A roughness model for functional data reveals a phase transition beyond which FPCA loses all information about the underlying variation.
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The authors relax the closeness-to-identity condition in Assumption (B) of Gusakova et al. so that central and stable limit theorems for simplex volumes hold under spiked and Toeplitz covariance structures.
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A note on "The volume of random simplices from elliptical distributions in high dimension"
The authors relax the closeness-to-identity condition in Assumption (B) of Gusakova et al. so that central and stable limit theorems for simplex volumes hold under spiked and Toeplitz covariance structures.