On the Rate of Convergence of Empirical Measures in $\infty$-transportation Distance
Printed: Dec 2015
Nicolas Garcia Trillos,
We consider random i.i.d. samples of absolutely continuous measures
on bounded connected domains.
We prove an upper bound on the $\infty$-transportation distance
between the measure and the empirical measure of the sample.
The bound is optimal in terms of scaling with the number of sample
01B01 - unknown classification 01B01