Weighted Relative Group Entropies and Associated Fisher Metrics

Autor: Vasile Preda, Iulia Elena Hirica, Cristina-Liliana Pripoae, Gabriel-Teodor Pripoae
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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