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.ME2025
seMCD: Sequentially implemented Monte Carlo depth computation with statistical guarantees
Felix Gnettner, Claudia Kirch, Alicia Nieto-Reyes
Statistical depth functions provide center-outward orderings in spaces of dimension larger than one, where a natural ordering does not exist. The numerical evaluation of such depth…
math.ST2023
Statistical depth and support medians for fuzzy data
Luis González-De La Fuente, Alicia Nieto-Reyes, Pedro Terán
Statistical depth functions order the elements of a space with respect to their centrality in a probability distribution or dataset. Since many depth functions are maximized in the…