Filtering and Smoothing Equations for the Filtering Problems of Benes

Filtering and Smoothing Equations for the Filtering Problems of Benes

Title : Filtering and Smoothing Equations for the Filtering Problems of Benes
Authors :
Ocone, D. L
Baras, John, S.
Conference : 20th IEEE Conference on Decision and Control pp. 83-88
Date: December 01 - December 01, 1981

Filtering of a diffusion with nonlinear drifts of a type defined by Benes is studied. Explicit, finite dimensional, recursive filters are shown to exist for moments and polynomial functionals of the diffusion, and a smoothing formula is given. These results are related to current, geometric approaches to filtering.

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