Barycenter and maximum likelihood
type: Item
instance of: scholarly article
title: Barycenter and maximum likelihood
zbMATH Open document ID: 1109.53055
author: Ruedi Flüge
author: Ernst A. Ruh
published in: Differential Geometry and its Applications
publication date: 2007-02-13T00:00:00Z
full work available at URL: ruh bml.pdf
review text: The authors refine recent existence and uniqueness results, for the barycenter of points at infinity of Hadamard manifolds, to measures on the infinity of symmetric spaces of non compact type and, more specifically, to measures concentrated on single orbits. The barycenter is interpreted as the maximum likelihood estimate of generalized Cauchy distributions on Furstenberg boundaries. Also, the authors give a new proof of the general Knight-Meyer characterization theorem.
Mathematics Subject Classification ID: 53C35
Mathematics Subject Classification ID: 53C30
Mathematics Subject Classification ID: 14M15
Mathematics Subject Classification ID: 62H12
zbMATH DE Number: 5125303
zbMATH Keywords: barycenter
zbMATH Keywords: Furstenberg boundaries
zbMATH Keywords: Bruhat lemma
zbMATH Keywords: Cauchy distribution
zbMATH Keywords: maximum likelihood estimate
reviewed by: Sergei S. Platonov
MaRDI profile type: Publication
OpenAlex ID: W2070700710
Wikidata QID: Q115357803
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DOI: 10.1016/J.DIFGEO.2006.08.009
description: scientific article; zbMATH DE number 5125303