Date of Original Version

7-2014

Type

Article

Rights Management

This is the accepted version of the article which has been published in final form at http://dx.doi.org/10.4153/CJM-2014-044-6

Abstract or Description

We consider random i.i.d. samples of absolutely continuous measures on bounded connected domains. We prove an upper bound on the ∞-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 points.

DOI

10.4153/CJM-2014-044-6

Included in

Mathematics Commons

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Published In

Canadian Journal of Mathematics, 67, 1358-1383.