Abstract
This article proposes a new two-parameter generalized entropy, which can be reduced to the Tsallis and Shannon entropies for specific values of its parameters. We develop a number of information-theoretic properties of this generalized entropy and divergence, for instance, the sub-additive property, strong sub-additive property, joint convexity, and information monotonicity. This article presents an exposit investigation on the information-theoretic and information-geometric characteristics of the new generalized entropy and compare them with the properties of the Tsallis and Shannon entropies.
Original language | British English |
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Article number | 2130003 |
Journal | Reviews in Mathematical Physics |
Volume | 33 |
Issue number | 4 |
DOIs | |
State | Published - May 2021 |
Keywords
- chain rule
- Deformed logarithm
- information geometry
- relative entropy
- sub-additive property
- Tsallis entropy