Note on a stochastic integral equation
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Séminaire de probabilités de Strasbourg
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Norihiko Kazamaki (1972)
Séminaire de probabilités de Strasbourg
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A nonlinear filtering problem with delays in the state and observation equations is considered. The unnormalized conditional probability density of the filtered diffusion process satisfies the so-called Zakai equation and solves the nonlinear filtering problem. We examine the solution of the Zakai equation using an approximation result. Our theoretical deliberations are illustrated by a numerical example.
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