Upper bounds for minimal distances in the central limit theorem
Annales de l'I.H.P. Probabilités et statistiques, Tome 45 (2009) no. 3, pp. 802-817.

Nous obtenons des majorations des distances minimales dans le théorème limite central pour les suites de variables aléatoires réelles indépendantes.

We obtain upper bounds for minimal metrics in the central limit theorem for sequences of independent real-valued random variables.

DOI : https://doi.org/10.1214/08-AIHP187
Classification : 60F05
Mots clés : Fréchet-Dall'Aglio minimal metric, Wasserstein distance, rates of convergence, Esseen's mean central limit theorem, global central limit theorem
@article{AIHPB_2009__45_3_802_0,
     author = {Rio, Emmanuel},
     title = {Upper bounds for minimal distances in the central limit theorem},
     journal = {Annales de l'I.H.P. Probabilit\'es et statistiques},
     pages = {802--817},
     publisher = {Gauthier-Villars},
     volume = {45},
     number = {3},
     year = {2009},
     doi = {10.1214/08-AIHP187},
     zbl = {1175.60020},
     mrnumber = {2548505},
     language = {en},
     url = {archive.numdam.org/item/AIHPB_2009__45_3_802_0/}
}
Rio, Emmanuel. Upper bounds for minimal distances in the central limit theorem. Annales de l'I.H.P. Probabilités et statistiques, Tome 45 (2009) no. 3, pp. 802-817. doi : 10.1214/08-AIHP187. http://archive.numdam.org/item/AIHPB_2009__45_3_802_0/

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