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.
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}, mrnumber = {2548505}, zbl = {1175.60020}, language = {en}, url = {http://www.numdam.org/articles/10.1214/08-AIHP187/} }
TY - JOUR AU - Rio, Emmanuel TI - Upper bounds for minimal distances in the central limit theorem JO - Annales de l'I.H.P. Probabilités et statistiques PY - 2009 SP - 802 EP - 817 VL - 45 IS - 3 PB - Gauthier-Villars UR - http://www.numdam.org/articles/10.1214/08-AIHP187/ DO - 10.1214/08-AIHP187 LA - en ID - AIHPB_2009__45_3_802_0 ER -
%0 Journal Article %A Rio, Emmanuel %T Upper bounds for minimal distances in the central limit theorem %J Annales de l'I.H.P. Probabilités et statistiques %D 2009 %P 802-817 %V 45 %N 3 %I Gauthier-Villars %U http://www.numdam.org/articles/10.1214/08-AIHP187/ %R 10.1214/08-AIHP187 %G en %F 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://www.numdam.org/articles/10.1214/08-AIHP187/
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