6 papers · 1 filter
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…
Conformal Robust Set Estimation
Alejandro Cholaquidis, Emilien Joly, Leonardo Moreno
Conformal prediction provides finite-sample, distribution-free coverage under exchangeability, but standard constructions may lack robustness in the presence of outliers or heavy t…
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…
On consistent estimation of dimension values
Alejandro Cholaquidis, Antonio Cuevas, Beatriz Pateiro-López
The problem of estimating, from a random sample of points, the dimension of a compact subset of the Euclidean space is considered. The emphasis is put on consistency results in…
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…
On standardness and the non-estimability of certain functionals of a set
Alejandro Cholaquidis, Leonardo Moreno, Beatriz Pateiro-López
Standardness is a popular assumption in the literature on set estimation. It also appears in statistical approaches to topological data analysis, where it is common to assume that…