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Title: Tukey depth for compact and convex random sets Authors:  Luis Gonzalez-De La Fuente - University of Cantabria (Spain) [presenting]
Alicia Nieto-Reyes - Universidad de Cantabria (Spain)
Pedro Teran - Oviedo (Spain)
Abstract: The focus is on a statistical data depth with respect to compact convex random sets. It is consistent with the multivariate Tukey depth and the Tukey depth for fuzzy sets. It also provides a different perspective to an existing Tukey depth definition with respect to compact convex random sets. A series of properties are studied for the statistical data depth. These properties are based on the axiomatic notions of depth in multivariate, functional and fuzzy cases.