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 ta…
math.ST2026
Testing axial symmetry around an unspecified direction
Alejandro Cholaquidis, Juan Cuesta-Albertos, Ricardo Fraiman +1
We consider the problem of testing whether a multivariate distribution is axially symmetric about some unknown direction. Under a simple-spectrum assumption on the covariance matri…
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…