Analysis of estimation accuracy of the first moments of a Monte Carlo solution to an SDE with Wiener and Poisson components.

Autor: Artemiev, S., Yakunin, M.
Zdroj: Numerical Analysis & Applications; Jan2016, Vol. 9 Issue 1, p24-33, 10p
Abstrakt: In this paper, the estimation accuracy of the first moments of a numerical solution to an SDE with Wiener and Poisson components is investigated by a generalized explicit Euler method. Exact expressions for the mathematical expectation and variance of a test SDE solution are obtained. These expressions allow us to investigate the estimation accuracy obtained by a Monte Carlo method versus the SDE parameters, the integration step, and the size of the ensemble of simulated trajectories of the solution. The results of test numerical experiments are presented. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index