Hitting time for Bessel processes-walk on moving spheres algorithm (WoMS) (Q389064)
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: Hitting time for Bessel processes-walk on moving spheres algorithm (WoMS) |
scientific article; zbMATH DE number 6247410
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Hitting time for Bessel processes-walk on moving spheres algorithm (WoMS) |
scientific article; zbMATH DE number 6247410 |
Statements
Hitting time for Bessel processes-walk on moving spheres algorithm (WoMS) (English)
0 references
17 January 2014
0 references
Based on coupling the ingredients of the method of image developed by \textit{H. R. Lerche} [Boundary crossing of Brownian motion. Its relation to the law of the iterated logarithm and to sequential analysis. Lecture Notes in Statistics, 40. Berlin etc.: Springer-Verlag (1986; Zbl 0604.62075)] and the connection between the Bessel process and the Brownian motion, the authors give an explicit expression of the law of the hitting time of the Bessel process at some particular moving boundary. This approach aims to a better simulation of these hitting time and hitting place. A numerical study is also shown.
0 references
Bessel processes
0 references
Cox-Ingersoll-Ross processes
0 references
hitting time
0 references
method of image
0 references
algorithm
0 references
numerical example
0 references
Brownian motion
0 references
0 references
0 references