| dc.contributor | Cholaquidis Alejandro, Universidad de la República (Uruguay). Facultad de Ciencias. Centro de Matemática. | |
| dc.contributor | Fraiman Ricardo, Universidad de la República (Uruguay). Facultad de Ciencias. Centro de Matemática. | |
| dc.contributor | Moreno Leonardo, Universidad de la República (Uruguay). FCEA | |
| dc.creator | Cholaquidis, Alejandro | |
| dc.creator | Fraiman, Ricardo | |
| dc.creator | Moreno, Leonardo | |
| dc.date.accessioned | 2023-06-02T14:25:52Z | |
| dc.date.accessioned | 2023-07-13T17:39:59Z | |
| dc.date.available | 2023-06-02T14:25:52Z | |
| dc.date.available | 2023-07-13T17:39:59Z | |
| dc.date.created | 2023-06-02T14:25:52Z | |
| dc.date.issued | 2021 | |
| dc.identifier | Cholaquidis, A, Fraiman, R y Moreno, l. "Level sets of depth measures in abstract spaces". [Preprint]. Publicado en: Mathematics (Statistics Theory). 2021 arXiv:2011.11146, Mar 2021. 17 h. | |
| dc.identifier | https://hdl.handle.net/20.500.12008/37373 | |
| dc.identifier.uri | https://repositorioslatinoamericanos.uchile.cl/handle/2250/7425911 | |
| dc.description.abstract | The lens depth of a point has been recently extended to general metric spaces, which is not the case for most depths. It is defined as the probability of being included in the intersection of two random balls centred at two random points X and Y, with the same radius d(X, Y). We study the consistency in Hausdorff and measure distance, of the level sets of the empirical lens depth, based on an iid sample on a general metric space. We also prove that the boundary of the empirical level sets are consistent estimators of their population counterparts, and analyze two real-life examples | |
| dc.language | en | |
| dc.relation | Mathematics (Statistics Theory), arXiv:2011.11146, Mar 2021 | |
| dc.rights | Licencia Creative Commons Atribución - No Comercial - Sin Derivadas (CC - By-NC-ND 4.0) | |
| dc.rights | Las obras depositadas en el Repositorio se rigen por la Ordenanza de los Derechos de la Propiedad Intelectual de la Universidad de la República.(Res. Nº 91 de C.D.C. de 8/III/1994 – D.O. 7/IV/1994) y por la Ordenanza del Repositorio Abierto de la Universidad de la República (Res. Nº 16 de C.D.C. de 07/10/2014) | |
| dc.subject | Depth measures | |
| dc.subject | Lens depth | |
| dc.subject | Level sets | |
| dc.subject | Metric spaces | |
| dc.subject | Phylogenetic tree | |
| dc.title | Level sets of depth measures in abstract spaces | |
| dc.type | Preprint | |
