3 papers
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…
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,…