Central limit theorems for semi-discrete Wasserstein distances
Author:
Affiliation:
1. IMUVA, Universidad de Valladolid, Spain
2. IMT, Université de Toulouse, France
Publisher
Bernoulli Society for Mathematical Statistics and Probability
Subject
Statistics and Probability
Reference53 articles.
1. van der Vaart, A.W. and Wellner, J.A. (1996). Weak Convergence and Empirical Processes. Springer Series in Statistics. New York: Springer. 10.1007/978-1-4757-2545-2
2. Hallin, M., del Barrio, E., Cuesta-Albertos, J. and Matrán, C. (2021). Distribution and quantile functions, ranks and signs in dimension d: A measure transportation approach. Ann. Statist. 49 1139–1165. 10.1214/20-aos1996
3. Weed, J. and Bach, F. (2019). Sharp asymptotic and finite-sample rates of convergence of empirical measures in Wasserstein distance. Bernoulli 25 2620–2648. 10.3150/18-BEJ1065
4. Sommerfeld, M. and Munk, A. (2018). Inference for empirical Wasserstein distances on finite spaces. J. R. Stat. Soc. Ser. B. Stat. Methodol. 80 219–238. 10.1111/rssb.12236
5. del Barrio, E., González-Sanz, A. and Hallin, M. (2020). A note on the regularity of optimal-transport-based center-outward distribution and quantile functions. J. Multivariate Anal. 180 104671. 10.1016/j.jmva.2020.104671
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