Teixeira Andreia, Souto André, Antunes Luís
CINTESIS-Centre for Health Technology and Services Research, Faculty of Medicine, University of Porto, 4200-450 Porto, Portugal.
MEDCIDS-Department of Community Medicine, Information and Decision in Health, Faculty of Medicine, University of Porto, 4200-450 Porto, Portugal.
Entropy (Basel). 2021 Oct 29;23(11):1427. doi: 10.3390/e23111427.
There is no generally accepted definition for conditional Tsallis entropy. The standard definition of (unconditional) Tsallis entropy depends on a parameter α that converges to the Shannon entropy as α approaches 1. In this paper, we describe three proposed definitions of conditional Tsallis entropy suggested in the literature-their properties are studied and their values, as a function of α, are compared. We also consider another natural proposal for conditional Tsallis entropy and compare it with the existing ones. Lastly, we present an online tool to compute the four conditional Tsallis entropies, given the probability distributions and the value of the parameter α.
对于条件Tsallis熵，目前尚无普遍接受的定义。（无条件）Tsallis熵的标准定义取决于一个参数α，当α趋近于1时，它会收敛到香农熵。在本文中，我们描述了文献中提出的三种条件Tsallis熵的定义——研究了它们的性质，并比较了它们作为α的函数的值。我们还考虑了另一种关于条件Tsallis熵的自然提议，并将其与现有的定义进行比较。最后，我们给出了一个在线工具，用于在给定概率分布和参数α值的情况下计算四种条件Tsallis熵。
