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

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

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Bibliographic Details
Main Authors: Qiao, Huijie, Zhu, Shengqing
Format: Article
Language:English
Published: Académie des sciences 2024-11-01
Series:Comptes Rendus. Mathématique
Subjects:
Online Access:https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.637/
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