3 papers
math.PR2026
Weak convergence from projected laws on a positive-measure set of directions
Alejandro Cholaquidis, Manuel Hernández-Banadik
The Cramér-Wold device characterises weak convergence of probability measures on through convergence of all one-dimensional projected laws. We prove that, if the tar…
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
This paper studies the problem of identifying directions of axial symmetry in multivariate distributions. Theoretical results are derived on how the measure or cardinality of the s…