Edit Profile (opens in new tab) Silverstein, Jack W. Compute Distance To: Compute Author ID: 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 all top 5 Co-Authors 16 single-authored 12 Bai, Zhi-Dong 4 Couillet, Romain 2 Bryc, Włodzimierz 2 Debbah, Mérouane 2 Dozier, R. Brent 2 Pascal, Frédéric P. 1 Baik, Jinho 1 Bryc, Katarzyna 1 Campbell, Stephen LaVern 1 Choi, Sang-Il 1 Grenander, Ulf 1 Hachem, Walid 1 Kharouf, Malika 1 Najim, Jamal 1 Paul, Debashis 1 Rider, Brian C. 1 Rodgers, G. W. 1 Wang, Qinwen 1 Yao, Jianfeng 1 Yin, Y.-Q. all top 5 Serials 15 Journal of Multivariate Analysis 6 The Annals of Probability 4 Random Matrices: Theory and Applications 3 IEEE Transactions on Information Theory 2 SIAM Journal on Applied Mathematics 2 SIAM Journal on Mathematical Analysis 1 Applicable Analysis 1 Biological Cybernetics 1 Theoretical Population Biology 1 Communications in Statistics. Stochastic Models 1 The Annals of Applied Probability 1 Statistica Sinica 1 Mathematics Monograph Series 1 Springer Series in Statistics all top 5 Fields 34 Probability theory and stochastic processes (60-XX) 24 Statistics (62-XX) 20 Linear and multilinear algebra; matrix theory (15-XX) 8 Information and communication theory, circuits (94-XX) 5 Biology and other natural sciences (92-XX) 2 History and biography (01-XX) 1 Real functions (26-XX) 1 Measure and integration (28-XX) 1 Ordinary differential equations (34-XX) 1 Difference and functional equations (39-XX) 1 Integral transforms, operational calculus (44-XX) 1 Integral equations (45-XX) 1 Operator theory (47-XX) Publications by Year all cited Publications top 5 cited Publications 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 1301.60002Bai, Zhidong; Silverstein, Jack W. 346 2010 Methodologies in spectral analysis of large dimensional random matrices, a review. (With comments and rejoinder). Zbl 0949.60077Bai, Z. D. 183 1999 CLT for linear spectral statistics of large-dimensional sample covariance matrices. Zbl 1063.60022Bai, Z. D.; Silverstein, Jack W. 164 2004 Eigenvalues of large sample covariance matrices of spiked population models. Zbl 1220.15011Baik, Jinho; Silverstein, Jack W. 159 2006 No eigenvalues outside the support of the limiting spectral distribution of large-dimensional sample covariance matrices. Zbl 0937.60017Bai, Z. D.; Silverstein, Jack W. 128 1998 Strong convergence of the empirical distribution of eigenvalues of large dimensional random matrices. Zbl 0851.62015Silverstein, Jack W. 124 1995 On the empirical distribution of eigenvalues of a class of large dimensional random matrices. Zbl 0833.60038Silverstein, Jack W.; Bai, Z. D. 119 1995 Analysis of the limiting spectral distribution of large dimensional random matrices. Zbl 0872.60013Silverstein, Jack W.; Choi, Sang-Il 86 1995 Spectral analysis of large dimensional random matrices. Zbl 1196.60002Bai, Zhidong; Silverstein, Jack W. 77 2006 The smallest eigenvalue of a large dimensional Wishart matrix. Zbl 0591.60025Silverstein, Jack W. 55 1985 A note on the largest eigenvalue of a large dimensional sample covariance matrix. Zbl 0652.60040Bai, 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 1115.60035Dozier, R. Brent; Silverstein, Jack W. 46 2007 Exact separation of eigenvalues of large dimensional sample covariance matrices. Zbl 0964.60041Bai, Z. D.; Silverstein, Jack W. 37 1999 Spectral analysis of networks with random topologies. Zbl 0355.94043Grenander, Ulf; Silverstein, Jack W. 26 1977 No eigenvalues outside the support of the limiting empirical spectral distribution of a separable covariance matrix. Zbl 1154.60320Paul, Debashis; Silverstein, Jack W. 22 2009 Gaussian fluctuations for non-Hermitian random matrix ensembles. Zbl 1122.15022Rider, B.; Silverstein, Jack W. 20 2006 Weak convergence of random functions defined by the eigenvectors of sample covariance matrices. Zbl 0708.62051Silverstein, Jack W. 20 1990 On the eigenvectors of large dimensional sample covariance matrices. Zbl 0678.60011Silverstein, Jack W. 18 1989 Analysis of the limiting spectral distribution of large dimensional information-plus-noise type matrices. Zbl 1127.62015Dozier, R. Brent; Silverstein, Jack W. 17 2007 The limiting eigenvalue distribution of a multivariate F matrix. Zbl 0606.62054Silverstein, Jack W. 16 1985 A deterministic equivalent for the analysis of correlated MIMO multiple access channels. Zbl 1365.94123Couillet, 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 1248.15028Bai, Zhidong; Silverstein, Jack W. 15 2012 On the weak limit of the largest eigenvalue of a large dimensional sample covariance matrix. Zbl 0692.60022Silverstein, Jack W. 15 1989 Some limit theorems on the eigenvectors of large dimensional sample covariance matrices. Zbl 0553.60011Silverstein, Jack W. 14 1984 The spectral radii and norms of large dimensional non-central random matrices. Zbl 0806.15018Silverstein, Jack W. 13 1994 The random matrix regime of Maronna’s M-estimator with elliptically distributed samples. Zbl 1320.62174Couillet, 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 1292.62085Wang, 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 0465.60017Silverstein, Jack W. 10 1981 Eigen-inference for energy estimation of multiple sources. Zbl 1366.62107Couillet, Romain; Silverstein, Jack W.; Bai, Zhidong; Debbah, Mérouane 7 2011 Robust estimates of covariance matrices in the large dimensional regime. Zbl 1360.62263Couillet, Romain; Pascal, Frédéric; Silverstein, Jack W. 7 2014 The Stieltjes transform and its role in eigenvalue behavior of large dimensional random matrices. Zbl 1182.15022Silverstein, Jack W. 6 2009 On the randomness of eigenvectors generated from networks with random topologies. Zbl 0438.94041Silverstein, Jack W. 5 1979 On the signal-to-interference ratio of CDMA systems in wireless communications. Zbl 1133.94012Bai, Z. D.; Silverstein, Jack W. 5 2007 Comments on a result of Yin, Bai, and Krishnaiah for large dimensional multivariate F matrices. Zbl 0554.62018Silverstein, Jack W. 4 1984 A CLT for information-theoretic statistics of non-centered Gram random matrices. Zbl 1262.15039Hachem, Walid; Kharouf, Malika; Najim, Jamal; Silverstein, Jack W. 4 2012 Eigenvalues and eigenvectors of large dimensional sample covariance matrices. Zbl 0586.60033Silverstein, Jack W. 3 1986 Asymptotics applied to a neural network. Zbl 0325.92005Silverstein, Jack W. 2 1976 Separation of the largest eigenvalues in eigenanalysis of genotype data from discrete subpopulations. Zbl 1302.92063Bryc, Katarzyna; Bryc, Wlodek; Silverstein, Jack W. 1 2013 The random matrix regime of Maronna’s M-estimator with elliptically distributed samples. Zbl 1320.62174Couillet, 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 1292.62085Wang, Qinwen; Silverstein, Jack W.; Yao, Jian-feng 10 2014 Robust estimates of covariance matrices in the large dimensional regime. Zbl 1360.62263Couillet, Romain; Pascal, Frédéric; Silverstein, Jack W. 7 2014 Separation of the largest eigenvalues in eigenanalysis of genotype data from discrete subpopulations. Zbl 1302.92063Bryc, 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 1248.15028Bai, Zhidong; Silverstein, Jack W. 15 2012 A CLT for information-theoretic statistics of non-centered Gram random matrices. Zbl 1262.15039Hachem, Walid; Kharouf, Malika; Najim, Jamal; Silverstein, Jack W. 4 2012 A deterministic equivalent for the analysis of correlated MIMO multiple access channels. Zbl 1365.94123Couillet, Romain; Debbah, Mérouane; Silverstein, Jack W. 15 2011 Eigen-inference for energy estimation of multiple sources. Zbl 1366.62107Couillet, Romain; Silverstein, Jack W.; Bai, Zhidong; Debbah, Mérouane 7 2011 Spectral analysis of large dimensional random matrices. 2nd ed. Zbl 1301.60002Bai, Zhidong; Silverstein, Jack W. 346 2010 No eigenvalues outside the support of the limiting empirical spectral distribution of a separable covariance matrix. Zbl 1154.60320Paul, Debashis; Silverstein, Jack W. 22 2009 The Stieltjes transform and its role in eigenvalue behavior of large dimensional random matrices. Zbl 1182.15022Silverstein, Jack W. 6 2009 On the empirical distribution of eigenvalues of large dimensional information-plus-noise-type matrices. Zbl 1115.60035Dozier, R. Brent; Silverstein, Jack W. 46 2007 Analysis of the limiting spectral distribution of large dimensional information-plus-noise type matrices. Zbl 1127.62015Dozier, R. Brent; Silverstein, Jack W. 17 2007 On the signal-to-interference ratio of CDMA systems in wireless communications. Zbl 1133.94012Bai, Z. D.; Silverstein, Jack W. 5 2007 Eigenvalues of large sample covariance matrices of spiked population models. Zbl 1220.15011Baik, Jinho; Silverstein, Jack W. 159 2006 Spectral analysis of large dimensional random matrices. Zbl 1196.60002Bai, Zhidong; Silverstein, Jack W. 77 2006 Gaussian fluctuations for non-Hermitian random matrix ensembles. Zbl 1122.15022Rider, B.; Silverstein, Jack W. 20 2006 CLT for linear spectral statistics of large-dimensional sample covariance matrices. Zbl 1063.60022Bai, Z. D.; Silverstein, Jack W. 164 2004 Methodologies in spectral analysis of large dimensional random matrices, a review. (With comments and rejoinder). Zbl 0949.60077Bai, Z. D. 183 1999 Exact separation of eigenvalues of large dimensional sample covariance matrices. Zbl 0964.60041Bai, Z. D.; Silverstein, Jack W. 37 1999 No eigenvalues outside the support of the limiting spectral distribution of large-dimensional sample covariance matrices. Zbl 0937.60017Bai, Z. D.; Silverstein, Jack W. 128 1998 Strong convergence of the empirical distribution of eigenvalues of large dimensional random matrices. Zbl 0851.62015Silverstein, Jack W. 124 1995 On the empirical distribution of eigenvalues of a class of large dimensional random matrices. Zbl 0833.60038Silverstein, Jack W.; Bai, Z. D. 119 1995 Analysis of the limiting spectral distribution of large dimensional random matrices. Zbl 0872.60013Silverstein, Jack W.; Choi, Sang-Il 86 1995 The spectral radii and norms of large dimensional non-central random matrices. Zbl 0806.15018Silverstein, Jack W. 13 1994 Weak convergence of random functions defined by the eigenvectors of sample covariance matrices. Zbl 0708.62051Silverstein, Jack W. 20 1990 On the eigenvectors of large dimensional sample covariance matrices. Zbl 0678.60011Silverstein, Jack W. 18 1989 On the weak limit of the largest eigenvalue of a large dimensional sample covariance matrix. Zbl 0692.60022Silverstein, Jack W. 15 1989 A note on the largest eigenvalue of a large dimensional sample covariance matrix. Zbl 0652.60040Bai, Z. D.; Silverstein, Jack W.; Yin, Y. Q. 52 1988 Eigenvalues and eigenvectors of large dimensional sample covariance matrices. Zbl 0586.60033Silverstein, Jack W. 3 1986 The smallest eigenvalue of a large dimensional Wishart matrix. Zbl 0591.60025Silverstein, Jack W. 55 1985 The limiting eigenvalue distribution of a multivariate F matrix. Zbl 0606.62054Silverstein, Jack W. 16 1985 Some limit theorems on the eigenvectors of large dimensional sample covariance matrices. Zbl 0553.60011Silverstein, Jack W. 14 1984 Comments on a result of Yin, Bai, and Krishnaiah for large dimensional multivariate F matrices. Zbl 0554.62018Silverstein, Jack W. 4 1984 Describing the behavior of eigenvectors of random matrices using sequences of measures on orthogonal groups. Zbl 0465.60017Silverstein, Jack W. 10 1981 On the randomness of eigenvectors generated from networks with random topologies. Zbl 0438.94041Silverstein, Jack W. 5 1979 Spectral analysis of networks with random topologies. Zbl 0355.94043Grenander, Ulf; Silverstein, Jack W. 26 1977 Asymptotics applied to a neural network. Zbl 0325.92005Silverstein, Jack W. 2 1976 all cited Publications top 5 cited Publications all top 5 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