J. Fort

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20072020

most citedWeak convergence of empirical Wasserstein type distances

8 citations · 19 across the 8 of their papers we have counts for

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math.PR2020★ 4 cited

Exact rate of convergence of the mean Wasserstein distance between the empirical and true Gaussian distribution

Philippe Berthet, Jean-Claude Fort

We study the Wasserstein distance $W_{2}$ for Gaussian samples. We establish the exact rate of convergence $lo g lo g n / n$ of the expected value of the $W_{2}$ distance between t…

math.PR2019★ 8 cited

Weak convergence of empirical Wasserstein type distances

Philippe Berthet, Jean-Claude Fort

We estimate contrasts $\int_{0}^{1} ρ (F^{- 1} (u) - G^{- 1} (u)) d u$ between two continuous distributions $F$ and $G$ on $R$ such that the set ${F = G}$ is a finite union of interval…