On statistical properties of Jizba–Arimitsu hybrid entropy
Physica A: Statistical Mechanics and its Applications, cilt.475, ss.1-10, 2017 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 475
- Basım Tarihi: 2017
- Doi Numarası: 10.1016/j.physa.2017.02.009
- Dergi Adı: Physica A: Statistical Mechanics and its Applications
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Sayfa Sayıları: ss.1-10
- Anahtar Kelimeler: Continuous entropy, Information divergence, Jizba–Arimitsu hybrid entropy, MaxEnt, Non-extensive thermodynamics
- Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
- Uşak Üniversitesi Adresli: Evet
Özet
Jizba–Arimitsu entropy (also called hybrid entropy) combines axiomatics of Rényi 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 Rényi and Tsallis entropy. This motivates us to introduce average hybrid entropy, which can be understood as an average between Tsallis and Rényi entropy.