Wasserstein projection estimators for circular distributions
Fuente:
arXiv
Salvato in:
| Autori principali: | , |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2025
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866918164708720640 |
|---|---|
| author | Otani, Naoki Matsuda, Takeru |
| author_facet | Otani, Naoki Matsuda, Takeru |
| contents | For statistical models on circles, we investigate performance of estimators defined as the projections of the empirical distribution with respect to the Wasserstein distance. We develop algorithms for computing the Wasserstein projection estimators based on a formula of the Wasserstein distances on circles. Numerical results on the von Mises, wrapped Cauchy, and sine-skewed von Mises distributions show that the accuracy of the Wasserstein projection estimators is comparable to the maximum likelihood estimator. In addition, the $L^1$-Wasserstein projection estimator is found to be robust against noise contamination. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_18367 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Wasserstein projection estimators for circular distributions Otani, Naoki Matsuda, Takeru Statistics Theory For statistical models on circles, we investigate performance of estimators defined as the projections of the empirical distribution with respect to the Wasserstein distance. We develop algorithms for computing the Wasserstein projection estimators based on a formula of the Wasserstein distances on circles. Numerical results on the von Mises, wrapped Cauchy, and sine-skewed von Mises distributions show that the accuracy of the Wasserstein projection estimators is comparable to the maximum likelihood estimator. In addition, the $L^1$-Wasserstein projection estimator is found to be robust against noise contamination. |
| title | Wasserstein projection estimators for circular distributions |
| topic | Statistics Theory |
| url | https://arxiv.org/abs/2510.18367 |