]. 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

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

URL : http://arxiv.org/abs/math/0612701

M. Bobkov and S. G. 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

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

URL : http://arxiv.org/abs/1610.03287

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