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Silverstein, Jack W.

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Author ID: silverstein.jack-w Recent zbMATH articles by "Silverstein, Jack W."
Published as: Silverstein, Jack W.; Silverstein, J. W.
Documents Indexed: 40 Publications since 1976, including 2 Books
1 Further Contribution

Publications by Year

Citations contained in zbMATH Open

38 Publications have been cited 1,680 times in 774 Documents Cited by Year
Spectral analysis of large dimensional random matrices. 2nd ed. Zbl 1301.60002
Bai, Zhidong; Silverstein, Jack W.
302
2010
Methodologies in spectral analysis of large dimensional random matrices, a review. (With comments and rejoinder). Zbl 0949.60077
Bai, Z. D.
171
1999
CLT for linear spectral statistics of large-dimensional sample covariance matrices. Zbl 1063.60022
Bai, Z. D.; Silverstein, Jack W.
142
2004
Eigenvalues of large sample covariance matrices of spiked population models. Zbl 1220.15011
Baik, Jinho; Silverstein, Jack W.
137
2006
No eigenvalues outside the support of the limiting spectral distribution of large-dimensional sample covariance matrices. Zbl 0937.60017
Bai, Z. D.; Silverstein, Jack W.
117
1998
Strong convergence of the empirical distribution of eigenvalues of large dimensional random matrices. Zbl 0851.62015
Silverstein, Jack W.
112
1995
On the empirical distribution of eigenvalues of a class of large dimensional random matrices. Zbl 0833.60038
Silverstein, Jack W.; Bai, Z. D.
107
1995
Analysis of the limiting spectral distribution of large dimensional random matrices. Zbl 0872.60013
Silverstein, Jack W.; Choi, Sang-Il
78
1995
Spectral analysis of large dimensional random matrices. Zbl 1196.60002
Bai, Zhidong; Silverstein, Jack W.
77
2006
The smallest eigenvalue of a large dimensional Wishart matrix. Zbl 0591.60025
Silverstein, Jack W.
50
1985
A note on the largest eigenvalue of a large dimensional sample covariance matrix. Zbl 0652.60040
Bai, Z. D.; Silverstein, Jack W.; Yin, Y. Q.
48
1988
On the empirical distribution of eigenvalues of large dimensional information-plus-noise-type matrices. Zbl 1115.60035
Dozier, R. Brent; Silverstein, Jack W.
42
2007
Exact separation of eigenvalues of large dimensional sample covariance matrices. Zbl 0964.60041
Bai, Z. D.; Silverstein, Jack W.
32
1999
Spectral analysis of networks with random topologies. Zbl 0355.94043
Grenander, Ulf; Silverstein, Jack W.
23
1977
No eigenvalues outside the support of the limiting empirical spectral distribution of a separable covariance matrix. Zbl 1154.60320
Paul, Debashis; Silverstein, Jack W.
20
2009
Weak convergence of random functions defined by the eigenvectors of sample covariance matrices. Zbl 0708.62051
Silverstein, Jack W.
18
1990
Gaussian fluctuations for non-Hermitian random matrix ensembles. Zbl 1122.15022
Rider, B.; Silverstein, Jack W.
18
2006
The limiting eigenvalue distribution of a multivariate F matrix. Zbl 0606.62054
Silverstein, Jack W.
16
1985
On the eigenvectors of large dimensional sample covariance matrices. Zbl 0678.60011
Silverstein, Jack W.
16
1989
Analysis of the limiting spectral distribution of large dimensional information-plus-noise type matrices. Zbl 1127.62015
Dozier, R. Brent; Silverstein, Jack W.
16
2007
A deterministic equivalent for the analysis of correlated MIMO multiple access channels. Zbl 1365.94123
Couillet, Romain; Debbah, Mérouane; Silverstein, Jack W.
15
2011
On the weak limit of the largest eigenvalue of a large dimensional sample covariance matrix. Zbl 0692.60022
Silverstein, Jack W.
14
1989
Some limit theorems on the eigenvectors of large dimensional sample covariance matrices. Zbl 0553.60011
Silverstein, Jack W.
13
1984
No eigenvalues outside the support of the limiting spectral distribution of information-plus-noise type matrices. Zbl 1248.15028
Bai, Zhidong; Silverstein, Jack W.
13
2012
The spectral radii and norms of large dimensional non-central random matrices. Zbl 0806.15018
Silverstein, Jack W.
12
1994
The random matrix regime of Maronna’s M-estimator with elliptically distributed samples. Zbl 1320.62174
Couillet, Romain; Pascal, Frédéric; Silverstein, Jack W.
11
2015
A note on the CLT of the LSS for sample covariance matrix from a spiked population model. Zbl 1292.62085
Wang, Qinwen; Silverstein, Jack W.; Yao, Jian-feng
10
2014
Describing the behavior of eigenvectors of random matrices using sequences of measures on orthogonal groups. Zbl 0465.60017
Silverstein, Jack W.
9
1981
Eigen-inference for energy estimation of multiple sources. Zbl 1366.62107
Couillet, Romain; Silverstein, Jack W.; Bai, Zhidong; Debbah, Mérouane
7
2011
Robust estimates of covariance matrices in the large dimensional regime. Zbl 1360.62263
Couillet, Romain; Pascal, Frédéric; Silverstein, Jack W.
6
2014
On the signal-to-interference ratio of CDMA systems in wireless communications. Zbl 1133.94012
Bai, Z. D.; Silverstein, Jack W.
5
2007
The Stieltjes transform and its role in eigenvalue behavior of large dimensional random matrices. Zbl 1182.15022
Silverstein, Jack W.
5
2009
Comments on a result of Yin, Bai, and Krishnaiah for large dimensional multivariate F matrices. Zbl 0554.62018
Silverstein, Jack W.
4
1984
A CLT for information-theoretic statistics of non-centered Gram random matrices. Zbl 1262.15039
Hachem, Walid; Kharouf, Malika; Najim, Jamal; Silverstein, Jack W.
4
2012
On the randomness of eigenvectors generated from networks with random topologies. Zbl 0438.94041
Silverstein, Jack W.
4
1979
Eigenvalues and eigenvectors of large dimensional sample covariance matrices. Zbl 0586.60033
Silverstein, Jack W.
3
1986
Asymptotics applied to a neural network. Zbl 0325.92005
Silverstein, Jack W.
2
1976
Separation of the largest eigenvalues in eigenanalysis of genotype data from discrete subpopulations. Zbl 1302.92063
Bryc, Katarzyna; Bryc, Wlodek; Silverstein, Jack W.
1
2013
The random matrix regime of Maronna’s M-estimator with elliptically distributed samples. Zbl 1320.62174
Couillet, Romain; Pascal, Frédéric; Silverstein, Jack W.
11
2015
A note on the CLT of the LSS for sample covariance matrix from a spiked population model. Zbl 1292.62085
Wang, Qinwen; Silverstein, Jack W.; Yao, Jian-feng
10
2014
Robust estimates of covariance matrices in the large dimensional regime. Zbl 1360.62263
Couillet, Romain; Pascal, Frédéric; Silverstein, Jack W.
6
2014
Separation of the largest eigenvalues in eigenanalysis of genotype data from discrete subpopulations. Zbl 1302.92063
Bryc, Katarzyna; Bryc, Wlodek; Silverstein, Jack W.
1
2013
No eigenvalues outside the support of the limiting spectral distribution of information-plus-noise type matrices. Zbl 1248.15028
Bai, Zhidong; Silverstein, Jack W.
13
2012
A CLT for information-theoretic statistics of non-centered Gram random matrices. Zbl 1262.15039
Hachem, Walid; Kharouf, Malika; Najim, Jamal; Silverstein, Jack W.
4
2012
A deterministic equivalent for the analysis of correlated MIMO multiple access channels. Zbl 1365.94123
Couillet, Romain; Debbah, Mérouane; Silverstein, Jack W.
15
2011
Eigen-inference for energy estimation of multiple sources. Zbl 1366.62107
Couillet, Romain; Silverstein, Jack W.; Bai, Zhidong; Debbah, Mérouane
7
2011
Spectral analysis of large dimensional random matrices. 2nd ed. Zbl 1301.60002
Bai, Zhidong; Silverstein, Jack W.
302
2010
No eigenvalues outside the support of the limiting empirical spectral distribution of a separable covariance matrix. Zbl 1154.60320
Paul, Debashis; Silverstein, Jack W.
20
2009
The Stieltjes transform and its role in eigenvalue behavior of large dimensional random matrices. Zbl 1182.15022
Silverstein, Jack W.
5
2009
On the empirical distribution of eigenvalues of large dimensional information-plus-noise-type matrices. Zbl 1115.60035
Dozier, R. Brent; Silverstein, Jack W.
42
2007
Analysis of the limiting spectral distribution of large dimensional information-plus-noise type matrices. Zbl 1127.62015
Dozier, R. Brent; Silverstein, Jack W.
16
2007
On the signal-to-interference ratio of CDMA systems in wireless communications. Zbl 1133.94012
Bai, Z. D.; Silverstein, Jack W.
5
2007
Eigenvalues of large sample covariance matrices of spiked population models. Zbl 1220.15011
Baik, Jinho; Silverstein, Jack W.
137
2006
Spectral analysis of large dimensional random matrices. Zbl 1196.60002
Bai, Zhidong; Silverstein, Jack W.
77
2006
Gaussian fluctuations for non-Hermitian random matrix ensembles. Zbl 1122.15022
Rider, B.; Silverstein, Jack W.
18
2006
CLT for linear spectral statistics of large-dimensional sample covariance matrices. Zbl 1063.60022
Bai, Z. D.; Silverstein, Jack W.
142
2004
Methodologies in spectral analysis of large dimensional random matrices, a review. (With comments and rejoinder). Zbl 0949.60077
Bai, Z. D.
171
1999
Exact separation of eigenvalues of large dimensional sample covariance matrices. Zbl 0964.60041
Bai, Z. D.; Silverstein, Jack W.
32
1999
No eigenvalues outside the support of the limiting spectral distribution of large-dimensional sample covariance matrices. Zbl 0937.60017
Bai, Z. D.; Silverstein, Jack W.
117
1998
Strong convergence of the empirical distribution of eigenvalues of large dimensional random matrices. Zbl 0851.62015
Silverstein, Jack W.
112
1995
On the empirical distribution of eigenvalues of a class of large dimensional random matrices. Zbl 0833.60038
Silverstein, Jack W.; Bai, Z. D.
107
1995
Analysis of the limiting spectral distribution of large dimensional random matrices. Zbl 0872.60013
Silverstein, Jack W.; Choi, Sang-Il
78
1995
The spectral radii and norms of large dimensional non-central random matrices. Zbl 0806.15018
Silverstein, Jack W.
12
1994
Weak convergence of random functions defined by the eigenvectors of sample covariance matrices. Zbl 0708.62051
Silverstein, Jack W.
18
1990
On the eigenvectors of large dimensional sample covariance matrices. Zbl 0678.60011
Silverstein, Jack W.
16
1989
On the weak limit of the largest eigenvalue of a large dimensional sample covariance matrix. Zbl 0692.60022
Silverstein, Jack W.
14
1989
A note on the largest eigenvalue of a large dimensional sample covariance matrix. Zbl 0652.60040
Bai, Z. D.; Silverstein, Jack W.; Yin, Y. Q.
48
1988
Eigenvalues and eigenvectors of large dimensional sample covariance matrices. Zbl 0586.60033
Silverstein, Jack W.
3
1986
The smallest eigenvalue of a large dimensional Wishart matrix. Zbl 0591.60025
Silverstein, Jack W.
50
1985
The limiting eigenvalue distribution of a multivariate F matrix. Zbl 0606.62054
Silverstein, Jack W.
16
1985
Some limit theorems on the eigenvectors of large dimensional sample covariance matrices. Zbl 0553.60011
Silverstein, Jack W.
13
1984
Comments on a result of Yin, Bai, and Krishnaiah for large dimensional multivariate F matrices. Zbl 0554.62018
Silverstein, Jack W.
4
1984
Describing the behavior of eigenvectors of random matrices using sequences of measures on orthogonal groups. Zbl 0465.60017
Silverstein, Jack W.
9
1981
On the randomness of eigenvectors generated from networks with random topologies. Zbl 0438.94041
Silverstein, Jack W.
4
1979
Spectral analysis of networks with random topologies. Zbl 0355.94043
Grenander, Ulf; Silverstein, Jack W.
23
1977
Asymptotics applied to a neural network. Zbl 0325.92005
Silverstein, Jack W.
2
1976
all top 5

Cited by 799 Authors

53 Bai, Zhi-Dong
28 Pan, Guangming
22 Yao, Jianfeng
21 Silverstein, Jack W.
18 Zhou, Wang
17 Hu, Jiang
17 Zheng, Shurong
15 Vu, Van H.
14 Bose, Arup
12 Najim, Jamal
12 Péché, Sandrine
12 Tikhomirov, Alexander Nikolaevich
11 Aoshima, Makoto
11 Couillet, Romain
11 Götze, Friedrich W.
11 O’Rourke, Sean D.
11 Yata, Kazuyoshi
10 Benaych-Georges, Florent
10 Bodnar, Taras
10 Capitaine, Mireille
10 El Karoui, Noureddine
10 Erdős, László
10 Hachem, Walid
10 Jiang, Dandan
10 Tao, Terence
10 Yin, Yanqing
9 Bordenave, Charles
9 Chafaï, Djalil
9 Ledoit, Olivier
9 Paul, Debashis
8 Baik, Jinho
8 Ding, Xue
8 Dobriban, Edgar
8 Dumitriu, Ioana
8 Heiny, Johannes
8 Litvak, Aleksandr Evgen’evich
8 Loubaton, Philippe
8 Parolya, Nestor R.
8 Rudelson, Mark
8 Vershynin, Roman
8 Wolf, Michael
7 Bao, Zhigang
7 Ding, Xiucai
7 Edelman, Alan Stuart
7 Guionnet, Alice
7 Hazra, Rajat Subhra
7 Jiang, Tiefeng
7 Jin, Baisuo
7 Johnstone, Iain Murray
7 Krüger, Torben
7 Li, Weiming
7 Naumov, Alekseĭ Aleksandrovich
7 Saha, Koushik
7 Xie, Junshan
7 Yin, Jun
6 Dette, Holger
6 Lee, Ji Oon
6 Li, Huiqin
6 Liu, Baisen
6 Miao, Bai-qi
6 Mikosch, Thomas
6 Soshnikov, Alexander B.
6 Tikhomirov, Konstantin E.
6 Tomczak-Jaegermann, Nicole
6 Wang, Chen
6 Yin, Y.-Q.
5 Basak, Anirban
5 Chakrabarty, Arijit
5 Donati-Martin, Catherine
5 Féral, Delphine
5 Merlevède, Florence
5 Nechita, Ion
5 Onatski, Alexei
5 Renfrew, David
5 Wang, Shaochen
5 Xia, Ningning
4 Adamczak, Radosław
4 Adhikari, Kartick
4 Aue, Alexander
4 Banna, Marwa
4 Belinschi, Serban Teodor
4 Bhattacharjee, Monika
4 Chen, Jiaqi
4 Collins, Benoît
4 Forrester, Peter J.
4 Fujikoshi, Yasunori
4 Gupta, Arjun Kumar
4 Han, Xiao
4 Lytova, Anna
4 Marron, James Stephen
4 McKay, Matthew R.
4 Mingo, James A.
4 Nadler, Boaz
4 Nemish, Yuriĭ Nikolaevich
4 Paquette, Elliot
4 Passemier, Damien
4 Peligrad, Magda
4 Rider, Brian C.
4 Singer, Amit
4 Speicher, Roland
...and 699 more Authors
all top 5

Cited in 154 Serials

77 Journal of Multivariate Analysis
70 Random Matrices: Theory and Applications
69 The Annals of Statistics
38 Probability Theory and Related Fields
33 The Annals of Probability
27 Journal of Theoretical Probability
26 Statistics & Probability Letters
23 The Annals of Applied Probability
21 Journal of Statistical Physics
20 Journal of Mathematical Physics
18 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques
16 Bernoulli
11 Advances in Mathematics
11 Journal of Statistical Planning and Inference
11 Computational Statistics and Data Analysis
10 Communications in Mathematical Physics
10 Linear Algebra and its Applications
10 Stochastic Processes and their Applications
9 Electronic Journal of Probability
8 Communications in Statistics. Theory and Methods
8 Electronic Journal of Statistics
7 Communications on Pure and Applied Mathematics
7 Statistical Papers
7 Journal of Machine Learning Research (JMLR)
6 Journal of Mathematical Analysis and Applications
6 Journal of Econometrics
6 Journal of Functional Analysis
5 Theory of Probability and its Applications
5 Transactions of the American Mathematical Society
5 Journal of Mathematical Sciences (New York)
4 Indian Journal of Pure & Applied Mathematics
4 Sequential Analysis
4 Applied and Computational Harmonic Analysis
4 Econometric Theory
4 The Annals of Applied Statistics
4 Science China. Mathematics
3 Annals of the Institute of Statistical Mathematics
3 Geometric and Functional Analysis. GAFA
3 Journal of the European Mathematical Society (JEMS)
3 Annales Henri Poincaré
3 Quantitative Finance
3 Journal of the Korean Statistical Society
3 Journal of Physics A: Mathematical and Theoretical
2 Advances in Applied Probability
2 Biological Cybernetics
2 Metrika
2 Mathematics of Computation
2 Duke Mathematical Journal
2 Inventiones Mathematicae
2 Journal of the American Statistical Association
2 Journal of Applied Probability
2 Proceedings of the American Mathematical Society
2 Quarterly of Applied Mathematics
2 Statistics
2 Neural Networks
2 Random Structures & Algorithms
2 Communications in Statistics. Simulation and Computation
2 Test
2 Mathematical Methods of Statistics
2 Electronic Communications in Probability
2 The Journal of Fourier Analysis and Applications
2 Infinite Dimensional Analysis, Quantum Probability and Related Topics
2 Australian & New Zealand Journal of Statistics
2 Journal of the Royal Statistical Society. Series B. Statistical Methodology
2 Extremes
2 Communications in Contemporary Mathematics
2 Foundations of Computational Mathematics
2 Comptes Rendus. Mathématique. Académie des Sciences, Paris
2 Journal of Statistical Mechanics: Theory and Experiment
2 Oberwolfach Reports
2 ALEA. Latin American Journal of Probability and Mathematical Statistics
2 Probability Surveys
2 Sankhyā. Series A
1 Israel Journal of Mathematics
1 Journal of Fluid Mechanics
1 Lithuanian Mathematical Journal
1 Linear and Multilinear Algebra
1 Mathematical Biosciences
1 Mathematical Methods in the Applied Sciences
1 Nonlinearity
1 Physics Letters. A
1 Physics Reports
1 Psychometrika
1 Scandinavian Journal of Statistics
1 Ukrainian Mathematical Journal
1 Acta Mathematica
1 Automatica
1 Indiana University Mathematics Journal
1 Information Sciences
1 Journal of Approximation Theory
1 Journal of Combinatorial Theory. Series A
1 Journal für die Reine und Angewandte Mathematik
1 Journal of Soviet Mathematics
1 Mathematika
1 Michigan Mathematical Journal
1 SIAM Journal on Numerical Analysis
1 Theoretical Population Biology
1 Journal of Time Series Analysis
1 Probability and Mathematical Statistics
1 Physica D
...and 54 more Serials
all top 5

Cited in 42 Fields

520 Probability theory and stochastic processes (60-XX)
374 Statistics (62-XX)
370 Linear and multilinear algebra; matrix theory (15-XX)
58 Functional analysis (46-XX)
43 Numerical analysis (65-XX)
40 Combinatorics (05-XX)
40 Statistical mechanics, structure of matter (82-XX)
27 Information and communication theory, circuits (94-XX)
21 Computer science (68-XX)
18 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
17 Quantum theory (81-XX)
13 Operator theory (47-XX)
10 Operations research, mathematical programming (90-XX)
10 Biology and other natural sciences (92-XX)
8 Special functions (33-XX)
8 Dynamical systems and ergodic theory (37-XX)
5 Ordinary differential equations (34-XX)
5 Partial differential equations (35-XX)
4 Approximations and expansions (41-XX)
4 Harmonic analysis on Euclidean spaces (42-XX)
4 Convex and discrete geometry (52-XX)
3 General and overarching topics; collections (00-XX)
2 Number theory (11-XX)
2 Group theory and generalizations (20-XX)
2 Difference and functional equations (39-XX)
2 Integral transforms, operational calculus (44-XX)
2 Calculus of variations and optimal control; optimization (49-XX)
2 Global analysis, analysis on manifolds (58-XX)
2 Optics, electromagnetic theory (78-XX)
2 Relativity and gravitational theory (83-XX)
2 Systems theory; control (93-XX)
1 History and biography (01-XX)
1 Real functions (26-XX)
1 Measure and integration (28-XX)
1 Functions of a complex variable (30-XX)
1 Abstract harmonic analysis (43-XX)
1 Integral equations (45-XX)
1 Geometry (51-XX)
1 General topology (54-XX)
1 Fluid mechanics (76-XX)
1 Classical thermodynamics, heat transfer (80-XX)
1 Geophysics (86-XX)

Citations by Year