ASYMPTOTICS OF EMPIRICAL EIGENSTRUCTURE FOR HIGH DIMENSIONAL SPIKED COVARIANCE
ASYMPTOTICS OF EMPIRICAL EIGENSTRUCTURE FOR HIGH DIMENSIONAL SPIKED COVARIANCE
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United States: Institute of Mathematical Statistics
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Language
English
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United States: Institute of Mathematical Statistics
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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...
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Full title
ASYMPTOTICS OF EMPIRICAL EIGENSTRUCTURE FOR HIGH DIMENSIONAL SPIKED COVARIANCE
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TN_cdi_pubmedcentral_primary_oai_pubmedcentral_nih_gov_5563862
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https://devfeature-collection.sl.nsw.gov.au/record/TN_cdi_pubmedcentral_primary_oai_pubmedcentral_nih_gov_5563862
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ISSN
0090-5364
E-ISSN
2168-8966
DOI
10.1214/16-aos1487