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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…
math.ST2025
Depth based trimmed means
Alejandro Cholaquidis, Ricardo Fraiman, Leonardo Moreno +1
Robust estimation of location is a fundamental problem in statistics, particularly in scenarios where data contamination by outliers or model misspecification is a concern. In univ…