Uniqueness and approximate computation of optimal incomplete transportation plans, Annales de l'Institut Henri Poincar??, Probabilit??s et Statistiques, vol.47, issue.2, pp.358-375, 2011. ,
DOI : 10.1214/09-AIHP354
A Note on Quantiles in Large Samples, The Annals of Mathematical Statistics, vol.37, issue.3, pp.577-580, 1966. ,
DOI : 10.1214/aoms/1177699450
Revisiting two strong approximation results of Dudley and Philipp, High dimensional probability, pp.155-172, 2006. ,
DOI : 10.1214/074921706000000824
One-dimensional empirical measures, order statistics and kantorovich transport distances, 2016. ,
Inequalities for E k(X, Y) when the marginals are fixed, Zeitschrift f???r Wahrscheinlichkeitstheorie und Verwandte Gebiete, vol.13, issue.14, pp.285-294, 1976. ,
DOI : 10.1007/BF00532695
Strong Approximations of the Quantile Process, The Annals of Statistics, vol.6, issue.4, pp.882-894, 1978. ,
DOI : 10.1214/aos/1176344261
Central Limit Theorems for the Wasserstein Distance Between the Empirical and the True Distributions, The Annals of Probability, vol.27, issue.2, pp.1009-1071, 1999. ,
DOI : 10.1214/aop/1022677394
Central Limit Theorems for the Wasserstein Distance Between the Empirical and the True Distributions, The Annals of Probability, vol.27, issue.2, pp.1009-1071, 1999. ,
DOI : 10.1214/aop/1022677394
Asymptotics for L 2 functionals of the empirical quantile process, with applications to tests of fit based on weighted Wasserstein distances, Bernoulli, vol.11, issue.1, pp.131-189, 2005. ,
DOI : 10.3150/bj/1110228245
Central limit theorems for empirical transportation cost in general dimension, 2017. ,
Deviations Between the Sample Quantile Process and the Sample DF, Nonparametric Techniques in Statistical Inference (Proc. Sympos, pp.299-319, 1969. ,
DOI : 10.1007/978-1-4613-8505-9_42
Operations Research EURANDOM European Institute for Statistics, Probability, and their Applications. Regular Variation, Subexponentiality and Their Applications in Probability Theory, 1999. ,
Nonparametric validation of similar distributions and assessment of goodness of fit, Journal of the Royal Statistical Society: Series B (Statistical Methodology), vol.60, issue.1, pp.223-241, 1998. ,
DOI : 10.1111/1467-9868.00121
Limit laws of the empirical Wasserstein distance: Gaussian distributions, Journal of Multivariate Analysis, vol.151, pp.90-109, 2016. ,
DOI : 10.1016/j.jmva.2016.06.005
Regularly varying functions, Lecture Notes in Mathematics, vol.508, 1976. ,
DOI : 10.1007/BFb0079658
Inference for Empirical Wasserstein Distances on Finite Spaces. ArXiv e-prints, 2016. ,
DOI : 10.1111/rssb.12236
Topics in Optimal Transportation, 2003. ,
DOI : 10.1090/gsm/058