When Shannon and Khinchin meet Shore and Johnson: Equivalence of information theory and statistical inference axiomatics

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21340%2F20%3A00343768" target="_blank" >RIV/68407700:21340/20:00343768 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1103/PhysRevE.101.042126" target="_blank" >https://doi.org/10.1103/PhysRevE.101.042126</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1103/PhysRevE.101.042126" target="_blank" >10.1103/PhysRevE.101.042126</a>

Result language
angličtina
Original language name
When Shannon and Khinchin meet Shore and Johnson: Equivalence of information theory and statistical inference axiomatics
Original language description
We propose a unified framework for both Shannon-Khinchin and Shore-Johnson axiomatic systems. We do it by rephrasing Shannon-Khinchine axioms in terms of generalized arithmetics of Kolmogorov and Nagumo. We prove that the two axiomatic schemes yield identical classes of entropic functionals-the Uffink class of entropies. This allows to re-establish the entropic parallelism between information theory and statistical inference that has seemed to be "broken" by the use of non-Shannonian entropies.
Czech name
—
Czech description
—

Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
10300 - Physical sciences

Project
<a href="/en/project/GA19-16066S" target="_blank" >GA19-16066S: Nonlinear interactions and information transfer in complex systems with extreme events</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2020
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Similar results(10)