Barycenter and maximum likelihood
- Flüge, Ruedi Department of Mathematics, University of Fribourg, Switzerland
- Ruh, Ernst A. Department of Mathematics, University of Fribourg, Switzerland
-
12.12.2006
Published in:
- 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
English
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.
- Faculty
- Faculté des sciences et de médecine
- Department
- Département de Mathématiques
- Language
-
- English
- Classification
- Mathematics
- License
- License undefined
- Identifiers
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- RERO DOC 7849
- DOI 10.1016/j.difgeo.2006.08.009
- Persistent URL
- https://folia.unifr.ch/unifr/documents/300348
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