On Weak Approximation of Stochastic Differential Equations with Discontinuous Drift Coefficient1

نویسندگان

  • Arturo Kohatsu-Higa
  • Antoine Lejay
  • Kazuhiro Yasuda
چکیده

In this paper, weak approximations of multi-dimensional stochastic differential equations with discontinuous drift coefficients are considered. Here as the approximated process, the Euler-Maruyama approximation of SDEs with approximated drift coefficients is used, and we provide a rate of weak convergence of them. Finally we present a rate of weak convergence of the Euler-Maruyama approximation of the original SDEs with constant diffusion coefficients.

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تاریخ انتشار 1996