On two properties of the Fisher information
Analysis of PDEs
2020-08-26 v3 Mathematical Physics
math.MP
Abstract
Alternative proofs for the superadditivity and the affinity (in the large system limit) of the usual and some fractional Fisher informations of a probability density of many variables are provided. They are consequences of the fact that such informations can be interpreted as quantum kinetic energies.
Keywords
Cite
@article{arxiv.1912.03150,
title = {On two properties of the Fisher information},
author = {Nicolas Rougerie},
journal= {arXiv preprint arXiv:1912.03150},
year = {2020}
}
Comments
Revised version