Équations du filtrage non linéaire de la prédiction et du lissage

1 January 1982

journal article
research article
Published by Taylor & Francis in Stochastics

Vol. 6 (3-4) , 193-231
https://doi.org/10.1080/17442508208833204

Abstract

We establish equations of non linear filtering, prediction (extrapolation) and smoothing (interpolation) in the case where the signal is a non degenerate diffusion process, and the observation is a noisy functional of the signal. We consider both the case of observation noise correlated with the signal, and the opposite case where we establish “robust” form of the equations. We study finally the case of unbounded coefficients, and the case where there is a feedback from the observation to the signal.

Keywords

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