A class of non-parametric deformed exponential statistical models
Statistics Theory
2018-07-02 v3 Probability
Statistics Theory
Abstract
We study the class on non-parametric deformed statistical models where the deformed exponential has linear growth at infinity and is sub-exponential at zero. This class generalizes the class introduced by N.J.~Newton. We discuss the convexity and regularity of the normalization operator, the form of the deformed statistical divergences and their convex duality, the properties of the escort densities, and the affine manifold structure of the statistical bundle.
Keywords
Cite
@article{arxiv.1709.01430,
title = {A class of non-parametric deformed exponential statistical models},
author = {Luigi Montrucchio and Giovanni Pistone},
journal= {arXiv preprint arXiv:1709.01430},
year = {2018}
}
Comments
Revised submission to proceedings GSI 2017 Conference, Paris