Authors: Zähle, Henryk
Title: Weak approximation of SDEs by discrete-time processes
Language (ISO): en
Abstract: 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.
Subject Headings: 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
Issue Date: 2008-04-15T11:56:56Z
Appears in Collections:Preprints der Fakultät für Mathematik

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