Open AccessJournal Article
Axioms for a-entropy of a generalized probability scheme.
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This article is published in Kybernetika.The article was published on 1968-01-01 and is currently open access. It has received 37 citations till now. The article focuses on the topics: Entropy (information theory) & Construction of the real numbers.read more
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Asymptotically scale-invariant occupancy of phase space makes the entropy Sq extensive
TL;DR: It is conjecture that these mechanisms are deeply related to the very frequent emergence, in natural and artificial complex systems, of scale-free structures and to their connections with nonextensive statistical mechanics.
Book ChapterDOI
I. Nonextensive Statistical Mechanics and Thermodynamics: Historical Background and Present Status
TL;DR: In this paper, the authors present a review of the thermodynamic foundations of statistical mechanics and its thermodynamic implications, including theoretical, experimental and computational evidences and connections, as well as some perspectives for the future.
Journal ArticleDOI
The Nonadditive Entropy Sq and Its Applications in Physics and Elsewhere: Some Remarks
TL;DR: The nonadditive entropy Sq has been introduced in 1988 focusing on a generalization of Boltzmann–Gibbs (BG) statistical mechanics, and some relevant aspects of this entropy are reviewed and commented on.
Journal ArticleDOI
A unified index to measure ecological diversity and species rarity
Renio S. Mendes,Luiz Roberto Evangelista,Sidinei Magela Thomaz,Angelo Antonio Agostinho,Luiz Carlos Gomes +4 more
TL;DR: A family of diversity indices and evenness and its corresponding evenness, proposed here for the first time, show promise in ecology and indicate that the indices H, D, S, S q* , E and E q* are only part of a whole set of possibilities.
Journal ArticleDOI
Uncertainty of discrete stochastic systems: general theory and statistical inference
TL;DR: Asymptotic distributions of maximum likelihood estimates of uncertainties and uncertainty-related functions are derived, and asymptotically /spl alpha/-level Neyman-Pearson tests of hypotheses about these system characteristics are presented.