Barycenter and maximum likelihood
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.
scientific article; zbMATH DE number 5125303