Rate estimates for weighted total variation norm in terms of Wasserstein distances
Fuente:
arXiv
Guardado en:
| Autores principales: | , |
|---|---|
| Formato: | Preprint |
| Publicado: |
2025
|
| Materias: | |
| Acceso en línea: | |
| Etiquetas: |
Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
|
| _version_ | 1866913901365428224 |
|---|---|
| author | Ivkovic, Iván Rásonyi, Miklós |
| author_facet | Ivkovic, Iván Rásonyi, Miklós |
| contents | We study the weighted total variation distance between probability measures. Using Fourier-analytic tools, we present estimates in terms of Wasserstein distances between the respective probabilities, under appropriate smoothness and moment conditions. We apply our results to convergence of functionals in Malliavin calculus. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_16088 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Rate estimates for weighted total variation norm in terms of Wasserstein distances Ivkovic, Iván Rásonyi, Miklós Probability Classical Analysis and ODEs We study the weighted total variation distance between probability measures. Using Fourier-analytic tools, we present estimates in terms of Wasserstein distances between the respective probabilities, under appropriate smoothness and moment conditions. We apply our results to convergence of functionals in Malliavin calculus. |
| title | Rate estimates for weighted total variation norm in terms of Wasserstein distances |
| topic | Probability Classical Analysis and ODEs |
| url | https://arxiv.org/abs/2506.16088 |