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math.PR2020★ 2 cited
Quantitative Convergence of the Filter Solution for Multiple Timescale Nonlinear Systems with Coarse-Grain Correlated Noise
Ryne Beeson, N. Sri Namachchivaya, Nicolas Perkowski
In this paper we prove a rate of convergence for the continuous time filtering solution of a multiple timescale correlated nonlinear system to a lower dimensional filtering equatio…
math.PR2020★ 1 cited
Approximation of the Filter Equation for Multiple Timescale, Correlated, Nonlinear Systems
Ryne Beeson, N. Sri Namachchivaya, Nicolas Perkowski
This paper considers the approximation of the continuous time filtering equation for the case of a multiple timescale (slow-intermediate, and fast scales) that may have correlation…