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math.ST2026
Recovery Limits for Eigenvector Alignment in HDLSS Spiked Covariance Models
Hubeyb Gurdogan, Alex Shkolnik
In a spiked covariance model, let and be selected sample and population eigenvector matrices. Their alignment matrix is…
math.ST2026
A Sharp Signal-to-Noise Threshold for Quasi-Maximum Likelihood Breakpoint Estimation
Hubeyb Gurdogan, Georg Menz
We establish a sharp pathwise signal-to-noise criterion for quasi-maximum-likelihood (QML) estimation of a dominant breakpoint in the second-moment structure of a multivariate time…