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Eigenfunction martingale estimating functions and filtered data for drift estimation of discretely observed multiscale diffusions

We propose a novel method for drift estimation of multiscale diffusion processes when a sequence of discrete observations is given. For the Langevin dynamics in a two-scale potential, our approach relies on the eigenvalues and the eigenfunctions of the homogenized dynamics. Our first estimator is de...

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Detalles Bibliográficos
Autores principales: Abdulle, Assyr, Pavliotis, Grigorios A., Zanoni, Andrea
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer US 2022
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9001250/
https://www.ncbi.nlm.nih.gov/pubmed/35527984
http://dx.doi.org/10.1007/s11222-022-10081-7