TY  - JOUR 
AU  - del Barrio, Eustasio
AU  - González Sanz, Alberto
AU  - Loubes, Jean-Michel
PY  - 2024
SN  - 1350-7265
UR  - https://uvadoc.uva.es/handle/10324/82397
AB  - We prove a Central Limit Theorem for the empirical optimal transport cost, √nmn+m{Tc(Pn,Qm)−Tc(P,Q)}, in the semi-discrete case, i.e when the distribution P is supported in N points, but without assumptions on Q. We show that the asymptotic...
LA  - spa
KW  - Estadística
KW  - Probabilidad
KW  - central limit theorem , Laguerre cells , Optimal transport , optimal transport potentials , semi-discrete optimal transport
TI  - Central limit theorems for semi-discrete Wasserstein distances
DO  - 10.3150/23-BEJ1608
ER  -