Geometry of q-Exponential Family of Probability Distributions
نویسندگان
چکیده
منابع مشابه
Geometry of q-Exponential Family of Probability Distributions
The Gibbs distribution of statistical physics is an exponential family of probability distributions, which has a mathematical basis of duality in the form of the Legendre transformation. Recent studies of complex systems have found lots of distributions obeying the power law rather than the standard Gibbs type distributions. The Tsallis q-entropy is a typical example capturing such phenomena. W...
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Academic Editors: Frédéric Barbaresco and Frank Nielsen Received: 26 October 2016; Accepted: 19 December 2016; Published: 25 December 2016 Abstract: In the theory of complex systems, long tailed probability distributions are often discussed. For such a probability distribution, a deformed expectation with respect to an escort distribution is more useful than the standard expectation. In this pa...
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ژورنال
عنوان ژورنال: Entropy
سال: 2011
ISSN: 1099-4300
DOI: 10.3390/e13061170