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high-dimensional statistics 1rotational symmetry 1sobolev tests 1spherical data 1uniformity testing 1

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math.ST2026

High-dimensional Sobolev tests on hyperspheres

Bruno Ebner, Eduardo García-Portugués, Thomas Verdebout

The paper studies Sobolev tests for uniformity on high‑dimensional hyperspheres, deriving their asymptotic null distribution, consistency, and power against von Mises‑Fisher altern…