Eigenvector overlaps of sample covariance matrices with intersecting time periods
Volodymyr Riabov,
Konstantin Tikhonov and
Jean-Philippe Bouchaud
Papers from arXiv.org
Abstract:
We compute exactly the overlap between the eigenvectors of two large empirical covariance matrices computed over intersecting time intervals, generalizing the results obtained previously for non-intersecting intervals. Our method relies on a particular form of Girko linearisation and extended local laws. We check our results numerically and apply them to financial data.
Date: 2025-09
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Persistent link: https://EconPapers.repec.org/RePEc:arx:papers:2509.25076
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