Multidimensional medians arising from geodesics on graphs

• 成果类型: Article
• 署名作者: Small, CG
• 署名单位: University of Waterloo
• 刊物名称: ANNALS OF STATISTICS
• ISSN/ISSBN: 0090-5364
• 发表日期: 1997
• 页码: 478-494
• 关键词: directional-data; depth

摘要

In this paper we introduce a depth function for distributions on graphs that is analogous to recent multivariate definitions. Using the property of geodesic convexity on graphs, a median-like center for distributions on graphs is constructed and applied to ranking data as well as multivariate data spanned by the minimal spanning tree.