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Wasserstein metric between a discrete probability measure and a continuous one
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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