Philippe Berthet

activity

20062022

most citedRevisiting two strong approximation results of Dudley and Philipp

24 citations · 61 across the 9 of their papers we have counts for

collaborators

Showing 2020Show all

2 papers · 1 filter

math.ST2020

Cube root weak convergence of empirical estimators of a density level set

Philippe Berthet, John H. J. Einmahl

Given $n$ independent random vectors with common density $f$ on $R^{d}$ , we study the weak convergence of three empirical-measure based estimators of the convex $λ$ -level se…

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…