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Relations Between Tsallis and Kaniadakis Entropic Measures and Rigorous Discussion of Conditional Kaniadakis Entropy

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  • Amelia Carolina Sparavigna

Abstract

Tsallis and Kaniadakis entropies are generalizing the Shannon entropy and have it as their limit when their entropic indices approach specific values. Here we show some relations existing between Tsallis and Kaniadakis entropies. We will also propose a rigorous discussion of the conditional Kaniadakis entropy, deduced from these relations.

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  • Amelia Carolina Sparavigna, 2015. "Relations Between Tsallis and Kaniadakis Entropic Measures and Rigorous Discussion of Conditional Kaniadakis Entropy," International Journal of Sciences, Office ijSciences, vol. 4(10), pages 47-50, October.
    • Handle: RePEc:adm:journl:v:4:y:2015:i:10:p:47-50
    DOI: 10.18483/ijSci.866
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    References listed on IDEAS

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    1. Kaniadakis, G., 2001. "Non-linear kinetics underlying generalized statistics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 296(3), pages 405-425.
    2. Amelia Carolina Sparavigna, 2015. "Mutual Information and Nonadditive Entropies: A Method for Kaniadakis Entropy," International Journal of Sciences, Office ijSciences, vol. 4(10), pages 5-8, October.
    3. Amelia Carolina Sparavigna, 2015. "On The Generalized Additivity Of Kaniadakis Entropy," International Journal of Sciences, Office ijSciences, vol. 4(02), pages 44-48, February.
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    Cited by:

    1. Amelia Carolina Sparavigna, 2019. "Composition Operations of Generalized Entropies Applied to the Study of Numbers," International Journal of Sciences, Office ijSciences, vol. 8(04), pages 87-92, April.
    2. Amelia Carolina Sparavigna, 2015. "Tsallis and Kaniadakis Entropic Measures in Polytropic, Logarithmic and Exponential Functions," International Journal of Sciences, Office ijSciences, vol. 4(11), pages 1-4, November.

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    Keywords

    Entropy; Generalized Entropies;

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