One-dimensional empirical measures, order statistics, and Kantorovich transport distances / Sergey Bobkov, Michel Ledoux.
This work is devoted to the study of rates of convergence of the empirical measures \mu_{n} = \frac {1}{n} \sum_{k=1}^n \delta_{X_k}, n \geq 1, over a sample (X_{k})_{k \geq 1} of independent identically distributed real-valued random variables towards the common distribution \mu in Kantorovich tran...
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