Moment functions and central limit theorem for Jacobi hypergroups on \([0,\infty [\)

DOI10.1007/s10959-012-0465-9zbMath1350.60019OpenAlexW2083859372MaRDI QIDQ457105

Waldemar Grundmann

Publication date: 26 September 2014

Published in: Journal of Theoretical Probability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10959-012-0465-9

zbMATH Keywords

hyperbolic spacescentral limit theoremshypergroupsmoment functionsJacobi hypergroupsradial random walks

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Sums of independent random variables; random walks (60G50) Probability measures on groups or semigroups, Fourier transforms, factorization (60B15)

Related Items (1)

Central limit theorems for random walks associated with hypergeometric functions of type BC

Cites Work

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• Spaces with an abstract convolution of measures
• Random walks with spherical symmetry
• Laws of large numbers for polynomial hypergroups and some applications
• Central limit theorems for radial random walks on  matrices for
• On the Limit Behavior of Compositions of Measures in the Plane and Space of Lobachevsky
• Random walk on spheres

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