27 citations · 102 across the 15 of their papers we have counts for
7 papers · 1 filter
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…
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…
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…