Eustasio del Barrio
Eustasio del Barrio
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Central limit theorems for the Wasserstein distance between the empirical and the true distributions
E del Barrio, E Giné, C Matrán
Annals of Probability, 1009-1071, 1999
1291999
Tests of Goodness of Fit Based on the L2-Wasserstein Distance
E Del Barrio, JA Cuesta-Albertos, C Matrán, JM Rodríguez-Rodríguez
Annals of Statistics, 1230-1239, 1999
1261999
Contributions of empirical and quantile processes to the asymptotic theory of goodness-of-fit tests
E Del Barrio, JA Cuesta-Albertos, C Matrán, S Csörgö, CM Cuadras, ...
Test 9 (1), 1-96, 2000
842000
Asymptotics for L2 functionals of the empirical quantile process, with applications to tests of fit based on weighted Wasserstein distances
E Del Barrio, E Giné, F Utzet
Bernoulli 11 (1), 131-189, 2005
682005
A fixed-point approach to barycenters in Wasserstein space
PC Álvarez-Esteban, E Del Barrio, JA Cuesta-Albertos, C Matrán
Journal of Mathematical Analysis and Applications 441 (2), 744-762, 2016
602016
The random projection method in goodness of fit for functional data
JA Cuesta-Albertos, E del Barrio, R Fraiman, C Matrán
Computational Statistics & Data Analysis 51 (10), 4814-4831, 2007
592007
Lectures on empirical processes
E Del Barrio, P Deheuvels, S Van De Geer
482007
Central limit theorems for empirical transportation cost in general dimension
E Del Barrio, JM Loubes
The Annals of Probability 47 (2), 926-951, 2019
462019
Uniqueness and approximate computation of optimal incomplete transportation plans
PC Álvarez-Esteban, E Del Barrio, JA Cuesta-Albertos, C Matrán
Annales de l'IHP Probabilités et statistiques 47 (2), 358-375, 2011
382011
Trimmed comparison of distributions
PC Alvarez-Esteban, E Del Barrio, JA Cuesta-Albertos, C Matran
Journal of the American Statistical Association 103 (482), 697-704, 2008
382008
Similarity of samples and trimming
PC Alvarez-Esteban, E Del Barrio, JA Cuesta-Albertos, C Matrán
Bernoulli 18 (2), 606-634, 2012
292012
Obtaining fairness using optimal transport theory
P Gordaliza, E Del Barrio, G Fabrice, JM Loubes
International Conference on Machine Learning, 2357-2365, 2019
182019
The weighted bootstrap mean for heavy-tailed distributions
E Del Barrio, C Matrán
Journal of Theoretical Probability 13 (2), 547-569, 2000
182000
A statistical analysis of a deformation model with Wasserstein barycenters: estimation procedure and goodness of fit test
E Del Barrio, H Lescornel, JM Loubes
arXiv preprint arXiv:1508.06465, 2015
152015
Robust clustering tools based on optimal transportation
E del Barrio, JA Cuesta-Albertos, C Matrán, A Mayo-Íscar
Statistics and Computing 29 (1), 139-160, 2019
132019
Robust clustering tools based on optimal transportation
E del Barrio, JA Cuesta-Albertos, C Matrán, A Mayo-Íscar
Statistics and Computing 29 (1), 139-160, 2019
132019
Wide consensus for parallelized inference
PC Alvarez-Esteban, E del Barrio, JA Cuesta-Albertos, C Matrán
arXiv preprint arXiv:1511.05350, 2015
122015
Empirical and quantile processes in the asymptotic theory of goodness-of-fit tests
E del Barrio
Lecture Notes presented at the European Mathematical Society Summer School …, 2004
112004
Obtaining fairness using optimal transport theory
E Del Barrio, F Gamboa, P Gordaliza, JM Loubes
arXiv preprint arXiv:1806.03195, 2018
102018
Wide consensus aggregation in the Wasserstein space. Application to location-scatter families
PC Alvarez-Esteban, E del Barrio, JA Cuesta-Albertos, C Matrán
Bernoulli 24 (4A), 3147-3179, 2018
92018
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