# Berry-Esseen bounds in central limit theorem for transport distances

 Orateur: BOBKOV Serguey Localisation: Université du Minnesota, États-Unis Type: Groupe de travail Convexité, Transport Optimal et Probabilités (CTOP) Site: Hors LAMA , IHP Salle: 01 Date de début: 12/05/2016 - 14:00 Date de fin: 12/05/2016 - 14:00

For sums of independent random variables $S_n=X_1+\dots+X_n$, Berry-Esseen-type bounds are derived for the transport power distances $W_p$ in terms of Lyapunov coefficients $L_{p+2}$. These bounds extend the results by E. Rio from the range $1 < p\le 2$ to all values $p >1$.