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Results tagged with entropy
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user 43088
5
votes
Accepted
Higher moments of information and Renyi entropy
Matthews, "Entropy and Higher Moments of Information", Journal of Universal Computer Science vol 16, nr. 5 (2010)
which is available here, the authors introduce the higher moments of information of memoryless … They move from the Shannon entropy formalism to more general entropies in section 7. …
- 326
6
votes
0
answers
206
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$q$-deformations of fundamental equation of information and entropies
$q$-deformations of Shannon entropy
Let $q\in\mathbb R-\{1\}$ and $x>0$. … x \ln_q \frac{1}{x}+ (1-x)\ln_q \frac{1}{1-x} $$
and the $q$-Rényi entropy
$$R_q(x)= \ln e_q(S_q(x)). $$
Both $q$ entropies are deformations of Shannon entropy, as
$$\lim_{q\rightarrow 1}S_q(x)=\lim …
- 326