Faculté des sciences

## Barycenter and maximum likelihood

### In: Differential Geometry and its Applications, 2006, vol. 24, no. 6, p. 660-669

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.... More