6 papers
Two statistical problems for multivariate mixture distributions
Ricardo Fraiman, Leonardo Moreno, Thomas Ransford
We address two important statistical problems: that of estimating mixtures of multivariate normal distributions and mixtures of -distributions based on univariate projections, a…
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…
Conformal inference for regression on Riemannian Manifolds
Alejandro Cholaquidis, Fabrice Gamboa, Leonardo Moreno
Regression on manifolds, and, more broadly, statistics on manifolds, has garnered significant importance in recent years due to the vast number of applications for non Euclidean da…
A Cramér-Wold theorem for mixtures
Ricardo Fraiman, Leonardo Moreno, Thomas Ransford
We show how a Cramér-Wold theorem for a family of multivariate probability distributions can be used to generate a similar theorem for mixtures (convex combinations) of distributi…
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…