The Cauchy Distribution in Information Theory

The Gaussian law reigns supreme in the information theory of analog random variables. This paper showcases a number of information theoretic results which find elegant counterparts for Cauchy distributions. New concepts such as that of equivalent pairs of probability measures and the strength of rea...

Descripción completa

Detalles Bibliográficos
Autor principal: Verdú, Sergio
Formato: Online Artículo Texto
Lenguaje:English
Publicado: MDPI 2023
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9955388/
https://www.ncbi.nlm.nih.gov/pubmed/36832712
http://dx.doi.org/10.3390/e25020346
_version_ 1784894333696081920
author Verdú, Sergio
author_facet Verdú, Sergio
author_sort Verdú, Sergio
collection PubMed
description The Gaussian law reigns supreme in the information theory of analog random variables. This paper showcases a number of information theoretic results which find elegant counterparts for Cauchy distributions. New concepts such as that of equivalent pairs of probability measures and the strength of real-valued random variables are introduced here and shown to be of particular relevance to Cauchy distributions.
format Online
Article
Text
id pubmed-9955388
institution National Center for Biotechnology Information
language English
publishDate 2023
publisher MDPI
record_format MEDLINE/PubMed
spelling pubmed-99553882023-02-25 The Cauchy Distribution in Information Theory Verdú, Sergio Entropy (Basel) Article The Gaussian law reigns supreme in the information theory of analog random variables. This paper showcases a number of information theoretic results which find elegant counterparts for Cauchy distributions. New concepts such as that of equivalent pairs of probability measures and the strength of real-valued random variables are introduced here and shown to be of particular relevance to Cauchy distributions. MDPI 2023-02-13 /pmc/articles/PMC9955388/ /pubmed/36832712 http://dx.doi.org/10.3390/e25020346 Text en © 2023 by the author. https://creativecommons.org/licenses/by/4.0/Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https://creativecommons.org/licenses/by/4.0/).
spellingShingle Article
Verdú, Sergio
The Cauchy Distribution in Information Theory
title The Cauchy Distribution in Information Theory
title_full The Cauchy Distribution in Information Theory
title_fullStr The Cauchy Distribution in Information Theory
title_full_unstemmed The Cauchy Distribution in Information Theory
title_short The Cauchy Distribution in Information Theory
title_sort cauchy distribution in information theory
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9955388/
https://www.ncbi.nlm.nih.gov/pubmed/36832712
http://dx.doi.org/10.3390/e25020346
work_keys_str_mv AT verdusergio thecauchydistributionininformationtheory
AT verdusergio cauchydistributionininformationtheory

Ejemplares similares