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Entropy 2004, 6(4), 364-374; doi:10.3390/e6040364
Article

On a simple derivation of a family of nonextensive entropies from information content

Received: 1 June 2004; Accepted: 31 July 2004 / Published: 1 August 2004
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Abstract: The nonextensive entropy of Tsallis can be seen as a consequence of postulates on a self-information, i.e., the constant ratio of the first derivative of a self-information per unit probability to the curvature (second variation) of it. This constancy holds if we regard the probability distribution as the gradient of a self-information. Considering the form of the nth derivative of a self-information with keeping this constant ratio, we arrive at the general class of nonextensive entropies. Some properties on the series of entropies constructed by this picture are investigated.
Keywords: information theory; nonadditive entropy; information content information theory; nonadditive entropy; information content
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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MDPI and ACS Style

Yamano, T. On a simple derivation of a family of nonextensive entropies from information content. Entropy 2004, 6, 364-374.

AMA Style

Yamano T. On a simple derivation of a family of nonextensive entropies from information content. Entropy. 2004; 6(4):364-374.

Chicago/Turabian Style

Yamano, Takuya. 2004. "On a simple derivation of a family of nonextensive entropies from information content." Entropy 6, no. 4: 364-374.


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