Level sets of depth measures in abstract spaces

 

Autor(es):

Cholaquidis, Alejandro ; Fraiman, Ricardo ; Moreno, Leonardo

Tipo:

Preprint

Versión:

Enviado

Financiadores:

ANII: FCE_1_2019_1_156054

Resumen:

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

Año:

2021

Idioma:

Inglés

Temas:

Depth measures
Lens depth
Level sets
Metric spaces
Phylogenetic tree

Institución:

Universidad de la República

Repositorio:

COLIBRI

Enlace(s):

https://hdl.handle.net/20.500.12008/37373

Nivel de acceso:

Acceso abierto