Dimension estimation in a spiked covariance model using high-dimensional data augmentation
: Radojičić, U; Virta, J.
Publisher: OXFORD UNIV PRESS
: 2025
Biometrika
: asaf052
: 112
: 4
: 0006-3444
: 1464-3510
DOI: https://doi.org/10.1093/biomet/asaf052
: https://doi.org/10.1093/biomet/asaf052
: https://research.utu.fi/converis/portal/detail/Publication/505616526
We propose a modified, high-dimensional version of a recent dimension estimation procedure that determines the dimension via the introduction of augmented noise variables into the data. Our asymptotic results show that the proposal is consistent in wide, high-dimensional scenarios, and further shed light on why the original method breaks down when the dimension of either the data or the augmentation becomes too large. Simulations and real data are used to demonstrate the superiority of the proposal to competitors both under and outside of the theoretical model.
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The work of Virta was supported by the Research Council of Finland (335077, 347501, 353769). The work of Radojičić was funded by the Austrian Science Fund (FWF) [10.55776/I5799].
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