Imprecise probability through \(f\)-probability and its statistical physical implications

DOI10.1016/J.CHAOS.2020.110020zbMath1490.60009OpenAlexW3040868950MaRDI QIDQ2122953

Won-Sang Chung, Abdullah Algin

Publication date: 7 April 2022

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.chaos.2020.110020

zbMATH Keywords

nonlinear dynamicscomplex systemsuncertainty measuresimprecise probabilitiesfoundations of probabilitydeformed calculusnon-extensivity

Mathematics Subject Classification ID

Probabilistic measure theory (60A10) Axioms; other general questions in probability (60A05)

Cites Work

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• Twisted second quantization
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• Generalized algebra within a nonextensive statistics
• Towards a unified theory of imprecise probability
• Possible generalization of Boltzmann-Gibbs statistics.
• Nonextensive physics: A possible connection between generalized statistical mechanics and quantum groups
• Random sets, \(q\)-distributions and quantum groups.
• Imprecise probability trees: bridging two theories of imprecise probability
• On q-analogues of the quantum harmonic oscillator and the quantum group SU(2)_q
• The quantum group SU_q(2) and a q-analogue of the boson operators
• Introduction to Nonextensive Statistical Mechanics
• International Encyclopedia of Statistical Science
• A (p, q)-oscillator realization of two-parameter quantum algebras
• Hilbert spaces of analytic functions and generalized coherent states
• Quantum group invariant, nonextensive quantum statistical mechanics
• \(q\)-deformed structures and nonextensive statistics: a comparative study

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