English

A limit theorem of nonlinear filtering for multiscale McKean-Vlasov stochastic systems

Probability 2023-11-28 v1

Abstract

The work concerns about multiscale McKean-Vlasov stochastic systems. First of all, we prove an average principle for these systems in the L2L^2 sense. Moreover, a convergence rate is presented. Then we define the nonlinear filtering of these systems and establish a limit theorem about nonlinear filtering of them in the L2L^2 sense.

Keywords

Cite

@article{arxiv.2311.14973,
  title  = {A limit theorem of nonlinear filtering for multiscale McKean-Vlasov stochastic systems},
  author = {Huijie Qiao and Shengqing Zhu},
  journal= {arXiv preprint arXiv:2311.14973},
  year   = {2023}
}

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14 pages