Properties of Statistical Depth with Respect to Compact Convex Random Sets: The Tukey Depth

Properties of Statistical Depth with Respect to Compact Convex Random Sets: The Tukey Depth

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 addition, it provides a different perspective to the existing halfspace depth with respect to compact convex random sets. In stud...

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Bibliographic Details
Main Authors: Luis González-De La Fuente, Alicia Nieto-Reyes, Pedro Terán
Format: Article
Language:English
Published: MDPI AG 2022-08-01
Series:Mathematics
Subjects:
compact convex set
halfspace depth
statistical depth function
symmetry
Online Access:https://www.mdpi.com/2227-7390/10/15/2758

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