On statistical properties of Jizba-Arimitsu hybrid entropy

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21340%2F17%3A00311442" target="_blank" >RIV/68407700:21340/17:00311442 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1016/j.physa.2017.02.009" target="_blank" >http://dx.doi.org/10.1016/j.physa.2017.02.009</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.physa.2017.02.009" target="_blank" >10.1016/j.physa.2017.02.009</a>

Result language
angličtina
Original language name
On statistical properties of Jizba-Arimitsu hybrid entropy
Original language description
Jizba-Arimitsu entropy (also called hybrid entropy) combines axiomatics of Renyi and Tsallis entropy. It has many common properties with them, on the other hand, some aspects as e.g., MaxEnt distributions, are different. In this paper, we discuss statistical properties of hybrid entropy. We define hybrid entropy for continuous distributions and its relation to discrete entropy. Additionally, definition of hybrid divergence and its connection to Fisher metric is also presented. Interestingly, Fisher metric connected to hybrid entropy differs from corresponding Fisher metrics of Renyi and Tsallis entropy. This motivates us to introduce average hybrid entropy, which can be understood as an average between Tsallis and Renyi entropy.
Czech name
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Czech description
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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/GF17-33812L" target="_blank" >GF17-33812L: An information-theoretical perspective on complex systems</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2017
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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