3 papers
math.ST2026
On the continuity of the Tukey depth function for fuzzy data
Luis González-De La Fuente, Alicia Nieto-Reyes, Pedro Terán
The practical use of statistical depth for fuzzy data requires regularity, inferential stability, and computational feasibility. This paper studies these aspects for the first time…
stat.ME2022
Simplicial depths for fuzzy random variables
Luis González-De La Fuente, Alicia Nieto-Reyes, Pedro Terán
The recently defined concept of a statistical depth function for fuzzy sets provides a theoretical framework for ordering fuzzy sets with respect to the distribution of a fuzzy ran…
math.ST2022
Properties of statistical depth with respect to compact convex random sets. The Tukey depth
Luis González-De La Fuente, Alicia Nieto-Reyes, Pedro Terán
We study a statistical data depth with respect to compact convex random sets which is consistent with the multivariate Tukey depth and the Tukey depth for fuzzy sets. In doing so,…