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Entropic approach to E. Rio’s central limit theorem for \(W_2\) transport distance. (English) Zbl 1281.60023

Summary: The central limit theorem is considered with respect to the transport distance \(W_2\). We discuss an alternative approach to a result of E. Rio [Electron. Commun. Probab. 16, 96–103 (2011; Zbl 1225.60047)], based on a Berry-Esseen-type bound for the entropic distance to the normal distribution.

MSC:

60F05 Central limit and other weak theorems

Citations:

Zbl 1225.60047
Full Text: DOI

References:

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