q-Calculus Formalism for Non-extensive Particle Filter

DOI10.1007/978-3-030-16077-7_3zbMath1442.62185OpenAlexW2963321611MaRDI QIDQ3294803

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Publication date: 29 June 2020

Published in: Integral Methods in Science and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-030-16077-7_3

zbMATH Keywords

sequential Monte Carlo estimation\(q\)-calculus formalismLevy-Gnedenko central limit theoremnon-extensive particle filter

Mathematics Subject Classification ID

Inference from stochastic processes and prediction (62M20) Central limit and other weak theorems (60F05) Monte Carlo methods (65C05) Sequential estimation (62L12)

Cites Work

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• On a \(q\) -central limit theorem consistent with nonextensive statistical mechanics
• Statistical and computational inverse problems.
• Possible generalization of Boltzmann-Gibbs statistics.
• Adaptive Particle Filter for Stable Distribution
• A Method for q-Calculus
• The q-Gradient Vector for Unconstrained Continuous Optimization Problems
• Quantum calculus

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