$\kappa$-exponential models from the geometrical viewpoint
Statistics Theory
2015-05-13 v1 Probability
Statistics Theory
Abstract
We discuss the use of Kaniadakis' -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
Cite
@article{arxiv.0903.2012,
title = {$\kappa$-exponential models from the geometrical viewpoint},
author = {Giovanni Pistone},
journal= {arXiv preprint arXiv:0903.2012},
year = {2015}
}