Nonparametric statistics on manifolds with applications to shape spaces

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/212656This article presents certain recent methodologies and some new results for the statistical analysis of probability distributions on manifolds. An important example considered in some detail here is the 2-D shape space of k-ads, comprising all configurations of $k$ planar landmarks ($k>2$)-modulo translation, scaling and rotation.Published in at http://dx.doi.org/10.1214/074921708000000200 the IMS Collections (http://www.imstat.org/publications/imscollections.htm) by the Institute of Mathematical Statistics (http://www.imstat.org)Geometric TopologyStatistics TheoryApplications62G20 (Primary) 62E20, 62H35 (Secondary)Nonparametric statistics on manifolds with applications to shape spacestext