]. P. Alvarez-esteban, E. Del-barrio, J. A. Cuesta-albertos, and C. Matrán, 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

R. R. Bahadur, 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

P. Berthet and D. M. Mason, Revisiting two strong approximation results of Dudley and Philipp, High dimensional probability, pp.155-172, 2006.
DOI : 10.1214/074921706000000824

S. G. Bobkov and M. Ledoux, One-dimensional empirical measures, order statistics and kantorovich transport distances, 2016.

S. Cambanis, G. Simons, and W. Stout, 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

M. Csörgö and P. Révész, Strong Approximations of the Quantile Process, The Annals of Statistics, vol.6, issue.4, pp.882-894, 1978.
DOI : 10.1214/aos/1176344261

E. Del-barrio, E. Giné, and C. Matrán, 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

E. Del-barrio, E. Giné, and C. Matrán, 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

E. Del-barrio, E. Giné, and F. Utzet, 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

E. Del-barrio and J. Loubès, Central limit theorems for empirical transportation cost in general dimension, 2017.

J. Kiefer, 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

T. Mikosch, Operations Research EURANDOM European Institute for Statistics, Probability, and their Applications. Regular Variation, Subexponentiality and Their Applications in Probability Theory, 1999.

A. Munk and C. Czado, 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

T. Rippl, A. Munk, and A. Sturm, 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

E. Seneta, Regularly varying functions, Lecture Notes in Mathematics, vol.508, 1976.
DOI : 10.1007/BFb0079658

M. Sommerfeld and A. Munk, Inference for Empirical Wasserstein Distances on Finite Spaces. ArXiv e-prints, 2016.
DOI : 10.1111/rssb.12236

C. Villani, Topics in Optimal Transportation, 2003.
DOI : 10.1090/gsm/058