Laws of large numbers for q-dependent random variables and nonextensive statistical mechanics

DOI10.1142/S021797921750117XzbMath1371.82010OpenAlexW2599817084MaRDI QIDQ5363926

Marco A. S. Trindade

Publication date: 2 October 2017

Published in: International Journal of Modern Physics B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s021797921750117x

zbMATH Keywords

nonextensive statistical mechanicslaws of large numbers\(q\)-dependence

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Strong limit theorems (60F15) Classical equilibrium statistical mechanics (general) (82B05)

Cites Work

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• Asymptotics for dependent Bernoulli random variables
• On the laws of large numbers for nonnegative random variables
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• A note on q-weak law of large numbers
• Remark on the escort distribution representation of nonextensive statistical mechanics
• Some concepts of negative dependence
• A note on the almost sure convergence of sums of negatively dependent random variables
• Further developments on sufficient conditions for negative dependence of random variables.
• Possible generalization of Boltzmann-Gibbs statistics.
• Integration and Modern Analysis
• AN APPLICATION OF NONEXTENSIVE PARAMETER: THE NONEXTENSIVE GAS AND REAL GAS
• NONADDITIVE OPEN SYSTEMS AND THE PROBLEM OF CONSTRAINTS
• Introduction to Nonextensive Statistical Mechanics
• Law of Error in Tsallis Statistics
• Asymptotic Statistics
• Probability: A Graduate Course
• A basic course in probability theory

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