@article{10902/27219,
year = {2022},
url = {https://hdl.handle.net/10902/27219},
abstract = {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 studying this depth function, we provide a series of properties for the statistical data depth with respect to compact convex random sets. These properties are an adaptation of properties that constitute the axiomatic notions of multivariate, functional, and fuzzy depth-functions and other well-known properties of depth.},
organization = {For L.G.-D.L.F. and A.N.-R., this research was supported by grant MTM2017-86061-C2-2-P funded by MCIN/AEI/10.13039/501100011033 and “ERDF A way of making Europe”. P.T. was supported by the Ministerio de Economía y Competitividad grant MTM2015-63971-P, the Ministerio de Ciencia, Innovación y Universidades grant PID2019-104486GB-I00, and the Consejería de Empleo, Industria y Turismo del Principado de Asturias grant GRUPIN-IDI2018-000132.},
publisher = {MDPI},
publisher = {Mathematics, 2022, 10(15), 2758},
title = {Properties of Statistical Depth with Respect to Compact Convex Random Sets: The Tukey Depth},
author = {González de la Fuente, Luis and Nieto Reyes, Alicia and Terán, Pedro},
}