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math.ST2024
Projection depth and -type depths for fuzzy random variables
Luis González-De La Fuente, Alicia Nieto-Reyes, Pedro Terán
Statistical depth functions are a standard tool in nonparametric statistics to extend order-based univariate methods to the multivariate setting. Since there is no universally acce…
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,…