The confidence interval of q-Gaussian distributions

DOI10.1080/03610926.2021.1974482OpenAlexW3197987574MaRDI QIDQ6107528

Ben Salah Nahla, Masmoudi Afif

Publication date: 3 July 2023

Published in: Communications in Statistics - Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03610926.2021.1974482

zbMATH Keywords

\(q\)-Gaussian distribution\(q\)-Laplace transform\(q\)-moments\(q\)-confidence interval\(q\)-estimator

Mathematics Subject Classification ID

Statistics (62-XX)

Cites Work

• On a \(q\) -central limit theorem consistent with nonextensive statistical mechanics
• Reflections on the \(q\)-Fourier transform and the \(q\)-Gaussian function
• Note on aq-modified central limit theorem
• Introduction to Nonextensive Statistical Mechanics
• Escort mean values and the characterization of power-law-decaying probability densities
• On the maximum entropy principle and the minimization of the Fisher information in Tsallis statistics
• Generalized convolution product of an infinitely divisible distribution and a Bernoulli distribution
• Generalization of symmetric α-stable Lévy distributions for q>1
• Functional differential equations for theq-Fourier transform ofq-Gaussians
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