A Riemannian Geometry in the q-Exponential Banach Manifold induced by q-Divergences.

For the family of non-parametric q-exponential statistical models, in a former paper, written by the same authors, a differentiable Banach manifold modelled on Lebesgue spaces of real random variables has been built. In this paper, the geometry induced on this manifold is characterized by q-divergen...