Moment functions and central limit theorem for Jacobi hypergroups on \([0,\infty [\) (Q457105)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Moment functions and central limit theorem for Jacobi hypergroups on \([0,\infty [\) |
scientific article; zbMATH DE number 6348424
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Moment functions and central limit theorem for Jacobi hypergroups on \([0,\infty [\) |
scientific article; zbMATH DE number 6348424 |
Statements
Moment functions and central limit theorem for Jacobi hypergroups on \([0,\infty [\) (English)
0 references
26 September 2014
0 references
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.
0 references
radial random walks
0 references
central limit theorems
0 references
moment functions
0 references
hypergroups
0 references
hyperbolic spaces
0 references
Jacobi hypergroups
0 references
0 references
0 references
