Moment functions and central limit theorem for Jacobi hypergroups on \([0,\infty [\)
type: Item
instance of: scholarly article
title: Moment functions and central limit theorem for Jacobi hypergroups on \([0,\infty [\)
zbMATH Open document ID: 1350.60019
author: Waldemar Grundmann
published in: Journal of Theoretical Probability
publication date: 2014-09-26T00:00:00Z
review text: Random walks on hypergroups are considered together with moment functions in this paper. The author proves in \(L_2\) an estimate for difference between random walk moment function and its linearization. The result is used to derived a CLT in hyperbolic spaces. In particular, for Jacobi hypergroups on \([0,\infty[\), the author shows that the limit in CLT does not depend on the first Jacobi hypergroup parameter.
reviewed by: Petr Lachout
Mathematics Subject Classification ID: 60F05
Mathematics Subject Classification ID: 60B15
Mathematics Subject Classification ID: 60G50
zbMATH DE Number: 6348424
zbMATH Keywords: radial random walks
zbMATH Keywords: central limit theorems
zbMATH Keywords: moment functions
zbMATH Keywords: hypergroups
zbMATH Keywords: hyperbolic spaces
zbMATH Keywords: Jacobi hypergroups
MaRDI profile type: Publication
full work available at URL: s10959-012-0465-9
OpenAlex ID: W2083859372
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DOI: 10.1007/S10959-012-0465-9
description: scientific article; zbMATH DE number 6348424