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Distinguishing noise from chaos.
TLDR
A representation space is introduced, to be called the complexity-entropy causality plane, which contains suitable functionals of the pertinent probability distribution, namely, the entropy of the system and an appropriate statistical complexity measure, respectively.
Information gain within nonextensive thermostatistics
TLDR
General properties of the Kullback information gain are studied and a consistent test for measuring the degree of correlation between random variables is proposed and the H-theorem is proved within the generalized context.
Central limit theorem and deformed exponentials
The central limit theorem (CLT) can be ranked among the most important ones in probability theory and statistics and plays an essential role in several basic and applied disciplines, notably in
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