https://www.mdu.se/

mdu.sePublications
Change search
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf
Properties of Shannon and Rényi entropies of the Poisson distribution as the functions of intensity parameter
Taras Shevchenko National University of Kyiv.
Mälardalen University, School of Education, Culture and Communication, Educational Sciences and Mathematics.ORCID iD: 0000-0002-0139-0747
Mälardalen University, School of Education, Culture and Communication, Educational Sciences and Mathematics. Taras Shevchenko National University of Kyiv.ORCID iD: 0000-0002-6877-1800
Taras Shevchenko National University of Kyiv.
2024 (English)In: Nonlinear Analysis: Modelling and Control, ISSN 1392-5113, E-ISSN 2335-8963, Vol. 29, no 4, p. 802-815Article in journal (Refereed) Published
Abstract [en]

We consider two types of entropy, namely, Shannon and R & eacute;nyi entropies of the Poisson distribution, and establish their properties as the functions of intensity parameter. More precisely, we prove that both entropies increase with intensity. While for Shannon entropy the proof is comparatively simple, for R & eacute;nyi entropy, which depends on additional parameter alpha > 0, we can characterize it as nontrivial. The proof is based on application of Karamata’s inequality to the terms of Poisson distribution.

Place, publisher, year, edition, pages
Vilnius University Press , 2024. Vol. 29, no 4, p. 802-815
Keywords [en]
Shannon entropy, R & eacute, nyi entropy, Poisson distribution, Karamata’s inequality
National Category
Mathematics
Identifiers
URN: urn:nbn:se:mdh:diva-68138DOI: 10.15388/namc.2024.29.35560ISI: 001275011100010Scopus ID: 2-s2.0-85199638716OAI: oai:DiVA.org:mdh-68138DiVA, id: diva2:1887239
Available from: 2024-08-07 Created: 2024-08-07 Last updated: 2024-08-07Bibliographically approved

Open Access in DiVA

No full text in DiVA

Other links

Publisher's full textScopus

Authority records

Malyarenko, AnatoliyMishura, Yuliiya

Search in DiVA

By author/editor
Malyarenko, AnatoliyMishura, Yuliiya
By organisation
Educational Sciences and Mathematics
In the same journal
Nonlinear Analysis: Modelling and Control
Mathematics

Search outside of DiVA

GoogleGoogle Scholar

doi
urn-nbn

Altmetric score

doi
urn-nbn
Total: 37 hits
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf