Minimax convergence rate for estimating the Wasserstein barycenter of random measures on the real line

Jérémie Bigot, Raúl Gouet, Thierry Klein +1

This paper is focused on the statistical analysis of probability measures ${\nu }_1,\dots ,{\nu }_n$ on $\mathbb{R}$ that can be viewed as independent realizations of an underlying stoch…