## del Barrio, Eustasio

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 Author ID: del-barrio.eustasio Published as: del Barrio, Eustasio; del Barrio, E.; Del Barrio, Eustasio; Del Barrio, E. more...less
 Documents Indexed: 35 Publications since 1999, including 1 Book Co-Authors: 22 Co-Authors with 34 Joint Publications 483 Co-Co-Authors
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### Co-Authors

 1 single-authored 25 Matrán, Carlos 17 Cuesta-Albertos, Juan Antonio 9 Álvarez-Esteban, Pedro César 3 Hallin, Marc 3 Janssen, Arnold 3 Loubes, Jean-Michel 2 Fraiman, Ricardo 2 Giné-Masdéu, Evarist 2 Gordaliza, Paula 2 Inouzhe, Hristo 1 Beirlant, Jan 1 Boistard, Hélène 1 Buitendag, Sven 1 Deheuvels, Paul 1 González-Sanz, Alberto 1 Kamper, Francois 1 Lescornel, Hélène 1 Mayo-Iscar, Agustin 1 Pauly, Markus 1 Rodríguez-Rodríguez, Jesús M. 1 Utzet, Frederic 1 Van de Geer, Sara Anna
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### Serials

 5 Test 3 The Annals of Probability 3 Journal of Multivariate Analysis 3 Computational Statistics and Data Analysis 3 Bernoulli 2 The Annals of Statistics 2 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 1 Journal of Mathematical Analysis and Applications 1 Journal of the American Statistical Association 1 Journal of Optimization Theory and Applications 1 Journal of Statistical Planning and Inference 1 Insurance Mathematics & Economics 1 Statistics & Probability Letters 1 Probability Theory and Related Fields 1 Statistical Science 1 Journal of Theoretical Probability 1 Stochastic Processes and their Applications 1 Electronic Communications in Probability 1 Statistics and Computing 1 Information and Inference 1 EMS Series of Lectures in Mathematics
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### Fields

 31 Statistics (62-XX) 21 Probability theory and stochastic processes (60-XX) 4 Calculus of variations and optimal control; optimization (49-XX) 2 Measure and integration (28-XX) 2 Functional analysis (46-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Combinatorics (05-XX) 1 Real functions (26-XX) 1 Partial differential equations (35-XX) 1 Approximations and expansions (41-XX) 1 Numerical analysis (65-XX) 1 Systems theory; control (93-XX)

### Citations contained in zbMATH Open

30 Publications have been cited 339 times in 224 Documents Cited by Year
Central limit theorems for the Wasserstein distance between the empirical and the true distributions. Zbl 0958.60012
del Barrio, Eustasio; Giné, Evarist; Matrán, Carlos
1999
Tests of goodness of fit based on the $$L_2$$-Wasserstein distance. Zbl 0961.62037
del Barrio, Eustasio; Cuesta-Albertos, Juan A.; Matrán, Carlos; Rodríguez-Rodríguez, Jesús M.
1999
A fixed-point approach to barycenters in Wasserstein space. Zbl 1383.49052
Álvarez-Esteban, Pedro C.; del Barrio, E.; Cuesta-Albertos, J. A.; Matrán, C.
2016
Asymptotics for $$L_2$$ functionals of the empirical quantile process, with applications to tests of fit based on weighted Wasserstein distances. Zbl 1063.62072
del Barrio, Eustasio; Giné, Evarist; Utzet, Frederic
2005
The random projection method in goodness of fit for functional data. Zbl 1162.62363
Cuesta-Albertos, J. A.; Del Barrio, E.; Fraiman, R.; Matrán, C.
2007
Contributions of empirical and quantile processes to the asymptotic theory of goodness-of-fit tests. (With comments). Zbl 0997.62034
del Barrio, Eustasio; Cuesta-Albertos, Juan A.; Matrán, Carlos
2000
Trimmed comparison of distributions. Zbl 1471.62262
Álvarez-Esteban, Pedro César; del Barrio, Eustasio; Cuesta-Albertos, Juan Antonio; Matrán, Carlos
2008
Central limit theorems for empirical transportation cost in general dimension. Zbl 1466.60042
Del Barrio, Eustasio; Loubes, Jean-Michel
2019
Uniqueness and approximate computation of optimal incomplete transportation plans. Zbl 1215.49042
Álvarez-Esteban, P. C.; del Barrio, E.; Cuesta-Albertos, J. A.; Matrán, C.
2011
Lectures on empirical processes. Theory and statistical applications. Zbl 1132.62001
del Barrio, Eustasio; Deheuvels, Paul; van de Geer, Sara
2007
Similarity of samples and trimming. Zbl 1239.62005
Álvarez-Esteban, Pedro C.; Del Barrio, Eustasio; Cuesta-Albertos, Juan A.; Matrán, Carlos
2012
Distribution and quantile functions, ranks and signs in dimension $$d$$: a measure transportation approach. Zbl 1468.62282
Hallin, Marc; del Barrio, Eustasio; Cuesta-Albertos, Juan; Matrán, Carlos
2021
The weighted bootstrap mean for heavy-tailed distributions. Zbl 1163.62320
del Barrio, E.; Matrán, C.
2000
Robust clustering tools based on optimal transportation. Zbl 1430.62130
del Barrio, E.; Cuesta-Albertos, J. A.; Matrán, C.; Mayo-Íscar, A.
2019
A contamination model for the stochastic order. Zbl 1373.60040
Álvarez-Esteban, Pedro C.; del Barrio, E.; Cuesta-Albertos, J. A.; Matrán, C.
2016
Wide consensus aggregation in the Wasserstein space. Application to location-scatter families. Zbl 1419.62118
Álvarez-Esteban, Pedro C.; Del Barrio, Eustasio; Cuesta-Albertos, Juan A.; Matrán, Carlos
2018
Necessary conditions for the bootstrap of the mean of a triangular array. Zbl 0930.62047
del Barrio, E.; Matrán, C.; Cuesta-Albertos, J. A.
1999
Resampling schemes with low resampling intensity and their applications in testing hypotheses. Zbl 1149.62035
del Barrio, Eustasio; Janssen, Arnold; Matrán, Carlos
2009
Assessing when a sample is mostly normal. Zbl 1284.62124
Alvarez-Esteban, Pedro C.; del Barrio, Eustasio; Cuesta-Albertos, Juan A.; Matrán, Carlos
2010
Rates of convergence for partial mass problems. Zbl 1286.60004
del Barrio, Eustasio; Matrán, Carlos
2013
Models for the assessment of treatment improvement: the ideal and the feasible. Zbl 1442.62760
Álvarez-Esteban, P. C.; del Barrio, E.; Cuesta-Albertos, J. A.; Matrán, C.
2017
Central limit theorem and bootstrap procedure for Wasserstein’s variations with an application to structural relationships between distributions. Zbl 1476.62089
del Barrio, Eustasio; Gordaliza, Paula; Lescornel, Hélène; Loubes, Jean-Michel
2019
Asymptotic stability of the bootstrap sample mean. Zbl 1057.62018
del Barrio, Eustasio; Cuesta-Albertos, Juan A.; Matrán, Carlos
2002
A note on the regularity of optimal-transport-based center-outward distribution and quantile functions. Zbl 1450.62047
del Barrio, Eustasio; González-Sanz, Alberto; Hallin, Marc
2020
The empirical cost of optimal incomplete transportation. Zbl 1291.60011
Del Barrio, Eustasio; Matrán, Carlos
2013
The $$m(n)$$ out of $$k(n)$$ bootstrap for partial sums of St. Petersburg type games. Zbl 1339.60016
Del Barrio, Eustasio; Janssen, Arnold; Pauly, Markus
2013
Searching for a common pooling pattern among several samples. Zbl 1471.62013
Álvarez-Esteban, P. C.; del Barrio, E.; Cuesta-Albertos, J. A.; Matrán, C.
2013
A central limit theorem for $$L_p$$ transportation cost on the real line with application to fairness assessment in machine learning. Zbl 1471.60026
del Barrio, Eustasio; Gordaliza, Paula; Loubes, Jean-Michel
2019
Letter to the editor. Zbl 1279.62112
Cuesta-Albertos, J. A.; del Barrio, E.; Fraiman, R.; Matrán, C.
2012
Center-outward quantiles and the measurement of multivariate risk. Zbl 1452.91074
Beirlant, Jan; Buitendag, Sven; del Barrio, E.; Hallin, M.; Kamper, Francois
2020
Distribution and quantile functions, ranks and signs in dimension $$d$$: a measure transportation approach. Zbl 1468.62282
Hallin, Marc; del Barrio, Eustasio; Cuesta-Albertos, Juan; Matrán, Carlos
2021
A note on the regularity of optimal-transport-based center-outward distribution and quantile functions. Zbl 1450.62047
del Barrio, Eustasio; González-Sanz, Alberto; Hallin, Marc
2020
Center-outward quantiles and the measurement of multivariate risk. Zbl 1452.91074
Beirlant, Jan; Buitendag, Sven; del Barrio, E.; Hallin, M.; Kamper, Francois
2020
Central limit theorems for empirical transportation cost in general dimension. Zbl 1466.60042
Del Barrio, Eustasio; Loubes, Jean-Michel
2019
Robust clustering tools based on optimal transportation. Zbl 1430.62130
del Barrio, E.; Cuesta-Albertos, J. A.; Matrán, C.; Mayo-Íscar, A.
2019
Central limit theorem and bootstrap procedure for Wasserstein’s variations with an application to structural relationships between distributions. Zbl 1476.62089
del Barrio, Eustasio; Gordaliza, Paula; Lescornel, Hélène; Loubes, Jean-Michel
2019
A central limit theorem for $$L_p$$ transportation cost on the real line with application to fairness assessment in machine learning. Zbl 1471.60026
del Barrio, Eustasio; Gordaliza, Paula; Loubes, Jean-Michel
2019
Wide consensus aggregation in the Wasserstein space. Application to location-scatter families. Zbl 1419.62118
Álvarez-Esteban, Pedro C.; Del Barrio, Eustasio; Cuesta-Albertos, Juan A.; Matrán, Carlos
2018
Models for the assessment of treatment improvement: the ideal and the feasible. Zbl 1442.62760
Álvarez-Esteban, P. C.; del Barrio, E.; Cuesta-Albertos, J. A.; Matrán, C.
2017
A fixed-point approach to barycenters in Wasserstein space. Zbl 1383.49052
Álvarez-Esteban, Pedro C.; del Barrio, E.; Cuesta-Albertos, J. A.; Matrán, C.
2016
A contamination model for the stochastic order. Zbl 1373.60040
Álvarez-Esteban, Pedro C.; del Barrio, E.; Cuesta-Albertos, J. A.; Matrán, C.
2016
Rates of convergence for partial mass problems. Zbl 1286.60004
del Barrio, Eustasio; Matrán, Carlos
2013
The empirical cost of optimal incomplete transportation. Zbl 1291.60011
Del Barrio, Eustasio; Matrán, Carlos
2013
The $$m(n)$$ out of $$k(n)$$ bootstrap for partial sums of St. Petersburg type games. Zbl 1339.60016
Del Barrio, Eustasio; Janssen, Arnold; Pauly, Markus
2013
Searching for a common pooling pattern among several samples. Zbl 1471.62013
Álvarez-Esteban, P. C.; del Barrio, E.; Cuesta-Albertos, J. A.; Matrán, C.
2013
Similarity of samples and trimming. Zbl 1239.62005
Álvarez-Esteban, Pedro C.; Del Barrio, Eustasio; Cuesta-Albertos, Juan A.; Matrán, Carlos
2012
Letter to the editor. Zbl 1279.62112
Cuesta-Albertos, J. A.; del Barrio, E.; Fraiman, R.; Matrán, C.
2012
Uniqueness and approximate computation of optimal incomplete transportation plans. Zbl 1215.49042
Álvarez-Esteban, P. C.; del Barrio, E.; Cuesta-Albertos, J. A.; Matrán, C.
2011
Assessing when a sample is mostly normal. Zbl 1284.62124
Alvarez-Esteban, Pedro C.; del Barrio, Eustasio; Cuesta-Albertos, Juan A.; Matrán, Carlos
2010
Resampling schemes with low resampling intensity and their applications in testing hypotheses. Zbl 1149.62035
del Barrio, Eustasio; Janssen, Arnold; Matrán, Carlos
2009
Trimmed comparison of distributions. Zbl 1471.62262
Álvarez-Esteban, Pedro César; del Barrio, Eustasio; Cuesta-Albertos, Juan Antonio; Matrán, Carlos
2008
The random projection method in goodness of fit for functional data. Zbl 1162.62363
Cuesta-Albertos, J. A.; Del Barrio, E.; Fraiman, R.; Matrán, C.
2007
Lectures on empirical processes. Theory and statistical applications. Zbl 1132.62001
del Barrio, Eustasio; Deheuvels, Paul; van de Geer, Sara
2007
Asymptotics for $$L_2$$ functionals of the empirical quantile process, with applications to tests of fit based on weighted Wasserstein distances. Zbl 1063.62072
del Barrio, Eustasio; Giné, Evarist; Utzet, Frederic
2005
Asymptotic stability of the bootstrap sample mean. Zbl 1057.62018
del Barrio, Eustasio; Cuesta-Albertos, Juan A.; Matrán, Carlos
2002
Contributions of empirical and quantile processes to the asymptotic theory of goodness-of-fit tests. (With comments). Zbl 0997.62034
del Barrio, Eustasio; Cuesta-Albertos, Juan A.; Matrán, Carlos
2000
The weighted bootstrap mean for heavy-tailed distributions. Zbl 1163.62320
del Barrio, E.; Matrán, C.
2000
Central limit theorems for the Wasserstein distance between the empirical and the true distributions. Zbl 0958.60012
del Barrio, Eustasio; Giné, Evarist; Matrán, Carlos
1999
Tests of goodness of fit based on the $$L_2$$-Wasserstein distance. Zbl 0961.62037
del Barrio, Eustasio; Cuesta-Albertos, Juan A.; Matrán, Carlos; Rodríguez-Rodríguez, Jesús M.
1999
Necessary conditions for the bootstrap of the mean of a triangular array. Zbl 0930.62047
del Barrio, E.; Matrán, C.; Cuesta-Albertos, J. A.
1999
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### Cited by 372 Authors

 22 del Barrio, Eustasio 19 Cuesta-Albertos, Juan Antonio 18 Matrán, Carlos 8 Munk, Axel 7 Álvarez-Esteban, Pedro César 5 Kim, Sejong 4 Bigot, Jéremie 4 Cuevas, Antonio 4 Dedecker, Jérôme 4 González-Manteiga, Wenceslao 4 Hallin, Marc 4 Janssen, Arnold 4 Loubes, Jean-Michel 4 Zemel, Yoav 3 Ebner, Bruno 3 Fraiman, Ricardo 3 Hwang, Jinmi 3 James, Nick 3 Klein, Thierry E. 3 Le Gouic, Thibaut 3 Menzies, Max 3 Papayiannis, Georgios I. 3 Pauly, Markus 3 Vieu, Philippe 2 Altschuler, Jason M. 2 Berthet, Philippe 2 Bhatia, Rajendra 2 Boissard, Emmanuel 2 Boix-Adserà, Enric 2 Bouzebda, Salim 2 Bugni, Federico A. 2 Cárcamo, Javier 2 Csörgő, Sándor 2 Dette, Holger 2 Febrero-Bande, Manuel 2 Fort, Jean-Claude 2 Freitag, Gudrun 2 Ghosal, Promit 2 Grigoletto, Matteo 2 Inouzhe, Hristo 2 Irpino, Antonio 2 Jain, Tanvi 2 Kaňková, Vlasta 2 Klatt, Marcel 2 Lee, Hosoo 2 Lescornel, Hélène 2 Lim, Yongdo 2 Merlevède, Florence 2 Michel, Bertrand 2 Mordant, Gilles 2 Nieto-Reyes, Alicia 2 Novikov, Aleksandr Aleksandrovich 2 Olvera-Cravioto, Mariana 2 Panaretos, Victor M. 2 Provasi, Corrado 2 Rüschendorf, Ludger 2 Schuhmacher, Dominic 2 Sirignano, Justin A. 2 Sommerfeld, Max 2 Spiliopoulos, Konstantinos V. 2 Spokoiny, Vladimir G. 2 Srivastava, Sanvesh 2 Suvorikova, Alexandra 2 Tabri, Rami Victor 2 Tameling, Carla 2 Velilla, Santiago 2 Wasserman, Larry Alan 2 Xu, Xingzhong 2 Yannacopoulos, Athanasios N. 2 Yun, Sangwoon 2 Zhao, Jianxin 1 Abban, Hamid 1 Absil, Pierre-Antoine 1 Agulló-Antolín, Marina 1 Ahidar-Coutrix, A. 1 Al Zaim, Yasser 1 Alaa, H. N. 1 Arbenz, Philipp 1 Arcones, Miguel A. 1 Asgharian, Masoud 1 Bachoc, François 1 Baíllo, Amparo 1 Balakrishnan, Sivaraman 1 Balzanella, Antonio 1 Barrios, M. Pilar 1 Bassetti, Federico 1 Beirlant, Jan 1 Bencheikh, Oumaima 1 Bercu, Bernard 1 Berkes, István 1 Bernard, Carole L. 1 Bernton, Espen 1 Betsch, Steffen 1 Bishop, Adrian N. 1 Bissantz, Nicolai 1 Bobkov, Sergey Germanovich 1 Bodini, Antonella 1 Bond, Stephen D. 1 Bondell, Howard D. 1 Bongiorno, Enea G. ...and 272 more Authors
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### Cited in 92 Serials

 15 Journal of Multivariate Analysis 13 Electronic Journal of Statistics 12 The Annals of Statistics 12 Test 12 Bernoulli 10 Statistics & Probability Letters 10 Computational Statistics and Data Analysis 7 Journal of Statistical Planning and Inference 6 Journal of Statistical Computation and Simulation 6 Stochastic Processes and their Applications 4 The Annals of Applied Probability 3 Journal of Mathematical Analysis and Applications 3 Annals of the Institute of Statistical Mathematics 3 The Annals of Probability 3 Insurance Mathematics & Economics 3 Probability Theory and Related Fields 3 Electronic Journal of Probability 3 Journal of Nonparametric Statistics 3 Journal of Applied Statistics 3 Statistics and Computing 3 SIAM Journal on Mathematics of Data Science 2 Journal of Computational and Applied Mathematics 2 Journal of Econometrics 2 Journal of Optimization Theory and Applications 2 Statistical Science 2 Communications in Statistics. Theory and Methods 2 European Journal of Operational Research 2 Linear Algebra and its Applications 2 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 2 Econometric Theory 2 Journal of Machine Learning Research (JMLR) 2 Advances in Data Analysis and Classification. ADAC 2 Sankhyā. Series A 1 Journal of Computational Physics 1 Journal of Statistical Physics 1 Metrika 1 Scandinavian Journal of Statistics 1 Bulletin of Mathematical Biology 1 Biometrical Journal 1 Biometrics 1 Journal of Approximation Theory 1 Journal of Functional Analysis 1 Journal of the Korean Mathematical Society 1 Kybernetika 1 Memoirs of the American Mathematical Society 1 SIAM Journal on Control and Optimization 1 Stochastic Analysis and Applications 1 Physica D 1 Statistics 1 Econometric Reviews 1 Asia-Pacific Journal of Operational Research 1 Mathematical and Computer Modelling 1 Annals of Operations Research 1 Machine Learning 1 Computational Statistics 1 Communications in Statistics. Simulation and Computation 1 SIAM Journal on Mathematical Analysis 1 Expositiones Mathematicae 1 Mathematical Programming. Series A. Series B 1 SIAM Journal on Scientific Computing 1 Calculus of Variations and Partial Differential Equations 1 Mathematical Methods of Statistics 1 Journal of the Egyptian Mathematical Society 1 Economic Theory 1 Applied Mathematical Finance 1 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics 1 Mathematical Methods of Operations Research 1 The Econometrics Journal 1 Journal of the Royal Statistical Society. Series B. Statistical Methodology 1 International Journal of Applied Mathematics and Computer Science 1 CEJOR. Central European Journal of Operations Research 1 Scandinavian Actuarial Journal 1 Journal of Systems Science and Complexity 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 SORT. Statistics and Operations Research Transactions 1 Mediterranean Journal of Mathematics 1 Statistical Methods and Applications 1 Journal of Statistical Mechanics: Theory and Experiment 1 Journal of the Korean Statistical Society 1 ALEA. Latin American Journal of Probability and Mathematical Statistics 1 Journal of Statistical Theory and Practice 1 AStA. Advances in Statistical Analysis 1 SIAM Journal on Imaging Sciences 1 Journal of Computational and Graphical Statistics 1 Journal of Probability and Statistics 1 Annals of Functional Analysis 1 Analysis and Mathematical Physics 1 Numerical Algebra, Control and Optimization 1 Journal of the Korean Society for Industrial and Applied Mathematics 1 Journal of Dynamics and Games 1 SIAM/ASA Journal on Uncertainty Quantification 1 Information Geometry
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### Cited in 29 Fields

 167 Statistics (62-XX) 78 Probability theory and stochastic processes (60-XX) 25 Operations research, mathematical programming (90-XX) 18 Calculus of variations and optimal control; optimization (49-XX) 18 Numerical analysis (65-XX) 15 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 9 Computer science (68-XX) 7 Linear and multilinear algebra; matrix theory (15-XX) 7 Operator theory (47-XX) 6 Measure and integration (28-XX) 5 Partial differential equations (35-XX) 4 Combinatorics (05-XX) 2 Approximations and expansions (41-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Functional analysis (46-XX) 2 Geometry (51-XX) 2 Differential geometry (53-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Statistical mechanics, structure of matter (82-XX) 2 Astronomy and astrophysics (85-XX) 2 Geophysics (86-XX) 2 Biology and other natural sciences (92-XX) 2 Systems theory; control (93-XX) 1 General and overarching topics; collections (00-XX) 1 Real functions (26-XX) 1 Special functions (33-XX) 1 Algebraic topology (55-XX) 1 Fluid mechanics (76-XX) 1 Quantum theory (81-XX)