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Optimal Shrinkage of Eigenvalues in the Spiked Covariance Model

We show that in a common high-dimensional covariance model, the choice of loss function has a profound effect on optimal estimation. In an asymptotic framework based on the Spiked Covariance model and use of orthogonally invariant estimators, we show that optimal estimation of the population covaria...

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Dades bibliogràfiques
Publicat a:Ann Stat
Autors principals: Donoho, David L., Gavish, Matan, Johnstone, Iain M.
Format: Artigo
Idioma:Inglês
Publicat: 2018
Matèries:
Accés en línia:https://ncbi.nlm.nih.gov/pmc/articles/PMC6152949/
https://ncbi.nlm.nih.gov/pubmed/30258255
https://ncbi.nlm.nih.govhttp://dx.doi.org/10.1214/17-AOS1601
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