Weak convergence of empirical Wasserstein type distances

Inequalities for E ​ k ​ ( X , Y ) Ek(X,Y) when the marginals are fixed

S. Cambanis, G. Simons, and W. Stout · 1976

Earlier work this paper cites.

Weighted Approximations in Probability and Statistics

M. Csörgö and L. Horváth · 1993

Earlier work this paper cites.

Convergence of integrals of uniform empirical and quantile processes

M. Csörgö, L. Horváth, and Q.-M. Shao · 1993

Earlier work this paper cites.

Nonparametric validation of similar distributions and assessment of goodness of fit

A. Munk and C. Czado · 1998

Earlier work this paper cites.

Central limit theorems for the Wasserstein distance between the empirical and the true distributions

E. del Barrio, E. Giné, and C. Matrán · 1999

Earlier work this paper cites.

Asymptotics for L 2 L_{2} functionals of the empirical quantile process, with applications to tests of fit based on weighted Wasserstein distances

E. del Barrio, E. Giné, and F. Utzet · 2005

Cited alongside, same era.

A nonparametric test for similarity of marginals—with applications to the assessment of population bioequivalence

Gudrun Freitag, Claudia Czado, and Axel Munk · 2007

Cited alongside, same era.

Uniqueness and approximate computation of optimal incomplete transportation plans

P. C. Álvarez-Esteban, E. del Barrio, J. A. Cuesta-Albertos, and C. Matrán · 2011

Cited alongside, same era.

New fréchet features for random distributions and associated sensitivity indices

J-C. Fort and T. Klein · 2015

Cited alongside, same era.

One-dimensional empirical measures, order statistics and kantorovich transport distances

S. G. Bobkov and M. Ledoux · 2016

Cited alongside, same era.

Inference for Empirical Wasserstein Distances on Finite Spaces

Original

M. Sommerfeld and A. Munk · 2016

Later among the works it cites.

Weak convergence of empirical wasserstein type distances

P. Berthet and J-C. Fort · 2018

Later among the works it cites.

A Central Limit Theorem for Wasserstein type distances between two different real distributions

P. Berthet, J-C. Fort, and T. Klein · 2018

Later among the works it cites.

Central limit theorems for empirical transportation cost in general dimension

E. del Barrio and J.-M. Loubès · 2019

Closest in time.