Weighted Relative Group Entropies and Associated Fisher Metrics
Autor: | Vasile Preda, Iulia Elena Hirica, Cristina-Liliana Pripoae, Gabriel-Teodor Pripoae |
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Jazyk: | angličtina |
Rok vydání: | 2022 |
Předmět: | |
Zdroj: | Entropy; Volume 24; Issue 1; Pages: 120 Entropy, Vol 24, Iss 120, p 120 (2022) Entropy |
ISSN: | 1099-4300 |
DOI: | 10.3390/e24010120 |
Popis: | A large family of new α-weighted group entropy functionals is defined and associated Fisher-like metrics are considered. All these notions are well-suited semi-Riemannian tools for the geometrization of entropy-related statistical models, where they may act as sensitive controlling invariants. The main result of the paper establishes a link between such a metric and a canonical one. A sufficient condition is found, in order that the two metrics be conformal (or homothetic). In particular, we recover a recent result, established for α=1 and for non-weighted relative group entropies. Our conformality condition is “universal”, in the sense that it does not depend on the group exponential. |
Databáze: | OpenAIRE |
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