Quantified Cramér-Wold Continuity Theorem for the Kantorovich Transport Distance
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866909989184995328 |
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| author | Bobkov, Sergey G. Götze, Friedrich |
| author_facet | Bobkov, Sergey G. Götze, Friedrich |
| contents | An upper bound for the Kantorovich transport distance between probability measures on multidimensional Euclidean spaces is given in terms of transport distances between one dimensional projections. This quantifies the Cramér-Wold continuity theorem for the weak convergence of probability measures. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_10276 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Quantified Cramér-Wold Continuity Theorem for the Kantorovich Transport Distance Bobkov, Sergey G. Götze, Friedrich Probability 60E, 60F An upper bound for the Kantorovich transport distance between probability measures on multidimensional Euclidean spaces is given in terms of transport distances between one dimensional projections. This quantifies the Cramér-Wold continuity theorem for the weak convergence of probability measures. |
| title | Quantified Cramér-Wold Continuity Theorem for the Kantorovich Transport Distance |
| topic | Probability 60E, 60F |
| url | https://arxiv.org/abs/2412.10276 |