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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: 42 Publications since 1976, including 2 Books
1 Further Contribution
Co-Authors: 19 Co-Authors with 27 Joint Publications
551 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

38 Publications have been cited 1,680 times in 857 Documents Cited by Year
Spectral analysis of large dimensional random matrices. 2nd ed. Zbl 1301.60002
Bai, Zhidong; Silverstein, Jack W.
346
2010
Methodologies in spectral analysis of large dimensional random matrices, a review. (With comments and rejoinder). Zbl 0949.60077
Bai, Z. D.
183
1999
CLT for linear spectral statistics of large-dimensional sample covariance matrices. Zbl 1063.60022
Bai, Z. D.; Silverstein, Jack W.
164
2004
Eigenvalues of large sample covariance matrices of spiked population models. Zbl 1220.15011
Baik, Jinho; Silverstein, Jack W.
159
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.
128
1998
Strong convergence of the empirical distribution of eigenvalues of large dimensional random matrices. Zbl 0851.62015
Silverstein, Jack W.
124
1995
On the empirical distribution of eigenvalues of a class of large dimensional random matrices. Zbl 0833.60038
Silverstein, Jack W.; Bai, Z. D.
119
1995
Analysis of the limiting spectral distribution of large dimensional random matrices. Zbl 0872.60013
Silverstein, Jack W.; Choi, Sang-Il
86
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.
55
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.
52
1988
On the empirical distribution of eigenvalues of large dimensional information-plus-noise-type matrices. Zbl 1115.60035
Dozier, R. Brent; Silverstein, Jack W.
46
2007
Exact separation of eigenvalues of large dimensional sample covariance matrices. Zbl 0964.60041
Bai, Z. D.; Silverstein, Jack W.
37
1999
Spectral analysis of networks with random topologies. Zbl 0355.94043
Grenander, Ulf; Silverstein, Jack W.
26
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.
22
2009
Gaussian fluctuations for non-Hermitian random matrix ensembles. Zbl 1122.15022
Rider, B.; Silverstein, Jack W.
20
2006
Weak convergence of random functions defined by the eigenvectors of sample covariance matrices. Zbl 0708.62051
Silverstein, Jack W.
20
1990
On the eigenvectors of large dimensional sample covariance matrices. Zbl 0678.60011
Silverstein, Jack W.
18
1989
Analysis of the limiting spectral distribution of large dimensional information-plus-noise type matrices. Zbl 1127.62015
Dozier, R. Brent; Silverstein, Jack W.
17
2007
The limiting eigenvalue distribution of a multivariate F matrix. Zbl 0606.62054
Silverstein, Jack W.
16
1985
A deterministic equivalent for the analysis of correlated MIMO multiple access channels. Zbl 1365.94123
Couillet, Romain; Debbah, Mérouane; Silverstein, Jack W.
15
2011
No eigenvalues outside the support of the limiting spectral distribution of information-plus-noise type matrices. Zbl 1248.15028
Bai, Zhidong; Silverstein, Jack W.
15
2012
On the weak limit of the largest eigenvalue of a large dimensional sample covariance matrix. Zbl 0692.60022
Silverstein, Jack W.
15
1989
Some limit theorems on the eigenvectors of large dimensional sample covariance matrices. Zbl 0553.60011
Silverstein, Jack W.
14
1984
The spectral radii and norms of large dimensional non-central random matrices. Zbl 0806.15018
Silverstein, Jack W.
13
1994
The random matrix regime of Maronna’s M-estimator with elliptically distributed samples. Zbl 1320.62174
Couillet, Romain; Pascal, Frédéric; Silverstein, Jack W.
12
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.
10
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.
7
2014
The Stieltjes transform and its role in eigenvalue behavior of large dimensional random matrices. Zbl 1182.15022
Silverstein, Jack W.
6
2009
On the randomness of eigenvectors generated from networks with random topologies. Zbl 0438.94041
Silverstein, Jack W.
5
1979
On the signal-to-interference ratio of CDMA systems in wireless communications. Zbl 1133.94012
Bai, Z. D.; Silverstein, Jack W.
5
2007
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
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.
12
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.
7
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.
15
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.
346
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.
22
2009
The Stieltjes transform and its role in eigenvalue behavior of large dimensional random matrices. Zbl 1182.15022
Silverstein, Jack W.
6
2009
On the empirical distribution of eigenvalues of large dimensional information-plus-noise-type matrices. Zbl 1115.60035
Dozier, R. Brent; Silverstein, Jack W.
46
2007
Analysis of the limiting spectral distribution of large dimensional information-plus-noise type matrices. Zbl 1127.62015
Dozier, R. Brent; Silverstein, Jack W.
17
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.
159
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.
20
2006
CLT for linear spectral statistics of large-dimensional sample covariance matrices. Zbl 1063.60022
Bai, Z. D.; Silverstein, Jack W.
164
2004
Methodologies in spectral analysis of large dimensional random matrices, a review. (With comments and rejoinder). Zbl 0949.60077
Bai, Z. D.
183
1999
Exact separation of eigenvalues of large dimensional sample covariance matrices. Zbl 0964.60041
Bai, Z. D.; Silverstein, Jack W.
37
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.
128
1998
Strong convergence of the empirical distribution of eigenvalues of large dimensional random matrices. Zbl 0851.62015
Silverstein, Jack W.
124
1995
On the empirical distribution of eigenvalues of a class of large dimensional random matrices. Zbl 0833.60038
Silverstein, Jack W.; Bai, Z. D.
119
1995
Analysis of the limiting spectral distribution of large dimensional random matrices. Zbl 0872.60013
Silverstein, Jack W.; Choi, Sang-Il
86
1995
The spectral radii and norms of large dimensional non-central random matrices. Zbl 0806.15018
Silverstein, Jack W.
13
1994
Weak convergence of random functions defined by the eigenvectors of sample covariance matrices. Zbl 0708.62051
Silverstein, Jack W.
20
1990
On the eigenvectors of large dimensional sample covariance matrices. Zbl 0678.60011
Silverstein, Jack W.
18
1989
On the weak limit of the largest eigenvalue of a large dimensional sample covariance matrix. Zbl 0692.60022
Silverstein, Jack W.
15
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.
52
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.
55
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.
14
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.
10
1981
On the randomness of eigenvectors generated from networks with random topologies. Zbl 0438.94041
Silverstein, Jack W.
5
1979
Spectral analysis of networks with random topologies. Zbl 0355.94043
Grenander, Ulf; Silverstein, Jack W.
26
1977
Asymptotics applied to a neural network. Zbl 0325.92005
Silverstein, Jack W.
2
1976
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Cited by 912 Authors

56 Bai, Zhi-Dong
29 Pan, Guangming
26 Yao, Jianfeng
22 Silverstein, Jack W.
22 Zheng, Shurong
20 Hu, Jiang
19 Zhou, Wang
17 Vũ Hà Văn
15 Bose, Arup
13 Najim, Jamal
13 Péché, Sandrine
13 Yin, Yanqing
12 Tikhomirov, Alexander Nikolaevich
11 Aoshima, Makoto
11 Bodnar, Taras
11 Couillet, Romain
11 Erdős, László
11 Götze, Friedrich
11 O’Rourke, Sean D.
11 Yata, Kazuyoshi
10 Benaych-Georges, Florent
10 Bordenave, Charles
10 Capitaine, Mireille
10 Chafaï, Djalil
10 El Karoui, Noureddine
10 Hachem, Walid
10 Jiang, Dandan
10 Ledoit, Olivier
10 Li, Weiming
10 Tao, Terence
9 Bao, Zhigang
9 Ding, Xiucai
9 Heiny, Johannes
9 Paul, Debashis
9 Wolf, Michael
8 Baik, Jinho
8 Ding, Xue
8 Dobriban, Edgar
8 Dumitriu, Ioana
8 Hazra, Rajat Subhra
8 Jiang, Tiefeng
8 Johnstone, Iain Murray
8 Litvak, Aleksandr Evgen’evich
8 Loubaton, Philippe
8 Lytova, Anna
8 Parolya, Nestor R.
8 Rudelson, Mark
8 Saha, Koushik
8 Vershynin, Roman
8 Xie, Junshan
7 Edelman, Alan Stuart
7 Guionnet, Alice
7 Jin, Baisuo
7 Krüger, Torben
7 Naumov, Alekseĭ Aleksandrovich
7 Pastur, Leonid Andreevich
7 Wang, Chen
7 Xia, Ningning
7 Yin, Jun
6 Dette, Holger
6 Lee, Ji Oon
6 Li, Huiqin
6 Liu, Baisen
6 Miao, Bai-qi
6 Mikosch, Thomas
6 Nechita, Ion
6 Onatski, Alexei
6 Soshnikov, Alexander B.
6 Tikhomirov, Konstantin E.
6 Tomczak-Jaegermann, Nicole
6 Yin, Y.-Q.
5 Basak, Anirban
5 Chakrabarty, Arijit
5 Chen, Jiaqi
5 Collins, Benoît
5 Donati-Martin, Catherine
5 Féral, Delphine
5 Fujikoshi, Yasunori
5 Merlevède, Florence
5 Renfrew, David
5 Wang, Cheng
5 Wang, Qinwen
5 Wang, Shaochen
5 Yang, Fan
4 Adamczak, Radosław
4 Adhikari, Kartick
4 Aue, Alexander
4 Banna, Marwa
4 Belinschi, Serban Teodor
4 Bhattacharjee, Monika
4 Cai, Tony Tony
4 Fan, Zhou
4 Forrester, Peter J.
4 Gupta, Arjun Kumar
4 Han, Xiao
4 Jain, Vishesh
4 Jana, Indrajit
4 Lam, Clifford
4 Marron, James Stephen
4 McKay, Matthew R.
...and 812 more Authors
all top 5

Cited in 167 Serials

85 Journal of Multivariate Analysis
78 Random Matrices: Theory and Applications
76 The Annals of Statistics
40 Probability Theory and Related Fields
33 The Annals of Probability
28 Statistics & Probability Letters
28 Journal of Theoretical Probability
26 The Annals of Applied Probability
24 Journal of Statistical Physics
24 Bernoulli
20 Journal of Mathematical Physics
19 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques
15 Electronic Journal of Probability
12 Computational Statistics and Data Analysis
11 Advances in Mathematics
11 Journal of Statistical Planning and Inference
11 Communications in Statistics. Theory and Methods
11 Linear Algebra and its Applications
11 Stochastic Processes and their Applications
10 Communications in Mathematical Physics
9 Statistical Papers
8 Electronic Journal of Statistics
7 Communications on Pure and Applied Mathematics
7 Journal of Machine Learning Research (JMLR)
6 Journal of Mathematical Analysis and Applications
6 Journal of Econometrics
6 Journal of Functional Analysis
6 Statistica Sinica
5 Theory of Probability and its Applications
5 Transactions of the American Mathematical Society
5 Journal of Mathematical Sciences (New York)
5 Econometric Theory
4 Indian Journal of Pure & Applied Mathematics
4 Sequential Analysis
4 Applied and Computational Harmonic Analysis
4 The Annals of Applied Statistics
4 Science China. Mathematics
3 Annals of the Institute of Statistical Mathematics
3 Proceedings of the American Mathematical Society
3 Geometric and Functional Analysis. GAFA
3 Communications in Statistics. Simulation and Computation
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 Psychometrika
2 Mathematics of Computation
2 Duke Mathematical Journal
2 Inventiones Mathematicae
2 Journal of the American Statistical Association
2 Journal of Applied Probability
2 Quarterly of Applied Mathematics
2 Acta Mathematicae Applicatae Sinica. English Series
2 Statistics
2 Statistical Science
2 Neural Networks
2 Random Structures & Algorithms
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 SIAM Journal on Financial Mathematics
2 Probability Surveys
2 Sankhyā. Series A
2 SIAM Journal on Mathematics of Data Science
1 Israel Journal of Mathematics
1 Journal d’Analyse Mathématique
1 Journal of Fluid Mechanics
1 Journal of Mathematical Biology
1 Lithuanian Mathematical Journal
1 Linear and Multilinear Algebra
1 Mathematical Biosciences
1 Mathematical Methods in the Applied Sciences
1 Nonlinearity
1 Periodica Mathematica Hungarica
1 Physics Letters. A
1 Physics Reports
1 Scandinavian Journal of Statistics
1 Ukrainian Mathematical Journal
1 Acta Mathematica
1 Applied Mathematics and Computation
1 Automatica
1 Indiana University Mathematics Journal
1 Information Sciences
1 Journal of Approximation Theory
1 Journal of Combinatorial Theory. Series A
...and 67 more Serials
all top 5

Cited in 42 Fields

569 Probability theory and stochastic processes (60-XX)
426 Statistics (62-XX)
398 Linear and multilinear algebra; matrix theory (15-XX)
62 Functional analysis (46-XX)
44 Numerical analysis (65-XX)
43 Combinatorics (05-XX)
41 Statistical mechanics, structure of matter (82-XX)
30 Information and communication theory, circuits (94-XX)
23 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
21 Computer science (68-XX)
18 Quantum theory (81-XX)
14 Operator theory (47-XX)
12 Operations research, mathematical programming (90-XX)
12 Biology and other natural sciences (92-XX)
11 Dynamical systems and ergodic theory (37-XX)
8 Special functions (33-XX)
7 Partial differential equations (35-XX)
5 Ordinary differential equations (34-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 Functions of a complex variable (30-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 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