A Possible Extension of Shannon\'s Information Theory

doi:10.3390/e3040280

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Entropy 2001, 3(4), 280-292; doi:10.3390/e3040280

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A Possible Extension of Shannon\'s Information Theory

Takuya Yamano ^1,2

¹ Institut für Theoretische Physik, Universität zu Köln, Zülpicher Str.77, D-50937 Köln, Germany ² Department of Applied Physics, Faculty of Science, Tokyo Institute of Technology, Oh-okayama, Meguro-ku, Tokyo,152-8551, Japan

Received: 7 August 2001 / Accepted: 21 October 2001 / Published: 21 November 2001

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Abstract: As a possible generalization of Shannon\'s information theory, we review the formalism based on the non-logarithmic information content parametrized by a real number q, which exhibits nonadditivity of the associated uncertainty. Moreover it is shown that the establishment of the concept of the mutual information is of importance upon the generalization.

Keywords: information theory; Tsallis entropy; nonadditivity; source coding theorem; mutual information

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MDPI and ACS Style

Yamano, T. A Possible Extension of Shannon\'s Information Theory. Entropy 2001, 3, 280-292.

AMA Style

Yamano T. A Possible Extension of Shannon\'s Information Theory. Entropy. 2001; 3(4):280-292.

Chicago/Turabian Style

Yamano, Takuya. 2001. "A Possible Extension of Shannon\'s Information Theory." Entropy 3, no. 4: 280-292.

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