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New Information Measures for the Generalized Normal Distribution
Information, 2010 We introduce a three-parameter generalized normal distribution, which belongs to the Kotz type distribution family, to study the generalized entropy type measures of information. For this generalized normal, the Kullback-Leibler information is evaluated,
Christos P. Kitsos, Thomas L. Toulias
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A Characterization of Entropy in Terms of Information Loss
Entropy, 2011 There are numerous characterizations of Shannon entropy and Tsallis entropy as measures of information obeying certain properties. Using work by Faddeev and Furuichi, we derive a very simple characterization.
Tom Leinster, John C. Baez, Tobias Fritz
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PLoS ONE, 2015 Shannon entropy H and related measures are increasingly used in molecular ecology and population genetics because (1) unlike measures based on heterozygosity or allele number, these measures weigh alleles in proportion to their population fraction, thus ...
Anne Chao +5 more
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Permutation Complexity and Coupling Measures in Hidden Markov Models
Entropy, 2013 Recently, the duality between values (words) and orderings (permutations) has been proposed by the authors as a basis to discuss the relationship between information theoretic measures for finite-alphabet stationary stochastic processes and their ...
Taichi Haruna, Kohei Nakajima
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Generalizing Information to the Evolution of Rational Belief
Entropy, 2020 Information theory provides a mathematical foundation to measure uncertainty in belief. Belief is represented by a probability distribution that captures our understanding of an outcome’s plausibility.
Jed A. Duersch, Thomas A. Catanach
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Empirical Estimation of Information Measures: A Literature Guide
Entropy, 2019 We give a brief survey of the literature on the empirical estimation of entropy, differential entropy, relative entropy, mutual information and related information measures.
Sergio Verdú
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Shannon entropy and complexity measures for Bohr Hamiltonian with triaxial nuclei
Results in Physics, 2022 The Shannon entropy, disequilibrium, and complexity measures for n=0,1 in position and momentum space are investigated within the framework of Bohr Hamiltonian for triaxial nuclei with Davidson potential. The effect of the angular momentum quantum number
P.O. Amadi +8 more
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A modified belief entropy in Dempster-Shafer framework. [PDF]
PLoS ONE, 2017 How to quantify the uncertain information in the framework of Dempster-Shafer evidence theory is still an open issue. Quite a few uncertainty measures have been proposed in Dempster-Shafer framework, however, the existing studies mainly focus on the mass
Deyun Zhou, Yongchuan Tang, Wen Jiang
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Entropy, information and quantum measurements [PDF]
Communications in Mathematical Physics, 1973 The conditional entropy between two states of a quantum system is shown to be nonincreasing when a complete measurement is performed on the system. The information between two quantum systems is defined and is shown to be bounded above by the logarithmic correlation. This inequality is then applied to the measurement process. The entropy changes in the
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On computation of information entropy measures for certain fractal molecular architectures
Frontiers in ChemistryFractal molecular structures constitute a distinct category of systems characterized by self-similarity and hierarchical growth patterns, which can be effectively examined by graph-theoretical methods.
S. Roy +2 more
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