On the Rate of Convergence of Empirical Measures in ∞-transportation Distance
On the Rate of Convergence of Empirical Measures in ∞-transportation Distance
复制标题
关于∞-传输距离下经验测度的收敛率
DOI：
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发表时间：
2015
期刊：
影响因子：
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通讯作者：
D. Slepčev
中科院分区：
文献类型：
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作者：
Nicolás García Trillos;D. Slepčev
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Abstract 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 points.