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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
DOI:10.12074/202112.00122
Recommended references: 杨卫华,王霞.(2021).Wasserstein metric between a discrete probability measure and a continuous one.[ChinaXiv:202112.00122] (Click&Copy)
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[V1] 2021-12-16 16:21:30 chinaXiv:202112.00122V1 Download
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