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math.ST2011
Distribution's template estimate with Wasserstein metrics
Emmanuel Boissard, Thibaut Le Gouic, Jean-Michel Loubes
In this paper we tackle the problem of comparing distributions of random variables and defining a mean pattern between a sample of random events. Using barycenters of measures in t…
math.PR2011
On the mean speed of convergence of empirical and occupation measures in Wasserstein distance
Emmanuel Boissard, Thibaut Le Gouic
In this work, we provide non-asymptotic bounds for the average speed of convergence of the empirical measure in the law of large numbers, in Wasserstein distance. We also consider…