加权Tsallis和Kaniadakis散度的一些性质。
Some Properties of Weighted Tsallis and Kaniadakis Divergences.
作者信息
Sfetcu Răzvan-Cornel, Sfetcu Sorina-Cezarina, Preda Vasile
机构信息
Faculty of Mathematics and Computer Science, University of Bucharest, Str. Academiei 14, 010014 Bucharest, Romania.
"Gheorghe Mihoc-Caius Iacob" Institute of Mathematical Statistics and Applied Mathematics, Calea 13 Septembrie 13, 050711 Bucharest, Romania.
出版信息
Entropy (Basel). 2022 Nov 5;24(11):1616. doi: 10.3390/e24111616.
We are concerned with the weighted Tsallis and Kaniadakis divergences between two measures. More precisely, we find inequalities between these divergences and Tsallis and Kaniadakis logarithms, prove that they are limited by similar bounds with those that limit Kullback-Leibler divergence and show that are pseudo-additive.
我们关注的是两种测度之间的加权Tsallis散度和Kaniadakis散度。更确切地说，我们找到了这些散度与Tsallis对数和Kaniadakis对数之间的不等式，证明它们受到与限制Kullback-Leibler散度的界类似的界的限制，并表明它们是伪可加的。
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