The limit distribution in theq-CLT for $q\,\geqslant \,1$ is unique and can not have a compact support

DOI10.1088/1751-8113/49/41/415204zbMath1355.60033arXiv1609.02425OpenAlexW3124189155MaRDI QIDQ2832462

Sabir R. Umarov, Constantino Tsallis

Publication date: 11 November 2016

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1609.02425

zbMATH Keywords

\(q\)-Gaussianinvariance principle\(q\)-Fourier transform\(q\)-central limit theorem

Mathematics Subject Classification ID

Asymptotic distribution theory in statistics (62E20) Central limit and other weak theorems (60F05) Functional limit theorems; invariance principles (60F17)

Related Items

\(\kappa\)-deformed Fourier transform