On the maximum entropy principle and the minimization of the Fisher information in Tsallis statistics
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Publication:3650872
DOI10.1063/1.3063640zbMath1189.82007arXiv1001.1383OpenAlexW1969859661MaRDI QIDQ3650872
Publication date: 7 December 2009
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1001.1383
Related Items (13)
Generalized wavelet Fisher's information of \(1 / f^\alpha\) signals ⋮ Inequalities related to some types of entropies and divergences ⋮ Some properties of generalized Fisher information in the context of nonextensive thermostatistics ⋮ Geometry of \(q\)-exponential family of probability distributions ⋮ Entropy -- a tale of ice and fire. (Review of some exceptional Tsallis indexes) ⋮ The confidence interval of q-Gaussian distributions ⋮ Fisher information and its extensions based on infinite mixture density functions ⋮ Cramér-Rao lower bounds arising from generalized Csiszár divergences ⋮ Deriving partition functions and entropic functionals from thermodynamics ⋮ Escort evolutionary game theory ⋮ Inequalities for Tsallis relative entropy and generalized skew information ⋮ An axiomatic characterization of a two-parameter extended relative entropy ⋮ On a (β, q)-generalized Fisher information and inequalities involving q-Gaussian distributions
Cites Work
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- On a \(q\) -central limit theorem consistent with nonextensive statistical mechanics
- Tsallis' entropy maximization procedure revisited
- Possible generalization of Boltzmann-Gibbs statistics.
- Fundamental properties of Tsallis relative entropy
- Information theoretical properties of Tsallis entropies
- Law of Error in Tsallis Statistics
- Nonextensive thermodynamic relations
- Heat and entropy in nonextensive thermodynamics: transmutation from Tsallis theory to Rényi-entropy-based theory
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