Limit theorems of SDEs driven by L\'evy processes and application to nonlinear filtering problems
Probability
2020-07-02 v2
Abstract
In this paper we study the convergence of solutions for (possibly degenerate) stochastic differential equations driven by L\'evy processes, when the coefficients converge in some appropriate sense. First, we prove, by means of a superposition principle, a limit theorem of stochastic differential equations driven by L\'evy processes. Then we apply the result to a type of nonlinear filtering problems and obtain the convergence of the nonlinear filterings.
Keywords
Cite
@article{arxiv.2004.01476,
title = {Limit theorems of SDEs driven by L\'evy processes and application to nonlinear filtering problems},
author = {Huijie Qiao},
journal= {arXiv preprint arXiv:2004.01476},
year = {2020}
}
Comments
19 pages