Abstract
In [1], we have discussed the mutual information of two random variables and how it can be obtained from entropies. We considered the Shannon entropy and the nonadditive Tsallis entropy. Here, following the same approach used in the Tsallis case, we propose a method for discussing the mutual entropy of another nonadditive entropy, the Kaniadakis entropy.
Highlights
In the Ref.1, we are discussing mutual information of two random variables and how it can be calculated from entropies
The calculus is quite simple in the case of Shannon entropy, whereas, for the nonadditive Tsallis entropy, it requires some caution
Following the same approach used for the Tsallis entropy, we propose a method for discussing the case concerning another nonadditive entropy, the Kaniadakis entropy, and determine its mutual entropy
Summary
In the Ref.1, we are discussing mutual information of two random variables and how it can be calculated from entropies. The calculus is quite simple in the case of Shannon entropy, whereas, for the nonadditive Tsallis entropy, it requires some caution. Following the same approach used for the Tsallis entropy, we propose a method for discussing the case concerning another nonadditive entropy, the Kaniadakis entropy, and determine its mutual entropy. As q approaches 1, the Tsallis entropy becomes the Shannon entropy.
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