Université Paul Sabatier Toulouse

CNRS U.M.R. C5583
Laboratoire de Statistique et Probabilités

The linear Kalman-Bucy filter with respect to Liouville fractional Brownian motion

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Résumé: We suggest a linear filtering method that involves preprocessing of data and postprocessing of estimations.The main advantage of this procedure is that it requires only ordinary linear Kalman-Bucy filtering. The main disadvantage is that it does not give the best estimation of the data given the observation, since it is optimal for a non-classical $L^2$ criterion.

Mots Clés: Gaussian processes, Stochastic Integrals, Fractional integration, Linear Kalman-Bucy Filter

Date: 28/03/2000

Prépublication numéro: LSP-2000-05