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ASYMPTOTICS OF EMPIRICAL EIGENSTRUCTURE FOR HIGH DIMENSIONAL SPIKED COVARIANCE

ASYMPTOTICS OF EMPIRICAL EIGENSTRUCTURE FOR HIGH DIMENSIONAL SPIKED COVARIANCE

https://devfeature-collection.sl.nsw.gov.au/record/TN_cdi_pubmedcentral_primary_oai_pubmedcentral_nih_gov_5563862

ASYMPTOTICS OF EMPIRICAL EIGENSTRUCTURE FOR HIGH DIMENSIONAL SPIKED COVARIANCE

About this item

Full title

ASYMPTOTICS OF EMPIRICAL EIGENSTRUCTURE FOR HIGH DIMENSIONAL SPIKED COVARIANCE

Author / Creator

Publisher

United States: Institute of Mathematical Statistics

Journal title

The Annals of statistics, 2017-06, Vol.45 (3), p.1342-1374

Language

English

Formats

Publication information

Publisher

United States: Institute of Mathematical Statistics

More information

Scope and Contents

Contents

We derive the asymptotic distributions of the spiked eigenvalues and eigenvectors under a generalized and unified asymptotic regime, which takes into account the magnitude of spiked eigenvalues, sample size and dimensionality. This regime allows high dimensionality and diverging eigenvalues and provides new insights into the roles that the leading...

Alternative Titles

Full title

ASYMPTOTICS OF EMPIRICAL EIGENSTRUCTURE FOR HIGH DIMENSIONAL SPIKED COVARIANCE

Authors, Artists and Contributors

Identifiers

Primary Identifiers

Record Identifier

TN_cdi_pubmedcentral_primary_oai_pubmedcentral_nih_gov_5563862

Permalink

https://devfeature-collection.sl.nsw.gov.au/record/TN_cdi_pubmedcentral_primary_oai_pubmedcentral_nih_gov_5563862

Other Identifiers

ISSN

0090-5364

E-ISSN

2168-8966

DOI

10.1214/16-aos1487

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