Works (39)

2019 journal article

Singular values of large non-central random matrices

Random Matrices: Theory and Applications, 6, 2050012.

By: W. Bryc & J. Silverstein

Sources: Crossref, ORCID
Added: July 6, 2020

2015 journal article

The random matrix regime of Maronna's M-estimator with elliptically distributed samples

Journal of Multivariate Analysis, 139, 56–78.

By: R. Couillet, F. Pascal & J. Silverstein

Sources: NC State University Libraries, ORCID
Added: August 6, 2018

2014 journal article

A note on the CLT of the LSS for sample covariance matrix from a spiked population model

Journal of Multivariate Analysis, 130, 194–207.

By: Q. Wang, J. Silverstein & J. Yao

Sources: NC State University Libraries, ORCID
Added: August 6, 2018

2014 journal article

Robust estimates of covariance matrices in the large dimensional regime

IEEE Transactions on Information Theory, 60(11), 7269–7278.

By: R. Couillet, F. Pascal & J. Silverstein

Sources: NC State University Libraries, ORCID
Added: August 6, 2018

2013 conference paper

A joint robust estimation and random matrix framework with application to array processing

2013 IEEE International Conference on Acoustics, Speech and Signal Processing. Presented at the ICASSP 2013 - 2013 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP).

By: R. Couillet, F. Pascal & J. Silverstein

Event: ICASSP 2013 - 2013 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP)

Sources: Crossref, ORCID
Added: August 24, 2020

2013 journal article

Separation of the largest eigenvalues in eigenanalysis of genotype data from discrete subpopulations

Theoretical Population Biology, 89, 34–43.

By: K. Bryc, W. Bryc & J. Silverstein

Sources: NC State University Libraries, ORCID
Added: August 6, 2018

2012 journal article

A CLT FOR INFORMATION-THEORETIC STATISTICS OF NON-CENTERED GRAM RANDOM MATRICES

Random Matrices: Theory and Applications, 01(02), 1150010.

By: W. Hachem, M. Kharouf, J. Najim & J. Silverstein

Sources: Crossref, ORCID
Added: August 24, 2020

2012 journal article

NO EIGENVALUES OUTSIDE THE SUPPORT OF THE LIMITING SPECTRAL DISTRIBUTION OF INFORMATION-PLUS-NOISE TYPE MATRICES

Random Matrices: Theory and Applications, 01(01), 1150004.

By: Z. Bai & J. Silverstein

Sources: Crossref, ORCID
Added: August 24, 2020

2011 journal article

A Deterministic Equivalent for the Analysis of Correlated MIMO Multiple Access Channels

IEEE Transactions on Information Theory, 57(6), 3493–3514.

By: R. Couillet, M. Debbah & J. Silverstein

Sources: NC State University Libraries, ORCID, Crossref
Added: August 6, 2018

2011 conference paper

Eigen-inference for energy estimation of multiple sources

IEEE Transactions on Information Theory, 57(4), 2420–2439.

By: R. Couillet, J. Silverstein, Z. Bai & M. Debbah

Sources: NC State University Libraries, ORCID
Added: August 6, 2018

2011 chapter

Random Matrix Theory

In International Encyclopedia of Statistical Science (pp. 1168–1170).

By: J. Silverstein

Sources: Crossref, ORCID
Added: August 24, 2020

2010 conference paper

Eigen-inference for multi-source power estimation

2010 IEEE International Symposium on Information Theory. Presented at the 2010 IEEE International Symposium on Information Theory - ISIT.

By: R. Couillet, J. Silverstein & M. Debbah

Event: 2010 IEEE International Symposium on Information Theory - ISIT

Sources: Crossref, ORCID
Added: August 24, 2020

2010 journal article

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, (3), 468–480.

By: R. Nadakuditi & J. Silverstein

Sources: NC State University Libraries, ORCID
Added: August 6, 2018

2009 conference paper

Asymptotic capacity of multi-user MIMO communications

2009 IEEE Information Theory Workshop. Presented at the 2009 IEEE Information Theory Workshop (ITW 2009).

By: R. Couillet, M. Debbah & J. Silverstein

Event: 2009 IEEE Information Theory Workshop (ITW 2009)

Sources: Crossref, ORCID
Added: August 24, 2020

2009 journal article

No eigenvalues outside the support of the limiting empirical spectral distribution of a separable covariance matrix

Journal of Multivariate Analysis, 100(1), 37–57.

By: D. Paul & J. Silverstein

Sources: NC State University Libraries, ORCID
Added: August 6, 2018

2009 conference paper

Rate region of correlated MIMO multiple access channels and broadcast channels

2009 IEEE/SP 15th Workshop on Statistical Signal Processing. Presented at the 2009 IEEE/SP 15th Workshop on Statistical Signal Processing (SSP).

By: R. Couillet, M. Debbah & J. Silverstein

Event: 2009 IEEE/SP 15th Workshop on Statistical Signal Processing (SSP)

Sources: Crossref, ORCID
Added: August 24, 2020

2009 chapter

THE STIELTJES TRANSFORM AND ITS ROLE IN EIGENVALUE BEHAVIOR OF LARGE DIMENSIONAL RANDOM MATRICES

In Random Matrix Theory and Its Applications (pp. 1–25).

By: J. Silverstein

Sources: Crossref, ORCID
Added: August 24, 2020

2007 journal article

Analysis of the limiting spectral distribution of large dimensional information-plus-noise type matrices

Journal of Multivariate Analysis, 98(6), 1099–1122.

By: R. Dozier & J. Silverstein

Sources: NC State University Libraries, ORCID
Added: August 6, 2018

2007 conference paper

Fundamental Limit of Sample Eigenvalue based Detection of Signals in Colored Noise using Relatively Few Samples

2007 Conference Record of the Forty-First Asilomar Conference on Signals, Systems and Computers. Presented at the 2007 41st Asilomar conference on Signals, Systems and Computers (ACSSC).

By: R. Nadakuditi & J. Silverstein

Event: 2007 41st Asilomar conference on Signals, Systems and Computers (ACSSC)

Sources: Crossref, ORCID
Added: August 25, 2020

2007 journal article

On the empirical distribution of eigenvalues of large dimensional information-plus-noise-type matrices

Journal of Multivariate Analysis, 98(4), 678–694.

By: R. Dozier & J. Silverstein

Sources: NC State University Libraries, ORCID
Added: August 6, 2018

2007 journal article

On the signal-to-interference ratio of CDMA systems in wireless communications

Annals of Applied Probability, 17(1), 81–101.

By: Z. Bai & J. Silverstein

Sources: NC State University Libraries, ORCID
Added: August 6, 2018

2006 journal article

Eigenvalues of large sample covariance matrices of spiked population models

Journal of Multivariate Analysis, 97(6), 1382–1408.

By: J. Baik & J. Silverstein

Sources: NC State University Libraries, ORCID
Added: August 6, 2018

2006 journal article

Gaussian fluctuations for non-Hermitian random matrix ensembles

Annals of Probability, 34(6), 2118–2143.

By: B. Rider & J. Silverstein

Sources: NC State University Libraries, ORCID
Added: August 6, 2018

2006 conference paper

Theory of Large Dimensional Random Matrices for Engineers

2006 IEEE Ninth International Symposium on Spread Spectrum Techniques and Applications. Presented at the 2006 IEEE Ninth International Symposium on Spread Spectrum Techniques and Applications.

By: J. Silverstein & A. Tulino

Event: 2006 IEEE Ninth International Symposium on Spread Spectrum Techniques and Applications

Sources: Crossref, ORCID
Added: August 25, 2020

2004 journal article

CLT for linear spectral statistics of large-dimensional sample covariance matrices

Annals of Probability, 32(1A), 553–605.

By: Z. Bai & J. Silverstein

Source: NC State University Libraries
Added: August 6, 2018

1999 journal article

Exact separation of eigenvalues of large dimensional sample covariance matrices

Annals of Probability, 27(3), 1536–1555.

By: Z. Bai & J. Silverstein

Source: NC State University Libraries
Added: August 6, 2018

1999 journal article

Methodologies in spectral analysis of large dimensional random matrices, a review - Comment: Complements and new developments

Statistica Sinica, 9(3), 667–671.

By: J. Silverstein

Source: NC State University Libraries
Added: August 6, 2018

1998 journal article

No eigenvalues outside the support of the limiting spectral distribution of large-dimensional sample covariance matrices

Annals of Probability, 26(1), 316–345.

By: Z. Bai & J. Silverstein

Sources: NC State University Libraries, ORCID
Added: August 6, 2018

1995 journal article

Analysis of the Limiting Spectral Distribution of Large Dimensional Random Matrices

Journal of Multivariate Analysis, 54(2), 295–309.

By: J. Silverstein & S. Choi

Sources: Crossref, ORCID
Added: August 25, 2020

1995 journal article

On the Empirical Distribution of Eigenvalues of a Class of Large Dimensional Random Matrices

Journal of Multivariate Analysis, 54(2), 175–192.

By: J. Silverstein & Z. Bai

Sources: Crossref, ORCID
Added: August 25, 2020

1995 journal article

Strong Convergence of the Empirical Distribution of Eigenvalues of Large Dimensional Random Matrices

Journal of Multivariate Analysis, 55(2), 331–339.

By: J. Silverstein

Sources: Crossref, ORCID
Added: August 25, 2020

1994 journal article

The spectral radii and norms of large dimensional non-central random matrices

Communications in Statistics. Stochastic Models, 10(3), 525–532.

By: J. Silverstein

Sources: Crossref, ORCID
Added: August 25, 2020

1992 conference paper

Large dimensional random matrix theory for signal detection and estimation in array processing

[1992] IEEE Sixth SP Workshop on Statistical Signal and Array Processing. Presented at the [1992] IEEE Sixth SP Workshop on Statistical Signal and Array Processing.

By: J. Silverstein & P. Combettes

Event: [1992] IEEE Sixth SP Workshop on Statistical Signal and Array Processing

Sources: Crossref, ORCID
Added: August 25, 2020

1992 journal article

Signal detection via spectral theory of large dimensional random matrices

IEEE Transactions on Signal Processing, 40(8), 2100–2105.

By: J. Silverstein & P. Combettes

Sources: Crossref, ORCID
Added: August 25, 2020

1990 journal article

Weak Convergence of Random Functions Defined by The Eigenvectors of Sample Covariance Matrices

The Annals of Probability, 18(3), 1174–1194.

By: J. Silverstein

Sources: Crossref, ORCID
Added: August 25, 2020

1989 journal article

On the eigenvectors of large dimensional sample covariance matrices

Journal of Multivariate Analysis, 30(1), 1–16.

By: J. Silverstein

Sources: Crossref, ORCID
Added: August 25, 2020

1978 report

Public key cryptosystems: an elementary overview

In Confidentiality in Surveys (Report No. 29). Stockholm, Sweden: Department of Statistics, University of Stockholm.

By: T. Dalenius & J. Silverstein

Source: NC State University Libraries
Added: August 25, 2020

report

Comments on ‘A Unitary Transformation Method for Angle-of-Arrival Estimation’

Combettes, P. L., & Silverstein, J. [Technical Report].

By: P. Combettes & J. Silverstein

Source: NC State University Libraries
Added: August 25, 2020

report

On the rectification of covariance matrices

Combettes, P. L., & Silverstein, J. [Technical Report].

By: P. Combettes & J. Silverstein

Source: NC State University Libraries
Added: August 25, 2020

Employment

1978 - present

North Carolina State University Raleigh, NC, US
Professor Mathematics

1975 - 1978

Brown University Providence, RI, US
Post doc, visitiong assistant professor Division of Applied Mathematics

Education

1971 - 1975

Brown University Providence, RI, US
ScM, PHD Division of Applied Mathematics

1967 - 1971

Hofstra University Hempstead, New York, US
BA Mathematics