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math.ST2026
A bootstrap approach for testing invariance under parameterized group actions: orthogonal reflections and axial symmetry
Alejandro Cholaquidis, Juan Cuesta-Albertos, Ricardo Fraiman +1
Testing whether a multivariate distribution is invariant under an orthogonal transformation is a classical problem when the transformation is fixed in advance. We address a harder…
math.ST2025
Estimating axial symmetry using random projections
Alejandro Cholaquidis, Ricardo Fraiman, Manuel Hernández-Banadik +1
We study the directions of axial symmetry of multivariate distributions and relate the measure or cardinality of this set to spherical symmetry. Under Carleman's condition, two ind…