Asymptotic data analysis on manifolds

• 成果类型: Article
• 署名作者: Hendriks, Harrie; Landsman, Zinoviy
• 署名单位: Radboud University Nijmegen; University of Haifa
• 刊物名称: ANNALS OF STATISTICS
• ISSN/ISSBN: 0090-5364
• DOI: 10.1214/009053606000000993
• 发表日期: 2007
• 页码: 109-131
• 关键词: sample-mean location; BEHAVIOR

摘要

Given an m-dimensional compact submanifold M of Euclidean space R-s, the concept of mean location of a distribution, related to mean or expected vector, is generalized to more general R-s-valued functionals including median location, which is derived from the spatial median. The asymptotic statistical inference for general functionals of distributions on such submanifolds is elaborated. Convergence properties are studied in relation to the behavior of the underlying distributions with respect to the cutlocus. An application is given in the context of independent, but not identically distributed, samples, in particular, to a multisample setup.