Characterization of probability distribution convergence in Wasserstein distance by $L^{p}$-quantization error function

Yating Liu (1) , Gilles Pagès (2)

1 CEREMADE - CEntre de REcherches en MAthématiques de la DEcision
2 LPSM (UMR_8001) - Laboratoire de Probabilités, Statistique et Modélisation

Domains: Mathematics [math]; Probability [math.PR]

Yating Liu, Gilles Pagès. Characterization of probability distribution convergence in Wasserstein distance by $L^{p}$-quantization error function. Bernoulli, 2020, 26 (2), ⟨10.3150/19-BEJ1146⟩. ⟨hal-03891190⟩