Wasserstein metric between a discrete probability measure and a continuous one

Submit Time: 2021-12-16

Author: 杨卫华 1 ; 王霞 1 ;

Institute: 1.Bei Jing University of Technology;

Abstracts

[英文摘要]The paper considers Wasserstein metric between the empirical probability measure of n discrete random variables and a continuous uniform one on the d-dimensional ball and give the asymptotic estimation of their expectation as $n \to \infty$. Further We considers the above problem on a mixed process, i.e., n discrete random variables are produced by the Poisson process.

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From: Weihua Yang

Subject: Mathematics >> Statistics and Probability

DOI：10.12074/202112.00122

Keywords: Wasserstein metric; optimal matching; from discrete to continuous; random variable; Poisson process.;

Cite as: chinaXiv:202112.00122 (or this versionchinaXiv:202112.00122V1)

Recommended references：杨卫华,王霞.(2021).Wasserstein metric between a discrete probability measure and a continuous one.[ChinaXiv:202112.00122] (Click&Copy)

Version History
[V1]	2021-12-16 16:21:30	chinaXiv:202112.00122V1	Download

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