On boundary detection
- Autor(es):
- Aaron, Catherine ; Cholaquidis, Alejandro
- Tipo:
- Preprint
- Versión:
- Enviado
- Financiadores:
- ANII: FCE_1_2019_1_156054
- Resumen:
-
Given a sample of a random variable supported by a smooth compact manifold M⊂Rd, we propose a test to decide whether the boundary of M is empty or not with no preliminary support estimation. The test statistic is based on the maximal distance between a sample point and the average of its kn-nearest neighbors. We prove that the level of the test can be estimated, that, with probability one, its power is one for n large enough, and that there exists a consistent decision rule. Heuristics for choosing a convenient value for the kn parameter and identifying observations close to the boundary are also given. We provide a simulation study of the test.
- Año:
- 2019
- Idioma:
- Inglés
- Temas:
- Boundary
Geometric inference
Nearest-neighbors
Test
- Institución:
- Universidad de la República
- Repositorio:
- COLIBRI
- Enlace(s):
- https://hdl.handle.net/20.500.12008/37391
- Nivel de acceso:
- Acceso abierto