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Multi-Additivity in Kaniadakis Entropy.
- Source :
- Entropy; Jan2024, Vol. 26 Issue 1, p77, 14p
- Publication Year :
- 2024
-
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., S κ [ p A ∪ B ] = (1 + ℵ) S κ [ p A ] + S κ [ p B ] , under the composition of two statistically independent and identically distributed distributions p A ∪ B (x , y) = p A (x) p B (y) , with reduced distributions p A (x) and p B (y) belonging to the same class. [ABSTRACT FROM AUTHOR]
- Subjects :
- REAL numbers
ENTROPY
TOPOLOGICAL entropy
Subjects
Details
- Language :
- English
- ISSN :
- 10994300
- Volume :
- 26
- Issue :
- 1
- Database :
- Complementary Index
- Journal :
- Entropy
- Publication Type :
- Academic Journal
- Accession number :
- 175047927
- Full Text :
- https://doi.org/10.3390/e26010077