J. Statistical theory of energy levels of complex systems I. Journal of Mathematical Physics 1962, 3:140-156.
-
(1962)
Journal of Mathematical Physics
, vol.3
, pp. 140-156
-
-
Dyson, F.J.1
-
103
-
-
35549006412
-
Statistical theory of energy levels of complex systems II
-
Dyson F.J. Statistical theory of energy levels of complex systems II. Journal of Mathematical Physics 1962, 3:157-165.
-
(1962)
Journal of Mathematical Physics
, vol.3
, pp. 157-165
-
-
Dyson, F.J.1
-
104
-
-
0242436583
-
Statistical theory of energy levels of complex systems III
-
Dyson F.J. Statistical theory of energy levels of complex systems III. Journal of Mathematical Physics 1962, 3:166-175.
-
(1962)
Journal of Mathematical Physics
, vol.3
, pp. 166-175
-
-
Dyson, F.J.1
-
105
-
-
19844372999
-
Random matrix theory
-
Edelman A., Rao N.R. Random matrix theory. Acta Numerica 2005, 14:233-297.
-
(2005)
Acta Numerica
, vol.14
, pp. 233-297
-
-
Edelman, A.1
Rao, N.R.2
-
107
-
-
84900486523
-
-
On the Largest Eigenvalue of Wishart Matrices with Identity Covariance When n, p and p/n→∞. Technical Report.
-
El Karoui, N., 2003. On the Largest Eigenvalue of Wishart Matrices with Identity Covariance When n, p and p/n→∞. Technical Report. http://arXiv:math/03093355v1.
-
(2003)
-
-
El Karoui, N.1
-
108
-
-
46749089905
-
Tracy-Widom limit for the largest eigenvalue of a large class of complex sample covariance matrices
-
El Karoui N. Tracy-Widom limit for the largest eigenvalue of a large class of complex sample covariance matrices. Annals of Probability 2007, 35:663-714.
-
(2007)
Annals of Probability
, vol.35
, pp. 663-714
-
-
El Karoui, N.1
-
109
-
-
62349123505
-
Operator norm consistent estimation of large dimensional sparse covariance matrices
-
El Karoui N. Operator norm consistent estimation of large dimensional sparse covariance matrices. Annals of Statistics 2008, 36:2717-2756.
-
(2008)
Annals of Statistics
, vol.36
, pp. 2717-2756
-
-
El Karoui, N.1
-
110
-
-
62349116164
-
Spectrum estimation for large dimensional covariance matrices using random matrix theory
-
El Karoui N. Spectrum estimation for large dimensional covariance matrices using random matrix theory. Annals of Statistics 2008, 36:2757-2790.
-
(2008)
Annals of Statistics
, vol.36
, pp. 2757-2790
-
-
El Karoui, N.1
-
111
-
-
73949116713
-
Concentration of measure and spectra of random matrices. applications to correlation matrices, elliptical distributions and beyond
-
El Karoui N. Concentration of measure and spectra of random matrices. applications to correlation matrices, elliptical distributions and beyond. Annals of Applied Probability 2009, 19:2362-2405.
-
(2009)
Annals of Applied Probability
, vol.19
, pp. 2362-2405
-
-
El Karoui, N.1
-
112
-
-
84900470941
-
-
On the Realized Risk of High-Dimensional Markowitz Portfolios. Technical Report. University of California, Berkeley.
-
El Karoui, N., 2009. On the Realized Risk of High-Dimensional Markowitz Portfolios. Technical Report. University of California, Berkeley.
-
(2009)
-
-
El Karoui, N.1
-
113
-
-
78650151035
-
High-dimensionality effects in the Markowitz problem and other quadratic programs with linear constraints. risk underestimation
-
El Karoui N. High-dimensionality effects in the Markowitz problem and other quadratic programs with linear constraints. risk underestimation. Annals of Statistics 2010, 38:3487-3566.
-
(2010)
Annals of Statistics
, vol.38
, pp. 3487-3566
-
-
El Karoui, N.1
-
114
-
-
77957606259
-
On information plus noise kernel random matrices
-
El Karoui N. On information plus noise kernel random matrices. Annals of Statistics 2010, 38:3191-3216.
-
(2010)
Annals of Statistics
, vol.38
, pp. 3191-3216
-
-
El Karoui, N.1
-
115
-
-
73949087548
-
The spectrum of kernel random matrices
-
El Karoui N. The spectrum of kernel random matrices. Annals of Statistics 2010, 38:1-50.
-
(2010)
Annals of Statistics
, vol.38
, pp. 1-50
-
-
El Karoui, N.1
-
116
-
-
84900495451
-
-
Geometric Sensitivity of Random Matrix Results: Consequences for Shrinkage Estimators of Covariance and Related Statistical Methods. Technical Report.
-
ElKaroui, N., Koesters, H., 2011. Geometric Sensitivity of Random Matrix Results: Consequences for Shrinkage Estimators of Covariance and Related Statistical Methods. Technical Report. http://arXiv:1105.1404v1.
-
(2011)
-
-
ElKaroui, N.1
Koesters, H.2
-
117
-
-
77952504768
-
Bulk universality for Wigner matrices
-
Erdos L., Péché S., Ramírez J.A., Schlein B., Yau H.-T. Bulk universality for Wigner matrices. Communications on Pure and Applied Mathematics 2010, 63:895-925.
-
(2010)
Communications on Pure and Applied Mathematics
, vol.63
, pp. 895-925
-
-
Erdos, L.1
Péché, S.2
Ramírez, J.A.3
Schlein, B.4
Yau, H.-T.5
-
118
-
-
77956898369
-
Bulk universality for Wigner Hermitian matrices with subexponential decay
-
Erdos L., Ramírez J.A., Schlein B., Tao T., Vu V., Yau H.-T. Bulk universality for Wigner Hermitian matrices with subexponential decay. Mathematics Research Letter 2010, 17:667-674.
-
(2010)
Mathematics Research Letter
, vol.17
, pp. 667-674
-
-
Erdos, L.1
Ramírez, J.A.2
Schlein, B.3
Tao, T.4
Vu, V.5
Yau, H.-T.6
-
119
-
-
61549110549
-
Local semicircle law and complete delocalization for Wigner random matrices
-
Erdos L., Schlein B., Yau H.-T. Local semicircle law and complete delocalization for Wigner random matrices. Communications in Mathematical Physics 2009, 287:641-655.
-
(2009)
Communications in Mathematical Physics
, vol.287
, pp. 641-655
-
-
Erdos, L.1
Schlein, B.2
Yau, H.-T.3
-
121
-
-
84055178439
-
Rigidity of eigenvalues of generalized Wigner matrices
-
Erdos L., Yau H.-T., Yin J. Rigidity of eigenvalues of generalized Wigner matrices. Advances in Mathematics 2012, 229:1435-1515.
-
(2012)
Advances in Mathematics
, vol.229
, pp. 1435-1515
-
-
Erdos, L.1
Yau, H.-T.2
Yin, J.3
-
122
-
-
53849089038
-
High-dimensional classification using features annealed independence rules
-
Fan J., Fan Y. High-dimensional classification using features annealed independence rules. Annals of Statistics 2008, 36:2605-2637.
-
(2008)
Annals of Statistics
, vol.36
, pp. 2605-2637
-
-
Fan, J.1
Fan, Y.2
-
123
-
-
77952877492
-
A universality result for the smallest eigenvalues of certain sample covariance matrices
-
Feldheim O.N., Sodin S. A universality result for the smallest eigenvalues of certain sample covariance matrices. Geometric and Functional Analysis 2010, 20:88-123.
-
(2010)
Geometric and Functional Analysis
, vol.20
, pp. 88-123
-
-
Feldheim, O.N.1
Sodin, S.2
-
124
-
-
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. Communications in Mathematical Physics 2007, 272:185-228.
-
(2007)
Communications in Mathematical Physics
, vol.272
, pp. 185-228
-
-
Féral, D.1
Péché, S.2
-
125
-
-
68749084936
-
The largest eigenvalues of sample covariance matrices for a spiked population. diagonal case
-
Féral D., Péché S. The largest eigenvalues of sample covariance matrices for a spiked population. diagonal case. Journal of Mathematical Physics 2009, 50:073302.
-
(2009)
Journal of Mathematical Physics
, vol.50
, pp. 073302
-
-
Féral, D.1
Péché, S.2
-
126
-
-
0006365986
-
The generalized dynamic factor model. identification and estimation
-
Forni M., Hallin M., Lippi M., Reichlin L. The generalized dynamic factor model. identification and estimation. Review of Economics and Statistics 2000, 111:62-85.
-
(2000)
Review of Economics and Statistics
, vol.111
, pp. 62-85
-
-
Forni, M.1
Hallin, M.2
Lippi, M.3
Reichlin, L.4
-
127
-
-
1642324121
-
The generalized dynamic factor model. consistency and rates
-
Forni M., Hallin M., Lippi M., Reichlin L. The generalized dynamic factor model. consistency and rates. Journal of Econometrics 2004, 119:231-255.
-
(2004)
Journal of Econometrics
, vol.119
, pp. 231-255
-
-
Forni, M.1
Hallin, M.2
Lippi, M.3
Reichlin, L.4
-
128
-
-
24644522163
-
The generalized dynamic factor model. one-sided estimation and forecasting
-
Forni M., Hallin M., Lippi M., Reichlin L. The generalized dynamic factor model. one-sided estimation and forecasting. Journal of the American Statistical Association 2005, 100:830-840.
-
(2005)
Journal of the American Statistical Association
, vol.100
, pp. 830-840
-
-
Forni, M.1
Hallin, M.2
Lippi, M.3
Reichlin, L.4
-
130
-
-
84900489805
-
-
Random Matrix Theory and Robust Covariance Estimation for Financial Data. Technical Report.
-
Frahm, G., Jaekel, U., 2005. Random Matrix Theory and Robust Covariance Estimation for Financial Data. Technical Report. http://arXiv:physics/0503007.
-
(2005)
-
-
Frahm, G.1
Jaekel, U.2
-
131
-
-
45849134070
-
Sparse inverse covariance estimation with the graphical lasso
-
Friedman J., Hastie T., Tibshirani R. Sparse inverse covariance estimation with the graphical lasso. Biostatistics 2008, 9:432-441.
-
(2008)
Biostatistics
, vol.9
, pp. 432-441
-
-
Friedman, J.1
Hastie, T.2
Tibshirani, R.3
-
132
-
-
0001436319
-
A limit theorem for the norm of random matrices
-
Geman S. A limit theorem for the norm of random matrices. Annals of Probability 1980, 8:252-261.
-
(1980)
Annals of Probability
, vol.8
, pp. 252-261
-
-
Geman, S.1
-
133
-
-
84900488433
-
Necessary and sufficient condition that the limit of Stieltjes transforms is a Stieltjes transform
-
Geronimo J.S., Hill T.P. Necessary and sufficient condition that the limit of Stieltjes transforms is a Stieltjes transform. Annals of Probability 2003, 5121:54-60.
-
(2003)
Annals of Probability
, vol.5121
, pp. 54-60
-
-
Geronimo, J.S.1
Hill, T.P.2
-
137
-
-
33746595332
-
Rate of convergence in probability to the Marchenko-Pastur law
-
Götze F., Tikhomirov A. Rate of convergence in probability to the Marchenko-Pastur law. Bernoulli 2004, 10:503-548.
-
(2004)
Bernoulli
, vol.10
, pp. 503-548
-
-
Götze, F.1
Tikhomirov, A.2
-
142
-
-
84871756909
-
A CLT for information-theoretic statistics of non-centered Gram random matrices
-
Hachem W., Kharouf M., Najim J., Silverstein J.W. A CLT for information-theoretic statistics of non-centered Gram random matrices. Random Matrices, Theory and Applications 2012, 1:1150010.
-
(2012)
Random Matrices, Theory and Applications
, vol.1
, pp. 1150010
-
-
Hachem, W.1
Kharouf, M.2
Najim, J.3
Silverstein, J.W.4
-
143
-
-
84856816548
-
Large information plus noise random matrix models and consistent subspace estimation in large sensor networks
-
Hachem W., Loubaton P., Mestre X., Najim J., Vallet P. Large information plus noise random matrix models and consistent subspace estimation in large sensor networks. Random Matrices, Theory and Applications 2012, 1:1150006.
-
(2012)
Random Matrices, Theory and Applications
, vol.1
, pp. 1150006
-
-
Hachem, W.1
Loubaton, P.2
Mestre, X.3
Najim, J.4
Vallet, P.5
-
144
-
-
84867821717
-
A subspace estimator for fixed rank perturbations of large random matrices
-
Hachem W., Loubaton P., Mestre X., Najim J., Vallet P. A subspace estimator for fixed rank perturbations of large random matrices. Journal of Multivariate Analysis 2013, 114:427-447.
-
(2013)
Journal of Multivariate Analysis
, vol.114
, pp. 427-447
-
-
Hachem, W.1
Loubaton, P.2
Mestre, X.3
Najim, J.4
Vallet, P.5
-
145
-
-
33746338607
-
The empirical eigenvalue distribution of a Gram matrix. from independence to stationarity
-
Hachem W., Loubaton P., Najim J. The empirical eigenvalue distribution of a Gram matrix. from independence to stationarity. Markov Processes and Related Fields 2005, 11:629-648.
-
(2005)
Markov Processes and Related Fields
, vol.11
, pp. 629-648
-
-
Hachem, W.1
Loubaton, P.2
Najim, J.3
-
147
-
-
39349094334
-
Deterministic equivalents for certain functionals of large random matrices
-
Hachem W., Loubaton P., Najim J. Deterministic equivalents for certain functionals of large random matrices. Annals of Applied Probability 2007, 17:875-930.
-
(2007)
Annals of Applied Probability
, vol.17
, pp. 875-930
-
-
Hachem, W.1
Loubaton, P.2
Najim, J.3
-
148
-
-
63049097746
-
A CLT for information-theoretic statistics of Gram random matrices with a given variance profile
-
Hachem W., Loubaton P., Najim J. A CLT for information-theoretic statistics of Gram random matrices with a given variance profile. Annals of Applied Probability 2008, 18:2071-2130.
-
(2008)
Annals of Applied Probability
, vol.18
, pp. 2071-2130
-
-
Hachem, W.1
Loubaton, P.2
Najim, J.3
-
149
-
-
0011572986
-
Minimax estimation for a multinormal precision matrix
-
Haff L.R. Minimax estimation for a multinormal precision matrix. Journal of Multivariate Analysis 1977, 7:374-385.
-
(1977)
Journal of Multivariate Analysis
, vol.7
, pp. 374-385
-
-
Haff, L.R.1
-
150
-
-
0000406169
-
Empirical Bayes estimation of the multivariate normal covariance matrix
-
Haff L.R. Empirical Bayes estimation of the multivariate normal covariance matrix. Annals of Statistics 1980, 8:586-597.
-
(1980)
Annals of Statistics
, vol.8
, pp. 586-597
-
-
Haff, L.R.1
-
151
-
-
41049087423
-
Explaining the single factor bias of arbitrage pricing models in finite samples
-
Harding M.C. Explaining the single factor bias of arbitrage pricing models in finite samples. Economics Letters 2008, 99:85-88.
-
(2008)
Economics Letters
, vol.99
, pp. 85-88
-
-
Harding, M.C.1
-
152
-
-
84900509755
-
-
Sparse Canonical Correlation Analysis. Technical Report.
-
Hardoon, D.R., Shawe-Taylor, J., 2009. Sparse Canonical Correlation Analysis. Technical Report. http://arXiv:0908.2724v1.
-
(2009)
-
-
Hardoon, D.R.1
Shawe-Taylor, J.2
-
154
-
-
42749102750
-
Principal-component-analysis eigenvalue spectra from data with symmetry breaking structure
-
Hoyle D.C., Rattray M. Principal-component-analysis eigenvalue spectra from data with symmetry breaking structure. Physical Review E 2004, 69:026124.
-
(2004)
Physical Review E
, vol.69
, pp. 026124
-
-
Hoyle, D.C.1
Rattray, M.2
-
155
-
-
0003157339
-
Robust estimation of a location parameter
-
Huber P.J. Robust estimation of a location parameter. Annals of Mathematical Statistics 1964, 35:73-101.
-
(1964)
Annals of Mathematical Statistics
, vol.35
, pp. 73-101
-
-
Huber, P.J.1
-
156
-
-
47849095724
-
The limiting distributions of eigenvalues of sample correlation matrices
-
Jiang T. The limiting distributions of eigenvalues of sample correlation matrices. Sankhy a- 2004, 66:35-48.
-
(2004)
Sankhy a-
, vol.66
, pp. 35-48
-
-
Jiang, T.1
-
157
-
-
60449099031
-
Approximation of Haar distributed matrices and limiting distributions of eigenvalues of Jacobi ensembles
-
Jiang T. Approximation of Haar distributed matrices and limiting distributions of eigenvalues of Jacobi ensembles. Probability Theory and Related Fields 2009, 144:221-246.
-
(2009)
Probability Theory and Related Fields
, vol.144
, pp. 221-246
-
-
Jiang, T.1
-
158
-
-
84864392145
-
Low eigenvalues of large random graphs
-
Jiang T. Low eigenvalues of large random graphs. Probability Theory and Related Fields 2012, 153:671-690.
-
(2012)
Probability Theory and Related Fields
, vol.153
, pp. 671-690
-
-
Jiang, T.1
-
159
-
-
68949198727
-
Limiting spectral distribution of large-dimensional sample covariance matrices generated by VARMA
-
Jin B., Wang C., Miao B., LoHuang M.-N. Limiting spectral distribution of large-dimensional sample covariance matrices generated by VARMA. Journal of Multivariate Analysis 2009, 100:2112-2125.
-
(2009)
Journal of Multivariate Analysis
, vol.100
, pp. 2112-2125
-
-
Jin, B.1
Wang, C.2
Miao, B.3
LoHuang, M.-N.4
-
160
-
-
0001459956
-
On fluctuations of eigenvalues of random Hermitian matrices
-
Johansson K. On fluctuations of eigenvalues of random Hermitian matrices. Duke Mathematical Journal 1998, 91:151-204.
-
(1998)
Duke Mathematical Journal
, vol.91
, pp. 151-204
-
-
Johansson, K.1
-
162
-
-
0035530553
-
Universality of the local spacing distribution in certain ensembles of Hermitian Wigner matrices
-
Johansson K. Universality of the local spacing distribution in certain ensembles of Hermitian Wigner matrices. Communications in Mathematical Physics 2001, 215:683-705.
-
(2001)
Communications in Mathematical Physics
, vol.215
, pp. 683-705
-
-
Johansson, K.1
-
163
-
-
84900513479
-
-
Universality of Certain Hermitian Wigner Matrices under Weak Moment Conditions. Technical Report.
-
Johansson, K., 2009. Universality of Certain Hermitian Wigner Matrices under Weak Moment Conditions. Technical Report. http://arXiv:0910.4467.
-
(2009)
-
-
Johansson, K.1
-
164
-
-
84900497352
-
-
High Dimensional Statistical Inference and Random Matrices.
-
Johnstone, I.M., 2007. High Dimensional Statistical Inference and Random Matrices.
-
(2007)
-
-
Johnstone, I.M.1
-
165
-
-
0035641726
-
On the distribution of the largest eigenvalue in principal components analysis
-
Johnstone I.M. On the distribution of the largest eigenvalue in principal components analysis. Annals of Statistics 2001, 29:295-327.
-
(2001)
Annals of Statistics
, vol.29
, pp. 295-327
-
-
Johnstone, I.M.1
-
166
-
-
62349134314
-
Multivariate analysis and Jacobi ensembles. largest eigenvalue, Tracy-Widom limits and rates of convergence
-
Johnstone I.M. Multivariate analysis and Jacobi ensembles. largest eigenvalue, Tracy-Widom limits and rates of convergence. Annals of Statistics 2008, 36:2638-2716.
-
(2008)
Annals of Statistics
, vol.36
, pp. 2638-2716
-
-
Johnstone, I.M.1
-
167
-
-
62349094530
-
Approximate null distribution of the largest root in multivariate analysis
-
Johnstone I.M. Approximate null distribution of the largest root in multivariate analysis. Annals of Applied Statistics 2009, 3:1616-1633.
-
(2009)
Annals of Applied Statistics
, vol.3
, pp. 1616-1633
-
-
Johnstone, I.M.1
-
168
-
-
66549088006
-
On consistency and sparsity for principal components analysis in high dimensions
-
Johnstone I.M., Lu A.Y. On consistency and sparsity for principal components analysis in high dimensions. Journal of the American Statistical Association 2009, 104:682-693.
-
(2009)
Journal of the American Statistical Association
, vol.104
, pp. 682-693
-
-
Johnstone, I.M.1
Lu, A.Y.2
-
169
-
-
84879126948
-
Fast approach to the Tracy-Widom law at the edge of GOE and GUE
-
Johnstone I.M., Ma Z. Fast approach to the Tracy-Widom law at the edge of GOE and GUE. Annals of Applied Probability 2012, 22:1962-1988.
-
(2012)
Annals of Applied Probability
, vol.22
, pp. 1962-1988
-
-
Johnstone, I.M.1
Ma, Z.2
-
170
-
-
84900494412
-
-
RMTstat: distributions, statistics and tests derived from random matrix theory. R Package Version 0.2.
-
Johnstone, I.M., Ma, Z., Perry, P.O., Shahram, M., 2009. RMTstat: distributions, statistics and tests derived from random matrix theory. R Package Version 0.2.
-
(2009)
-
-
Johnstone, I.M.1
Ma, Z.2
Perry, P.O.3
Shahram, M.4
-
172
-
-
0001967458
-
Some limit theorems for the eigenvalues of a sample covariance matrix
-
Jonsson D. Some limit theorems for the eigenvalues of a sample covariance matrix. Journal of Multivariate Analysis 1982, 12:1-38.
-
(1982)
Journal of Multivariate Analysis
, vol.12
, pp. 1-38
-
-
Jonsson, D.1
-
173
-
-
84900482151
-
-
Do Semidefinite Relaxations Really Solve Sparse PCA. Technical Report.
-
Karuthgamer, R., Nadler, B., Vilenchik, D., 2013. Do Semidefinite Relaxations Really Solve Sparse PCA. Technical Report. http://arXiv:1306.3690.
-
(2013)
-
-
Karuthgamer, R.1
Nadler, B.2
Vilenchik, D.3
-
175
-
-
84900483999
-
-
The Isotropic Semicircle Law and Deformation of Wigner Matrices. Technical Report.
-
Knowles, A., Yin, J., 2011. The Isotropic Semicircle Law and Deformation of Wigner Matrices. Technical Report. http://arXiv:1110.6449.
-
(2011)
-
-
Knowles, A.1
Yin, J.2
-
176
-
-
84900478461
-
-
The Outliers of a Deformed Wigner Matrix. Technical Report.
-
Knowles, A., Yin, J., 2012. The Outliers of a Deformed Wigner Matrix. Technical Report. http://arXiv:1207.5619.
-
(2012)
-
-
Knowles, A.1
Yin, J.2
-
177
-
-
50249159453
-
Determining the number of components in a factor model from limited noisy data
-
Kritchman S., Nadler B. Determining the number of components in a factor model from limited noisy data. Chemometrics and Intelligent Laboratory Systems 2008, 94:19-32.
-
(2008)
Chemometrics and Intelligent Laboratory Systems
, vol.94
, pp. 19-32
-
-
Kritchman, S.1
Nadler, B.2
-
178
-
-
73949122606
-
Sparsistency and rates of convergence in large covariance matrix estimation
-
Lam C., Fan J. Sparsistency and rates of convergence in large covariance matrix estimation. Annals of Statistics 2009, 37:4254-4278.
-
(2009)
Annals of Statistics
, vol.37
, pp. 4254-4278
-
-
Lam, C.1
Fan, J.2
-
179
-
-
80052806822
-
Eigenvectors of some large sample covariance matrix ensembles
-
Ledoit O., Péché S. Eigenvectors of some large sample covariance matrix ensembles. Probability Theory and Related Fields 2011, 151:233-264.
-
(2011)
Probability Theory and Related Fields
, vol.151
, pp. 233-264
-
-
Ledoit, O.1
Péché, S.2
-
180
-
-
84872012313
-
Nonlinear shrinkage estimation of large-dimensional covariance matrices
-
Ledoit O., Wolf M. Nonlinear shrinkage estimation of large-dimensional covariance matrices. Annals of Statistics 2012, 40:1024-1060.
-
(2012)
Annals of Statistics
, vol.40
, pp. 1024-1060
-
-
Ledoit, O.1
Wolf, M.2
-
182
-
-
84900517158
-
-
A Necessary and Sufficient Condition for Edge Universality of Wigner Matrices. Technical Report.
-
Lee, J.O., Yin, J., 2012. A Necessary and Sufficient Condition for Edge Universality of Wigner Matrices. Technical Report. http://arXiv:1206.2251.
-
(2012)
-
-
Lee, J.O.1
Yin, J.2
-
184
-
-
0010865655
-
Estimating covariance matrices
-
Loh W.-L. Estimating covariance matrices. Annals of Statistics 1991, 19:283-296.
-
(1991)
Annals of Statistics
, vol.19
, pp. 283-296
-
-
Loh, W.-L.1
-
185
-
-
84900484260
-
-
A More Powerful Two-Sample Test in High Dimensions using Random Projection. Technical Report.
-
Lopes, M.E., Jacob, L., Wainwright, M.J., 2012. A More Powerful Two-Sample Test in High Dimensions using Random Projection. Technical Report. http://arXiv:1108.2401v2.
-
(2012)
-
-
Lopes, M.E.1
Jacob, L.2
Wainwright, M.J.3
-
186
-
-
84900511205
-
-
Sparse Principal Components Analysis for Functional Data. Ph.D. Thesis. Stanford University.
-
Lu, A.Y., 2002. Sparse Principal Components Analysis for Functional Data. Ph.D. Thesis. Stanford University.
-
(2002)
-
-
Lu, A.Y.1
-
187
-
-
77149139140
-
Central limit theorem for linear eigenvalue statistics of random matrices with independent entries
-
Lytova A., Pastur L. Central limit theorem for linear eigenvalue statistics of random matrices with independent entries. Annals of Probability 2009, 37:1778-1840.
-
(2009)
Annals of Probability
, vol.37
, pp. 1778-1840
-
-
Lytova, A.1
Pastur, L.2
-
188
-
-
84856617276
-
Accuracy of the Tracy-Widom limits for the extreme eigenvalues in white Wishart matrices
-
Ma Z. Accuracy of the Tracy-Widom limits for the extreme eigenvalues in white Wishart matrices. Bernoulli 2012, 18:322-359.
-
(2012)
Bernoulli
, vol.18
, pp. 322-359
-
-
Ma, Z.1
-
189
-
-
84877623616
-
Sparse principal component analysis and iterative thresholding
-
Ma Z. Sparse principal component analysis and iterative thresholding. Annals of Statistics 2013, 41:772-801.
-
(2013)
Annals of Statistics
, vol.41
, pp. 772-801
-
-
Ma, Z.1
-
191
-
-
84995186518
-
Portfolio selection
-
Markowitz H. Portfolio selection. Journal of Finance 1952, 7:77-91.
-
(1952)
Journal of Finance
, vol.7
, pp. 77-91
-
-
Markowitz, H.1
-
192
-
-
0000808209
-
The optimization of a quadratic function subject to linear constraints
-
Markowitz H. The optimization of a quadratic function subject to linear constraints. Naval Research Logistics Quarterly 1956, 3:111-133.
-
(1956)
Naval Research Logistics Quarterly
, vol.3
, pp. 111-133
-
-
Markowitz, H.1
-
193
-
-
0002063041
-
Robust m-estimators of multivariate location and scatter
-
Maronna R.A. Robust m-estimators of multivariate location and scatter. Annals of Statistics 1976, 4:51-76.
-
(1976)
Annals of Statistics
, vol.4
, pp. 51-76
-
-
Maronna, R.A.1
-
194
-
-
0000263234
-
Distribution of eigenvalues for some sets of random matrices
-
Marčenko V., Pastur L. Distribution of eigenvalues for some sets of random matrices. Mathematics of the USSR-Sbornik 1967, 1:457-483.
-
(1967)
Mathematics of the USSR-Sbornik
, vol.1
, pp. 457-483
-
-
Marčenko, V.1
Pastur, L.2
-
196
-
-
33747163541
-
High dimensional graphs and variable selection with the lasso
-
Meinshausen N., Bühlmann P. High dimensional graphs and variable selection with the lasso. Annals of Statistics 2006, 34:1436-1462.
-
(2006)
Annals of Statistics
, vol.34
, pp. 1436-1462
-
-
Meinshausen, N.1
Bühlmann, P.2
-
197
-
-
55349116422
-
Improved estimation of eigenvalues and eigenvectors of covariance matrices using their sample estimates
-
Mestre X. Improved estimation of eigenvalues and eigenvectors of covariance matrices using their sample estimates. IEEE Transactions on Information Theory 2008, 54:5113-5129.
-
(2008)
IEEE Transactions on Information Theory
, vol.54
, pp. 5113-5129
-
-
Mestre, X.1
-
198
-
-
33645944056
-
Second order freeness and fluctuations of random matrices. I. Gaussian and Wishart matrices and cyclic Fock spaces
-
Mingo J.A., Specicher R. Second order freeness and fluctuations of random matrices. I. Gaussian and Wishart matrices and cyclic Fock spaces. Journal of Functional Analysis 2006, 235:226-270.
-
(2006)
Journal of Functional Analysis
, vol.235
, pp. 226-270
-
-
Mingo, J.A.1
Specicher, R.2
-
200
-
-
84860628853
-
Graph spectra and detectability of community structure in networks
-
Nadakuditi R.R., Newman M.E.J. Graph spectra and detectability of community structure in networks. Physical Review Letters 2012, 108:188701.
-
(2012)
Physical Review Letters
, vol.108
, pp. 188701
-
-
Nadakuditi, R.R.1
Newman, M.E.J.2
-
201
-
-
77952589875
-
Fundamental limit of sample generalized eigenvalue based detection of signals in noise using relatively few signal-bearing and noise-only samples
-
Nadakuditi R.R., Silverstein J.W. Fundamental limit of sample generalized eigenvalue based detection of signals in noise using relatively few signal-bearing and noise-only samples. IEEE Journal of Selected Topics in Signal Processing 2010, 4:468-480.
-
(2010)
IEEE Journal of Selected Topics in Signal Processing
, vol.4
, pp. 468-480
-
-
Nadakuditi, R.R.1
Silverstein, J.W.2
-
202
-
-
62349121558
-
Finite sample approximation results for principal component analysis. a matrix perturbation approach
-
Nadler B. Finite sample approximation results for principal component analysis. a matrix perturbation approach. Annals of Statistics 2008, 36:2791-2817.
-
(2008)
Annals of Statistics
, vol.36
, pp. 2791-2817
-
-
Nadler, B.1
-
203
-
-
78649463596
-
On the distribution of the ratio of the largest eigenvalue to the trace of a Wishart matrix
-
Nadler B. On the distribution of the ratio of the largest eigenvalue to the trace of a Wishart matrix. Journal of Multivariate Analysis 2011, 102:363-371.
-
(2011)
Journal of Multivariate Analysis
, vol.102
, pp. 363-371
-
-
Nadler, B.1
-
204
-
-
84900496280
-
-
On the Distribution of Roy's Largest Root Test in MANOVA and in Signal Detection in Noise. Technical Report. Stanford University.
-
Nadler, B., Johnstone, I.M., 2011. On the Distribution of Roy's Largest Root Test in MANOVA and in Signal Detection in Noise. Technical Report. Stanford University.
-
(2011)
-
-
Nadler, B.1
Johnstone, I.M.2
-
205
-
-
80052152164
-
-
Performance of eigenvalue-based signal detectors with known and unknown noise level. In: IEEE International Conference on Communications ICC2011.
-
Nadler, B., Penna, B., Garello, R., 2008. Performance of eigenvalue-based signal detectors with known and unknown noise level. In: IEEE International Conference on Communications ICC2011.
-
(2008)
-
-
Nadler, B.1
Penna, B.2
Garello, R.3
-
206
-
-
84900511577
-
-
Random Matrices: Law of the Determinant. Technical Report.
-
Nguyen, H.H., Vu, V., 2012. Random Matrices: Law of the Determinant. Technical Report. http://arXiv:1112.0752v2.
-
(2012)
-
-
Nguyen, H.H.1
Vu, V.2
-
209
-
-
70349835782
-
Testing hypotheses about the number of factors in large factor models
-
Onatski A. Testing hypotheses about the number of factors in large factor models. Econometrica 2009, 77:1447-1479.
-
(2009)
Econometrica
, vol.77
, pp. 1447-1479
-
-
Onatski, A.1
-
210
-
-
78650967353
-
Determining the number of factors from empirical distribution of eigenvalues
-
Onatski A. Determining the number of factors from empirical distribution of eigenvalues. Review of Economics and Statistics 2010, 92:1004-1016.
-
(2010)
Review of Economics and Statistics
, vol.92
, pp. 1004-1016
-
-
Onatski, A.1
-
211
-
-
84860588430
-
Asymptotics of the principal components estimator of large factor models with weakly influential factors
-
Onatski A. Asymptotics of the principal components estimator of large factor models with weakly influential factors. Journal of Econometrics 2012, 168:244-258.
-
(2012)
Journal of Econometrics
, vol.168
, pp. 244-258
-
-
Onatski, A.1
-
212
-
-
77949568579
-
Gaussian fluctuations of eigenvalues in Wigner random matrices
-
O'Rourke S. Gaussian fluctuations of eigenvalues in Wigner random matrices. Journal of Statistical Physics 2010, 138:1045-1066.
-
(2010)
Journal of Statistical Physics
, vol.138
, pp. 1045-1066
-
-
O'Rourke, S.1
-
213
-
-
84900510327
-
-
Fluctuations of Matrix Entries of Regular Functions of Sample Covariance Random Matrices. Technical Report.
-
O'Rourke, S., Renfrew, D., Soshnikov, A., 2011. Fluctuations of Matrix Entries of Regular Functions of Sample Covariance Random Matrices. Technical Report. http://arXiv:1106.0320v1.
-
(2011)
-
-
O'Rourke, S.1
Renfrew, D.2
Soshnikov, A.3
-
214
-
-
84900499563
-
-
On Fluctuations of Matrix Entries of Regular Functions of Wigner Matrices with Non-identically Distributed Entries. Technical Report.
-
O'Rourke, S., Renfrew, D., Soshnikov, A., 2011. On Fluctuations of Matrix Entries of Regular Functions of Wigner Matrices with Non-identically Distributed Entries. Technical Report. http://arXiv:1104.1663v2.
-
(2011)
-
-
O'Rourke, S.1
Renfrew, D.2
Soshnikov, A.3
-
215
-
-
84900508201
-
-
Asymptotic Theory for Sample Covariance Matrices under Cross-Sectional Dependence. Technical Report. Nanyang Technological University, Singapore.
-
Pan, G.M., Gao, J., 2009. Asymptotic Theory for Sample Covariance Matrices under Cross-Sectional Dependence. Technical Report. Nanyang Technological University, Singapore.
-
(2009)
-
-
Pan, G.M.1
Gao, J.2
-
218
-
-
84900478822
-
-
Non-Gaussian Limiting Laws for the Entries of Regular Functions of the Wigner Matrices. Technical Report.
-
Pastur, L., Lytova, A., 2011. Non-Gaussian Limiting Laws for the Entries of Regular Functions of the Wigner Matrices. Technical Report. http://arXiv:1103.2345.
-
(2011)
-
-
Pastur, L.1
Lytova, A.2
-
221
-
-
38549175880
-
Asymptotics of sample eigenstructure for a large dimensional spiked covariance model
-
Paul D. Asymptotics of sample eigenstructure for a large dimensional spiked covariance model. Statistica Sinica 2007, 17:1617-1642.
-
(2007)
Statistica Sinica
, vol.17
, pp. 1617-1642
-
-
Paul, D.1
-
222
-
-
84974588248
-
Asymptotic distribution of the smallest eigenvalue of Wishart(N,n) when N, n→∞ such that N/n→0
-
World Scientific, J. Jiang, G.G. Roussas, F.J. Samaniego (Eds.)
-
Paul D. Asymptotic distribution of the smallest eigenvalue of Wishart(N,n) when N, n→∞ such that N/n→0. Nonparametric Statistical Methods and Related Topics. A Festschrift in Honor of Professor P K Bhattacharya on the Occasion of His 80th Birthday 2011, 423-458. World Scientific. J. Jiang, G.G. Roussas, F.J. Samaniego (Eds.).
-
(2011)
Nonparametric Statistical Methods and Related Topics. A Festschrift in Honor of Professor P K Bhattacharya on the Occasion of His 80th Birthday
, pp. 423-458
-
-
Paul, D.1
-
223
-
-
84900500123
-
-
Augmented Sparse Principal Component Analysis for High Dimensional Data. Technical Report.
-
Paul, D., Johnstone, I.M., 2012. Augmented Sparse Principal Component Analysis for High Dimensional Data. Technical Report.
-
(2012)
-
-
Paul, D.1
Johnstone, I.M.2
-
224
-
-
55049106385
-
No eigenvalues outside the limiting empirical spectral distribution of a separable covariance matrix
-
Paul D., Silverstein J.W. No eigenvalues outside the limiting empirical spectral distribution of a separable covariance matrix. Journal of Multivariate Analysis 2009, 100:37-57.
-
(2009)
Journal of Multivariate Analysis
, vol.100
, pp. 37-57
-
-
Paul, D.1
Silverstein, J.W.2
-
225
-
-
0000325341
-
On lines and planes of closest fit to systems of points in space
-
Pearson K. On lines and planes of closest fit to systems of points in space. Philosophical Magazine 1901, 2(1):559-572.
-
(1901)
Philosophical Magazine
, vol.2
, Issue.1
, pp. 559-572
-
-
Pearson, K.1
-
226
-
-
59449098080
-
Universality results for the largest eigenvalues of some sample covariance matrix ensembles
-
Péché S. Universality results for the largest eigenvalues of some sample covariance matrix ensembles. Probability Theory and Related Fields 2009, 143:481-516.
-
(2009)
Probability Theory and Related Fields
, vol.143
, pp. 481-516
-
-
Péché, S.1
-
227
-
-
45149083670
-
On the lower bound of the spectral norm of symmetric random matrices with independent entries
-
Péché S., Soshnikov A. On the lower bound of the spectral norm of symmetric random matrices with independent entries. Electronic Communications in Probability 2008, 13:280-290.
-
(2008)
Electronic Communications in Probability
, vol.13
, pp. 280-290
-
-
Péché, S.1
Soshnikov, A.2
-
228
-
-
66549116888
-
Partial correlation estimation by joint sparse regression models
-
Peng P., Wang P., Zhou N., Zhu J. Partial correlation estimation by joint sparse regression models. Journal of the American Statistical Association 2009, 104:735-746.
-
(2009)
Journal of the American Statistical Association
, vol.104
, pp. 735-746
-
-
Peng, P.1
Wang, P.2
Zhou, N.3
Zhu, J.4
-
229
-
-
84900466726
-
-
Eigenvalue Distribution of Large Sample Covariance Matrices of Linear Processes. Technical Report.
-
Pfaffel, O., Schlemm, E., 2012. Eigenvalue Distribution of Large Sample Covariance Matrices of Linear Processes. Technical Report. http://arXiv:1201.3828.
-
(2012)
-
-
Pfaffel, O.1
Schlemm, E.2
-
230
-
-
84900504779
-
-
Universality of Covariance Matrices. Technical Report.
-
Pillai, N., Jin, J., 2011. Universality of Covariance Matrices. Technical Report. http://arXiv:1110.2501.
-
(2011)
-
-
Pillai, N.1
Jin, J.2
-
231
-
-
84872085835
-
Edge universality of correlation matrices
-
Pillai N., Jin J. Edge universality of correlation matrices. Annals of Statistics 2012, 40:1737-1763.
-
(2012)
Annals of Statistics
, vol.40
, pp. 1737-1763
-
-
Pillai, N.1
Jin, J.2
-
232
-
-
84900521855
-
-
Fluctuations of Matrix Entries of Regular Functions of Wigner Matrices.
-
Pizzo, A., Renfrew, D., Soshnikov, A., 2012. Fluctuations of Matrix Entries of Regular Functions of Wigner Matrices.
-
(2012)
-
-
Pizzo, A.1
Renfrew, D.2
Soshnikov, A.3
-
234
-
-
79959893612
-
Beta ensembles, stochastic Airy spectrum, and a diffusion
-
Ramírez J.A., Rider B., Virág B. Beta ensembles, stochastic Airy spectrum, and a diffusion. Journal of the American Mathematical Society 2011, 24:919-944.
-
(2011)
Journal of the American Mathematical Society
, vol.24
, pp. 919-944
-
-
Ramírez, J.A.1
Rider, B.2
Virág, B.3
-
235
-
-
46749119703
-
Statistical eigen-inference from large Wishart matrices
-
Rao N.R., Mingo J.A., Speicher R., Edelman A. Statistical eigen-inference from large Wishart matrices. Annals of Statistics 2008, 36:2850-2885.
-
(2008)
Annals of Statistics
, vol.36
, pp. 2850-2885
-
-
Rao, N.R.1
Mingo, J.A.2
Speicher, R.3
Edelman, A.4
-
238
-
-
84906824429
-
On finite rank deformations of Wigner matrices II. delocalized perturbations
-
Renfrew D., Soshnikov A. On finite rank deformations of Wigner matrices II. delocalized perturbations. Random Matrices. Theory and Applications 2013, 2:1250015.
-
(2013)
Random Matrices. Theory and Applications
, vol.2
, pp. 1250015
-
-
Renfrew, D.1
Soshnikov, A.2
-
239
-
-
80052860256
-
Spectral clustering and high-dimensional stochastic blockmodel
-
Rohe K., Chatterjee S., Yu B. Spectral clustering and high-dimensional stochastic blockmodel. Annals of Statistics 2011, 39:1878-1915.
-
(2011)
Annals of Statistics
, vol.39
, pp. 1878-1915
-
-
Rohe, K.1
Chatterjee, S.2
Yu, B.3
-
240
-
-
62349119614
-
Sparse permutation invariant covariance estimation
-
Rothman A.J., Bickel P.J., Levina E., Zhu J. Sparse permutation invariant covariance estimation. Electronic Journal of Statistics 2008, 2:494-515.
-
(2008)
Electronic Journal of Statistics
, vol.2
, pp. 494-515
-
-
Rothman, A.J.1
Bickel, P.J.2
Levina, E.3
Zhu, J.4
-
242
-
-
0000308754
-
On a heuristic method of test construction and its use in multivariate analysis
-
Roy S.N. On a heuristic method of test construction and its use in multivariate analysis. Annals of Mathematical Statistics 1953, 24:220-238.
-
(1953)
Annals of Mathematical Statistics
, vol.24
, pp. 220-238
-
-
Roy, S.N.1
-
243
-
-
80054725919
-
Sparse linear discriminant analysis by thresholding for high-dimensional data
-
Shao J., Wang Y., Deng X., Wang S. Sparse linear discriminant analysis by thresholding for high-dimensional data. Annals of Statistics 2011, 39:1241-1265.
-
(2011)
Annals of Statistics
, vol.39
, pp. 1241-1265
-
-
Shao, J.1
Wang, Y.2
Deng, X.3
Wang, S.4
-
244
-
-
84900489912
-
-
Central Limit Theorem for Linear Eigenvalue Statistics of Wigner and Sample Covariance Random Matrices.
-
Shcherbina, M., 2011. Central Limit Theorem for Linear Eigenvalue Statistics of Wigner and Sample Covariance Random Matrices.
-
(2011)
-
-
Shcherbina, M.1
-
245
-
-
0346720736
-
Some limit theorems on the eigenvectors of large dimensional sample covariance matrices
-
Silverstein J.W. Some limit theorems on the eigenvectors of large dimensional sample covariance matrices. Journal of Multivariate Analysis 1984, 15:295-324.
-
(1984)
Journal of Multivariate Analysis
, vol.15
, pp. 295-324
-
-
Silverstein, J.W.1
-
246
-
-
0040762330
-
The limiting eigenvalue distribution of a multivariate F matrix
-
Silverstein J.W. The limiting eigenvalue distribution of a multivariate F matrix. SIAM Journal of Mathematical Analysis 1985, 16:641-646.
-
(1985)
SIAM Journal of Mathematical Analysis
, vol.16
, pp. 641-646
-
-
Silverstein, J.W.1
-
247
-
-
0346720736
-
On the eigenvectors of large-dimensional sample covariance matrices
-
Silverstein J.W. On the eigenvectors of large-dimensional sample covariance matrices. Journal of Multivariate Analysis 1989, 15:295-324.
-
(1989)
Journal of Multivariate Analysis
, vol.15
, pp. 295-324
-
-
Silverstein, J.W.1
-
248
-
-
0347351271
-
Weak convergence of random functions defined by the eigenvectors of sample covariance matrices
-
Silverstein J.W. Weak convergence of random functions defined by the eigenvectors of sample covariance matrices. Annals of Probability 1990, 18:1174-1193.
-
(1990)
Annals of Probability
, vol.18
, pp. 1174-1193
-
-
Silverstein, J.W.1
-
249
-
-
0000602132
-
On the empirical distribution of eigenvalues of a class of large dimensional random matrices
-
Silverstein J.W., Bai Z.D. On the empirical distribution of eigenvalues of a class of large dimensional random matrices. Journal of Multivariate Analysis 1995, 54:175-192.
-
(1995)
Journal of Multivariate Analysis
, vol.54
, pp. 175-192
-
-
Silverstein, J.W.1
Bai, Z.D.2
-
251
-
-
27144550468
-
Central limit theorem for traces of large random symmetric matrices with independent matrix elements
-
Sinai Y., Soshnikov A. Central limit theorem for traces of large random symmetric matrices with independent matrix elements. Boletim da Sociedade Brasileira de Matemática (N.S.) 1998, 29:1-24.
-
(1998)
Boletim da Sociedade Brasileira de Matemática (N.S.)
, vol.29
, pp. 1-24
-
-
Sinai, Y.1
Soshnikov, A.2
-
252
-
-
37649004279
-
Random matrices, nonbacktracking walks, and orthogonal polynomials
-
Sodin S. Random matrices, nonbacktracking walks, and orthogonal polynomials. Journal of Mathematical Physics 2007, 48:123503.
-
(2007)
Journal of Mathematical Physics
, vol.48
, pp. 123503
-
-
Sodin, S.1
-
253
-
-
70350418110
-
Tracy-Widom law for some sparse random matrices
-
Sodin S. Tracy-Widom law for some sparse random matrices. Journal of Statistical Physics 2009, 136:834-841.
-
(2009)
Journal of Statistical Physics
, vol.136
, pp. 834-841
-
-
Sodin, S.1
-
254
-
-
77957911182
-
The spectral edge of some random band matrices
-
Sodin S. The spectral edge of some random band matrices. Annals of Mathematics 2010, 172:2223-2251.
-
(2010)
Annals of Mathematics
, vol.172
, pp. 2223-2251
-
-
Sodin, S.1
-
255
-
-
0033473406
-
Universality at the edge of the spectrum in Wigner random matrices
-
Soshnikov A. Universality at the edge of the spectrum in Wigner random matrices. Communications in Mathematical Physics 1999, 207:697-733.
-
(1999)
Communications in Mathematical Physics
, vol.207
, pp. 697-733
-
-
Soshnikov, A.1
-
256
-
-
0034556390
-
Determinantal random point fields
-
Soshnikov A. Determinantal random point fields. Russian Mathematical Surveys 2000, 55:923-975.
-
(2000)
Russian Mathematical Surveys
, vol.55
, pp. 923-975
-
-
Soshnikov, A.1
-
257
-
-
0035995573
-
Gaussian limit for determinantal random point fields
-
Soshnikov A. Gaussian limit for determinantal random point fields. Annals of Probability 2002, 30:171-187.
-
(2002)
Annals of Probability
, vol.30
, pp. 171-187
-
-
Soshnikov, A.1
-
258
-
-
0141450345
-
A note on universality of the distribution of the largest eigenvalues in certain sample covariance matrices
-
Soshnikov A. A note on universality of the distribution of the largest eigenvalues in certain sample covariance matrices. Journal of Statistical Physics 2002, 108:1033-1056.
-
(2002)
Journal of Statistical Physics
, vol.108
, pp. 1033-1056
-
-
Soshnikov, A.1
-
259
-
-
4644351110
-
Poisson statistics for the largest eigenvalue of Wigner random matrices with heavy tails
-
Soshnikov A. Poisson statistics for the largest eigenvalue of Wigner random matrices with heavy tails. Electronic Communications in Probability 2004, 9:82-91.
-
(2004)
Electronic Communications in Probability
, vol.9
, pp. 82-91
-
-
Soshnikov, A.1
-
260
-
-
33749024750
-
-
Poisson statistics for the largest eigenvalues in random matrix ensembles. In: Mathematical Physics of Quantum Mechanics, Lecture Notes in Physics. Springer, Berlin
-
Soshnikov, A., 2006. Poisson statistics for the largest eigenvalues in random matrix ensembles. In: Mathematical Physics of Quantum Mechanics, Lecture Notes in Physics, vol. 690. Springer, Berlin, pp. 351-364.
-
(2006)
, vol.690
, pp. 351-364
-
-
Soshnikov, A.1
-
261
-
-
38349085267
-
A test for the mean vector with fewer observations than the dimension
-
Srivastava M.S., Du M. A test for the mean vector with fewer observations than the dimension. Journal of Multivariate Analysis 2008, 99:386-402.
-
(2008)
Journal of Multivariate Analysis
, vol.99
, pp. 386-402
-
-
Srivastava, M.S.1
Du, M.2
-
262
-
-
84900472940
-
-
Some Problems in Multivariate Analysis I. Technical Report. University of California, Berkeley.
-
Stein, C., 1956. Some Problems in Multivariate Analysis I. Technical Report. University of California, Berkeley.
-
(1956)
-
-
Stein, C.1
-
263
-
-
84900516484
-
-
Estimation of a Covariance Matrix. Technical Report, Rietz Lecture, 39th Annual IMS Meeting. Atlanta, Georgia.
-
Stein, C., 1976. Estimation of a Covariance Matrix. Technical Report, Rietz Lecture, 39th Annual IMS Meeting. Atlanta, Georgia.
-
(1976)
-
-
Stein, C.1
-
264
-
-
84900486120
-
-
The Stochastic Operator Approach to Random Matrix Theory. Ph.D. Thesis. Massachusetts , of Technology.
-
Sutton, B.D., 2005. The Stochastic Operator Approach to Random Matrix Theory. Ph.D. Thesis. Massachusetts Institute of Technology.
-
(2005)
-
-
Sutton, B.D.1
-
266
-
-
77952883804
-
Random matrices. the distribution of the smallest singular values
-
Tao T., Vu V. Random matrices. the distribution of the smallest singular values. Geometric Functional Analysis 2010, 20:260-297.
-
(2010)
Geometric Functional Analysis
, vol.20
, pp. 260-297
-
-
Tao, T.1
Vu, V.2
-
267
-
-
77954624704
-
Random matrices. universality of local eigenvalue statistics up to the edge
-
Tao T., Vu V. Random matrices. universality of local eigenvalue statistics up to the edge. Communications in Mathematical Physics 2010, 298:549-572.
-
(2010)
Communications in Mathematical Physics
, vol.298
, pp. 549-572
-
-
Tao, T.1
Vu, V.2
-
268
-
-
79953112440
-
Random matrices. universality of local eigenvalue statistics
-
Tao T., Vu V. Random matrices. universality of local eigenvalue statistics. Acta Mathematica 2011, 206:127-204.
-
(2011)
Acta Mathematica
, vol.206
, pp. 127-204
-
-
Tao, T.1
Vu, V.2
-
269
-
-
84861675260
-
A central limit theorem for the determinant of a Wigner matrix
-
Tao T., Vu V. A central limit theorem for the determinant of a Wigner matrix. Advances in Mathematics 2012, 231:74-101.
-
(2012)
Advances in Mathematics
, vol.231
, pp. 74-101
-
-
Tao, T.1
Vu, V.2
-
270
-
-
84863108484
-
Random covariance matrices. universality of local statistics of eigenvalues
-
Tao T., Vu V. Random covariance matrices. universality of local statistics of eigenvalues. Annals of Probability 2012, 40:1285-1315.
-
(2012)
Annals of Probability
, vol.40
, pp. 1285-1315
-
-
Tao, T.1
Vu, V.2
-
271
-
-
84900490279
-
-
Random Matrices: Sharp Concentration of Eigenvalues. Technical Report.
-
Tao, T., Vu, V., 2012. Random Matrices: Sharp Concentration of Eigenvalues. Technical Report. http://arXiv:1201.4789v3.
-
(2012)
-
-
Tao, T.1
Vu, V.2
-
273
-
-
0003025563
-
Fredholm determinants, differential equations and matrix models
-
Tracy C., Widom H. Fredholm determinants, differential equations and matrix models. Communications in Mathematical Physics 1994, 163:33-72.
-
(1994)
Communications in Mathematical Physics
, vol.163
, pp. 33-72
-
-
Tracy, C.1
Widom, H.2
-
277
-
-
85027937377
-
Spectral norm of products of random and deterministic matrices
-
Vershynin R. Spectral norm of products of random and deterministic matrices. Probability Theory and Related Fields 2011, 150:471-509.
-
(2011)
Probability Theory and Related Fields
, vol.150
, pp. 471-509
-
-
Vershynin, R.1
-
278
-
-
84938533326
-
Introduction to the non-asymptotic analysis of random matrices
-
Cambridge University Press, Y. Eldar, G. Kutyniok (Eds.)
-
Vershynin R. Introduction to the non-asymptotic analysis of random matrices. Compressed Sensing, Theory and Applications 2012, 210-268. Cambridge University Press. Y. Eldar, G. Kutyniok (Eds.).
-
(2012)
Compressed Sensing, Theory and Applications
, pp. 210-268
-
-
Vershynin, R.1
-
279
-
-
0002247902
-
The strong limits of random matrix spectra for sample matrices of independent elements
-
Wachter K.W. The strong limits of random matrix spectra for sample matrices of independent elements. Annals of Probability 1978, 6:1-18.
-
(1978)
Annals of Probability
, vol.6
, pp. 1-18
-
-
Wachter, K.W.1
-
280
-
-
0039584778
-
The limiting empirical measure of multiple discriminant ratios
-
Wachter K.W. The limiting empirical measure of multiple discriminant ratios. Annals of Statistics 1980, 8:937-957.
-
(1980)
Annals of Statistics
, vol.8
, pp. 937-957
-
-
Wachter, K.W.1
-
281
-
-
84900498415
-
-
A Shrinkage Estimation of Large Dimensional Precision Matrices using Random Matrix Theory. Technical Report.
-
Wang, C., Pan, G.M., Cao, L., 2012. A Shrinkage Estimation of Large Dimensional Precision Matrices using Random Matrix Theory. Technical Report. http://arXiv:1211.2400v1.
-
(2012)
-
-
Wang, C.1
Pan, G.M.2
Cao, L.3
-
282
-
-
84867546988
-
Random covariance matrices. universality of local statistics of eigenvalues up to the edge
-
Wang K. Random covariance matrices. universality of local statistics of eigenvalues up to the edge. Random Matrices. Theory and Applications 2012, 1:1150005.
-
(2012)
Random Matrices. Theory and Applications
, vol.1
, pp. 1150005
-
-
Wang, K.1
-
284
-
-
0033074163
-
On the relation between orthogonal, symplectic and unitary ensembles
-
Widom H. On the relation between orthogonal, symplectic and unitary ensembles. Journal of Statistical Physics 1999, 94:347-363.
-
(1999)
Journal of Statistical Physics
, vol.94
, pp. 347-363
-
-
Widom, H.1
-
285
-
-
0000840166
-
Characteristic vectors of bordered matrices with infinite dimensions
-
Wigner E.P. Characteristic vectors of bordered matrices with infinite dimensions. Annals of Mathematics 1955, 62:548-564.
-
(1955)
Annals of Mathematics
, vol.62
, pp. 548-564
-
-
Wigner, E.P.1
-
286
-
-
0001560594
-
On the distribution of the roots of certain symmetric matrices
-
Wigner E.P. On the distribution of the roots of certain symmetric matrices. Annals of Mathematics 1958, 67:325-328.
-
(1958)
Annals of Mathematics
, vol.67
, pp. 325-328
-
-
Wigner, E.P.1
-
287
-
-
0002125597
-
The generalised product moment distribution in samples from a normal multivariate population
-
Wishart J. The generalised product moment distribution in samples from a normal multivariate population. Biometrika 1928, 20A:32-52.
-
(1928)
Biometrika
, vol.20 A
, pp. 32-52
-
-
Wishart, J.1
-
290
-
-
70149096300
-
A penalized matrix decomposition, with applications to sparse principal components and canonical correlation analysis
-
Witten D.M., Tibshirani R., Hastie T. A penalized matrix decomposition, with applications to sparse principal components and canonical correlation analysis. Biostatistics 2009, 10:515-534.
-
(2009)
Biostatistics
, vol.10
, pp. 515-534
-
-
Witten, D.M.1
Tibshirani, R.2
Hastie, T.3
-
291
-
-
3843104546
-
Nonparametric estimation of large covariance matrices of longitudinal data
-
Wu W.B., Pourahmadi M. Nonparametric estimation of large covariance matrices of longitudinal data. Biometrika 2003, 90:831-844.
-
(2003)
Biometrika
, vol.90
, pp. 831-844
-
-
Wu, W.B.1
Pourahmadi, M.2
-
292
-
-
73249151952
-
Banding sample covariance matrices of stationary processes
-
Wu W.B., Pourahmadi M. Banding sample covariance matrices of stationary processes. Statistica Sinica 2009, 19:1755-1768.
-
(2009)
Statistica Sinica
, vol.19
, pp. 1755-1768
-
-
Wu, W.B.1
Pourahmadi, M.2
-
293
-
-
84865830163
-
The convergence of the empirical distribution of canonical correlation coefficients
-
Yang Y., Pan G.M. The convergence of the empirical distribution of canonical correlation coefficients. Electronic Journal of Probability 2012, 17:1-13.
-
(2012)
Electronic Journal of Probability
, vol.17
, pp. 1-13
-
-
Yang, Y.1
Pan, G.M.2
-
294
-
-
80053555652
-
A note on a Marčenko-Pastur type theorem for time series
-
Yao J.-F. A note on a Marčenko-Pastur type theorem for time series. Statistics & Probability Letters 2012, 82:22-28.
-
(2012)
Statistics & Probability Letters
, vol.82
, pp. 22-28
-
-
Yao, J.-F.1
-
295
-
-
0003059603
-
Limiting spectral distribution for a class of random matrices
-
Yin Y.Q. Limiting spectral distribution for a class of random matrices. Journal of Multivariate Analysis 1986, 20:50-68.
-
(1986)
Journal of Multivariate Analysis
, vol.20
, pp. 50-68
-
-
Yin, Y.Q.1
-
297
-
-
0001136512
-
On the limit of the largest eigenvalue of the large dimensional sample covariance matrix
-
Yin Y.Q., Bai Z.D., Krishnaiah P.R. On the limit of the largest eigenvalue of the large dimensional sample covariance matrix. Probability Theory and Related Fields 1988, 78:509-521.
-
(1988)
Probability Theory and Related Fields
, vol.78
, pp. 509-521
-
-
Yin, Y.Q.1
Bai, Z.D.2
Krishnaiah, P.R.3
-
298
-
-
0042112495
-
A limit theorem for the eigenvalues of product of two random matrices
-
Yin Y.Q., Krishnaiah P.R. A limit theorem for the eigenvalues of product of two random matrices. Journal of Multivariate Analysis 1983, 13:489-507.
-
(1983)
Journal of Multivariate Analysis
, vol.13
, pp. 489-507
-
-
Yin, Y.Q.1
Krishnaiah, P.R.2
-
299
-
-
33947115409
-
Model selection and estimation in the Gaussian graphical model
-
Yuan M., Lin Y. Model selection and estimation in the Gaussian graphical model. Biometrika 2007, 94:19-35.
-
(2007)
Biometrika
, vol.94
, pp. 19-35
-
-
Yuan, M.1
Lin, Y.2
-
300
-
-
84900511661
-
-
Spectral Analysis of Large Dimensional Random Matrices. Ph.D. Thesis. National University of Singapore.
-
Zhang, L., 2006. Spectral Analysis of Large Dimensional Random Matrices. Ph.D. Thesis. National University of Singapore.
-
(2006)
-
-
Zhang, L.1
-
301
-
-
84871929900
-
Central limit theorems for linear spectral statistics of large dimensional F-matrices
-
Zheng S. Central limit theorems for linear spectral statistics of large dimensional F-matrices. Annales de l'Institut Henri Poincaré Probabilités et Statistiques 2012, 48:444-476.
-
(2012)
Annales de l'Institut Henri Poincaré Probabilités et Statistiques
, vol.48
, pp. 444-476
-
-
Zheng, S.1
-
302
-
-
84862846553
-
On the estimation of integrated covariance matrices of high dimensional diffusion processes
-
Zheng X., Li Y. On the estimation of integrated covariance matrices of high dimensional diffusion processes. Annals of Statistics 2011, 39:3121-3151.
-
(2011)
Annals of Statistics
, vol.39
, pp. 3121-3151
-
-
Zheng, X.1
Li, Y.2
|