ArticleEntropy (Basel, Switzerland)2024
Multi-Additivity in Kaniadakis Entropy.
Article in Entropy (Basel, Switzerland), 2024. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 3 papers.
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3 citing papers in PubMed.
- QuantumEntropy (Basel, Switzerland) · 2025Article
- Twenty Years of Kaniadakis Entropy: Current Trends and Future Perspectives.Entropy (Basel, Switzerland) · 2025Article
- Relativistic Roots ofEntropy (Basel, Switzerland) · 2024Article
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2 authors.
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Abstract
It is known that Kaniadakis entropy, a generalization of the Shannon-Boltzmann-Gibbs entropic form, is always super-additive for any bipartite statistically independent distributions. In this paper, we show that when imposing a suitable constraint, there exist classes of maximal entropy distributions labeled by a positive real number ℵ>0 that makes Kaniadakis entropy multi-additive, i.e., Sκ[pA∪B]=(1+ℵ)Sκ[pA]+Sκ[pB], under the composition of two statistically independent and identically distributed distributions pA∪B(x,y)=pA(x)pB(y), with reduced distributions pA(x) and pB(y) belonging to the same class.
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