Robust estimation of high-dimensional covariance and precision matrices

Author:

Avella-Medina Marco1,Battey Heather S2,Fan Jianqing3,Li Quefeng4

Affiliation:

1. Sloan School of Management, Massachusetts Institute of Technology, 30 Memorial Drive, Cambridge, Massachusetts, U.S.A

2. Department of Mathematics, Imperial College London, 545 Huxley Building, South Kensington Campus, London, U.K

3. Department of Operations Research and Financial Engineering, Princeton University, 205 Sherred Hall, Princeton, New Jersey, U.S.A

4. Department of Biostatistics, University of North Carolina at Chapel Hill, 3105D McGavran-Greenberg Hall, Chapel Hill, North Carolina, U.S.A

Funder

National Science Foundation

National Institutes of Health

Engineering and Physical Sciences Research Council

Publisher

Oxford University Press (OUP)

Subject

Applied Mathematics,Statistics, Probability and Uncertainty,General Agricultural and Biological Sciences,Agricultural and Biological Sciences (miscellaneous),General Mathematics,Statistics and Probability

Reference32 articles.

1. Regularization of wavelet approximations.;Antoniadis,;J. Am. Statist. Assoc.,2001

2. The skew-normal distribution and related multivariate families.;Azzalini,;Scand. J. Statist.,2005

3. Covariance regularization by thresholding.;Bickel,;Ann. Statist.,2008

4. Convex Optimization

5. Bandits with heavy tail.;Bubeck,;IEEE Trans. Info. Theory,2013

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