English

A Lecture About the Use of Orlicz Spaces in Information Geometry

Statistics Theory 2021-02-02 v2 Statistics Theory

Abstract

This is a revised version of a tutorial lecture that I presented at the \`Ecole de Physique des Houches on July 26-31 2020. Topics include Non-parametric Information Geometry, the Statistical bundle, exponential Orlicz spaces, and Gaussian Orlicz-Sobolev spaces.

Keywords

Cite

@article{arxiv.2012.03376,
  title  = {A Lecture About the Use of Orlicz Spaces in Information Geometry},
  author = {Giovanni Pistone},
  journal= {arXiv preprint arXiv:2012.03376},
  year   = {2021}
}

Comments

Minor revision of version 1. Submitted