27 citations · 102 across the 15 of their papers we have counts for
15 papers
An Optimal Transportation Approach for Improved Confidence Intervals
Christophe Quentin Valvason, Eustasio del Barrio, Stefan Sperlich
Optimal transport methods have recently attracted a lot of attention in statistics. Their appeal lies in providing a geometric framework for comparing probability measures, leading…
Distributional Limit Theory for Optimal Transport
Eustasio del Barrio, Alberto González-Sanz, Jean-Michel Loubes +1
Optimal Transport (OT) is a resource allocation problem with applications in biology, data science, economics and statistics, among others. In some of the applications, practitione…
An improved central limit theorem for the empirical sliced Wasserstein distance
David Rodríguez-Vítores, Eustasio del Barrio, Jean-Michel Loubes
Wasserstein distances are widely used in modern data analysis but pose significant computational and statistical challenges in high dimensions. The sliced Wasserstein distance alle…
Regularity of center-outward distribution functions in non-convex domains
Eustasio del Barrio, Alberto González Sanz
For a probability P in its center outward distribution function , introduced in Chernozhukov et al. (2017) and Hallin et al. (2021), is a new and successful concept…
Using the Sinkhorn divergence in permutation tests for the multivariate two-sample problem
E. del Barrio, J. S. Osorio, A. J. Quiroz
In order to adapt the Wasserstein distance to the large sample multivariate non-parametric two-sample problem, making its application computationally feasible, permutation tests ba…
Nonparametric Multiple-Output Center-Outward Quantile Regression
Eustasio del Barrio, Alberto Gonzalez Sanz, Marc Hallin
Based on the novel concept of multivariate center-outward quantiles introduced recently in Chernozhukov et al. (2017) and Hallin et al. (2021), we are considering the problem of no…
Invariant measures of disagreement with stochastic dominance
E. del Barrio, J. A. Cuesta-Albertos, C. Matran
Stochastic dominance has not been too employed in practice due to its important limitations. To increase its versatility, the concept has recently been adapted by introducing vario…
Models for the assessment of treatment improvement: the ideal and the feasible
P. C. Álvarez-Esteban, E. del Barrio, J. A. Cuesta-Albertos +1
Comparisons of different treatments or production processes are the goals of a significant fraction of applied research. Unsurprisingly, two-sample problems play a main role in Sta…
Robust clustering tools based on optimal transportation
E. del Barrio, J. A. Cuesta-Albertos, C. Matrán +1
A robust clustering method for probabilities in Wasserstein space is introduced. This new "trimmed -barycenters" approach relies on recent results on barycenters in Wasserstein…
Berry-Esseen bounds for weighted averages of Poisson avoidance functionals
Eustasio del Barrio
We consider functionals which are weighted averages of the avoidance function of a Poisson process. Using the approach to Stein's method based on Malliavin calculus for Poisson fun…
A fixed-point approach to barycenters in Wasserstein space
Pedro C. Álvarez-Esteban, E. del Barrio, J. A. Cuesta-Albertos +1
Let be the set of Borel probabilities on with finite second moment and absolutely continuous with respect to Lebesgue measure. We consider the p…
Wide Consensus for Parallelized Inference
P. C. Álvarez-Esteban, E. del Barrio, J. A. Cuesta-Albertos +1
We develop a general theory to address a consensus-based combination of estimations in a parallelized or distributed estimation setting. Taking into account the possibility of very…
A contamination model for approximate stochastic order: extended version
Pedro C. Alvarez-Esteban, Eustasio del Barrio, Juan A. Cuesta-Albertos +1
Stochastic ordering among distributions has been considered in a variety of scenarios. Economic studies often involve research about the ordering of investment strategies or social…
The empirical cost of optimal incomplete transportation
Eustasio del Barrio, Carlos Matrán
We consider the problem of optimal incomplete transportation between the empirical measure on an i.i.d. uniform sample on the d-dimensional unit cube and the true measure…
Similarity of samples and trimming
Pedro C. Álvarez-Esteban, Eustasio del Barrio, Juan A. Cuesta-Albertos +1
We say that two probabilities are similar at level if they are contaminated versions (up to an fraction) of the same common probability. We show how this model is related t…