2007/02/01 by Harrie Hendriks, Zinoviy Landsman
Computer Science · Mathematics · #Advanced Statistical Methods and Models #Bayesian Methods and Mixture Models #Morphological variations and asymmetry #math.ST #msc:53A07 #msc:62G10 #msc:62G15 #msc:62H11 #stat.TH
paper · pdf · doi:10.1214/009053606000000993
published as Annals of Statistics 2007, Vol. 35, No. 1, 109-131 · Published at http://dx.doi.org/10.1214/009053606000000993 in the Annals of Statistics (http://www.imstat.org/aos/) by the Institute of Mathematical Statistics (http://www.imstat.org)
openalex publication_date 2007/02/01 · arxiv created 2007/08/03 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Given an m-dimensional compact submanifold M of Euclidean space Rs, the concept of mean location of a distribution, related to mean or expected vector, is generalized to more general Rs-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.