2013/08/05 by Lídia Rejtö, L. Rejtő, Rejtő, L. +3
Mathematics · #62H10 #81T80 #FOS: Computer and information sciences #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #Other Statistics (stat.OT) #advanced mathematical theories #msc:62H10 #msc:81T80 #stat.OT
paper · pdf · doi:10.48550/arxiv.1308.1023
openalex publication_date 2013/08/05 · arxiv created 2013/09/15 · arxiv updated 2013/09/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In our days there is a widespread analysis of Wasserstein distances between theoretical and empirical measures. One of the first investigation of the topic is given in the paper written by Ajtai, Komlós and Tusnády in 1984. Interestingly, all the neighboring questions posed by that paper were settled already without the original one. In this paper we are going to delineate the limit behavior of the original statistics with the help of computer simulations. At the same time we kept an eye on theoretical grasping of the problem. Based on our computer simulations our opinion is that the limit distribution is Gaussian.