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, we provide a series of properties for 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.

翻译：我们研究紧凑的锥形随机组别的统计数据深度,这些组别与多变量的金字塔基深度和模糊组别中的金字塔基深度相一致。在研究时,我们为紧凑的锥形随机组别的统计数据深度提供了一系列属性。这些属性是对构成多变量、功能和模糊深度功能的不言理概念和其他已知深度特性的属性的调整。