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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…
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…