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Covariance Regularization by Thresholding

Covariance Regularization by Thresholding

https://devfeature-collection.sl.nsw.gov.au/record/TN_cdi_projecteuclid_primary_oai_CULeuclid_euclid_aos_1231165180

Covariance Regularization by Thresholding

About this item

Full title

Covariance Regularization by Thresholding

Publisher

Hayward: Institute of Mathematical Statistics

Journal title

The Annals of statistics, 2008-12, Vol.36 (6), p.2577-2604

Language

English

Formats

Publication information

Publisher

Hayward: Institute of Mathematical Statistics

More information

Scope and Contents

Contents

This paper considers regularizing a covariance matrix of p variables estimated from n observations, by hard thresholding. We show that the thresholded estimate is consistent in the operator norm as long as the true covariance matrix is sparse in a suitable sense, the variables are Gaussian or sub-Gaussian, and (log p) / n → 0, and obtain explicit r...

Alternative Titles

Full title

Covariance Regularization by Thresholding

Authors, Artists and Contributors

Identifiers

Primary Identifiers

Record Identifier

TN_cdi_projecteuclid_primary_oai_CULeuclid_euclid_aos_1231165180

Permalink

https://devfeature-collection.sl.nsw.gov.au/record/TN_cdi_projecteuclid_primary_oai_CULeuclid_euclid_aos_1231165180

Other Identifiers

ISSN

0090-5364

E-ISSN

2168-8966

DOI

10.1214/08-AOS600

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