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arxiv: 1201.1096 · v1 · pith:F7MTHVHJnew · submitted 2012-01-05 · 💻 cs.IT · math.IT

Gibbs-Shannon Entropy and Related Measures: Tsallis Entropy

classification 💻 cs.IT math.IT
keywords entropymeasuresgibbs-shannonresearchtsallisapproximationchanneldiscrete
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In this research paper, it is proved that an approximation to Gibbs-Shannon entropy measure naturally leads to Tsallis entropy for the real parameter q =2 . Several interesting measures based on the input as well as output of a discrete memoryless channel are provided and some of the properties of those measures are discussed. It is expected that these results will be of utility in Information Theoretic research.

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