论文标题
相对于紧凑型凸随机集的统计深度的性质。 Tukey深度
Properties of statistical depth with respect to compact convex random sets. The Tukey depth
论文作者
论文摘要
我们研究了与紧凑型凸随机集有关的统计数据深度,该集合与多元Tukey深度和模糊集的Tukey深度一致。这样,我们就紧凑型凸随机集提供了一系列统计数据深度的属性。这些特性是构成多元,功能和模糊深度函数的公理概念以及深度的其他众所周知的特性的适应性。
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.