A two-parameter entropy and its fundamental properties
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arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2019
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| _version_ | 1866916230165692416 |
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| author | Dutta, Supriyo Furuichi, Shigeru Guha, Partha |
| author_facet | Dutta, Supriyo Furuichi, Shigeru Guha, Partha |
| contents | This article proposes a new two-parameter generalized entropy, which can be reduced to the Tsallis and the Shannon entropy 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 the Shannon entropy. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1908_01696 |
| institution | arXiv |
| publishDate | 2019 |
| record_format | arxiv |
| spellingShingle | A two-parameter entropy and its fundamental properties Dutta, Supriyo Furuichi, Shigeru Guha, Partha Mathematical Physics Information Theory This article proposes a new two-parameter generalized entropy, which can be reduced to the Tsallis and the Shannon entropy 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 the Shannon entropy. |
| title | A two-parameter entropy and its fundamental properties |
| topic | Mathematical Physics Information Theory |
| url | https://arxiv.org/abs/1908.01696 |