Flüge, Ruedi Ruh, Ernst A. 2006-12-12 We refine recent existence and uniqueness results, for the barycenter of points at infinity of Hadamard manifolds, to measures on the sphere at infinity of symmetric spaces of non compact type and, more specifically, to measures concentrated on single orbits. The barycenter will be interpreted as the maximum likelihood estimate (MLE) of generalized Cauchy distributions on Furstenberg boundaries. As a spin-off, a new proof of the general Knight–Meyer characterization theorem will be given. application/pdf https://folia.unifr.ch/global/documents/300348 https://folia.unifr.ch/documents/300348/files/ruh_bml.pdf eng info:eu-repo/semantics/altIdentifier/doi/10.1016/j.difgeo.2006.08.009 info:eu-repo/semantics/openAccess License undefined Differential Geometry and its Applications. - 2006, vol. 24, no. 6, p. 660-669 Barycenter Furstenberg boundaries Bruhat Lemma Cauchy distribution Maximum likelihood estimate MSC: 53C35 53C30 14M15 62H12 info:eu-repo/classification/udc/51 Barycenter and maximum likelihood http://purl.org/coar/resource_type/c_6501