κ-exponential models from the geometrical viewpoint

الأصل · EN

We discuss the use of Kaniadakis' κ-exponential in the construction of a statistical manifold modelled on Lebesgue spaces of real random variables. Some algebraic features of the deformed exponential models are considered. A chart is defined for each strictly positive densities; every other strictly positive density in a suitable neighborhood of the reference probability is represented by the centered likelihood