A Survey of Multidimensional Medians
A Survey of Multidimensional Medians
复制标题
DOI：
10.2307/1403809
复制
发表时间：
1990-12
影响因子：
2
通讯作者：
C. Small
中科院分区：
文献类型：
--
作者：
C. Small
在本文中，我们调查了一系列的文件，其主要目的是推广的概念，中位数到高维设置。虽然多变量数据集的中位数可能有各种不同的定义，但这些定义在应用于单变量数据或单变量分布时具有产生通常定义的共同性质。讨论了等方差、对称性和击穿的一些常见概念，以及每个定义的计算方便性。这些想法的延伸方向统计进行了讨论。
In this paper we survey a sequence of papers whose primary aim is the generalization of the concept of the median into higher dimensional settings. While a variety of distinct definitions of the median of a multivariate data set are possible these definitions have the common property of producing the usual definition when applied to univariate data or a univariate distribution. Some common ideas of equivariance, symmetry and breakdown are discussed as well as computational convenience for each definition. The extension of these ideas to directional statistics is also discussed.