On the Connections of Generalized Entropies With Shannon and Kolmogorov–Sinai Entropies
| Autor: | Fryderyk Falniowski |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2014 |
| Předmět: | |
| Zdroj: | Entropy, Vol 16, Iss 7, Pp 3732-3753 (2014) |
| Druh dokumentu: | article |
| ISSN: | 1099-4300 |
| DOI: | 10.3390/e16073732 |
| Popis: | We consider the concept of generalized Kolmogorov–Sinai entropy, where instead of the Shannon entropy function, we consider an arbitrary concave function defined on the unit interval, vanishing in the origin. Under mild assumptions on this function, we show that this isomorphism invariant is linearly dependent on the Kolmogorov–Sinai entropy. |
| Databáze: | Directory of Open Access Journals |
| Externí odkaz: |
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