Autor(en): | Zähle, Henryk |
Titel: | Weak approximation of SDEs by discrete-time processes |
Sprache (ISO): | en |
Zusammenfassung: | We consider the martingale problem related to the solution of an SDE on the line. It is shown that the solution of this martingale problem can be approximated by solutions of the corresponding time-discrete martingale problems under some conditions. This criterion is especially expedient for establishing the convergence of population processes to SDEs. We also show that the criterion yields a weak Euler scheme approximation of SDEs under fairly weak assumptions on the driving force of the approximating processes. |
Schlagwörter: | stochastic differential equation martingale problem Doob-Meyer decomposition discrete-time process weak convergence Galton-Watson process Euler scheme |
URI: | http://hdl.handle.net/2003/25186 http://dx.doi.org/10.17877/DE290R-69 |
Erscheinungsdatum: | 2008-04-15T11:56:56Z |
Enthalten in den Sammlungen: | Preprints der Fakultät für Mathematik |
Dateien zu dieser Ressource:
Datei | Beschreibung | Größe | Format | |
---|---|---|---|---|
mathematicalPreprint01.pdf | 305.14 kB | Adobe PDF | Öffnen/Anzeigen |
Diese Ressource ist urheberrechtlich geschützt. |
Diese Ressource ist urheberrechtlich geschützt. rightsstatements.org