The aim of this paper is to give some approximation results for a class of nonlinear filtering problems with delay in the observation. First, we point out some general results on the approximation problem for the filter in nonlinear filtering. In particular, we give a general procedure for obtaining some upper bounds for the different approximations we consider. This procedure is then applied in the case of nonlinear filtering problems with delay $(X,Y)$, which can be represented by means of a Markov system $(X,\hat{Y})$, in the sense that $Y_{t}=\hat{Y}_{a(t)}$. Finally, these upper bounds are computed explicitly in the particular case of Markov jump process with counting observations.

Calzolari, A., Florchinger, P., Nappo, G. (2006). Approximation of nonlinear filters for Markov systems with delayed observations, 45(2), 599-633.

Approximation of nonlinear filters for Markov systems with delayed observations

CALZOLARI, ANTONELLA;
2006-01-01

Abstract

The aim of this paper is to give some approximation results for a class of nonlinear filtering problems with delay in the observation. First, we point out some general results on the approximation problem for the filter in nonlinear filtering. In particular, we give a general procedure for obtaining some upper bounds for the different approximations we consider. This procedure is then applied in the case of nonlinear filtering problems with delay $(X,Y)$, which can be represented by means of a Markov system $(X,\hat{Y})$, in the sense that $Y_{t}=\hat{Y}_{a(t)}$. Finally, these upper bounds are computed explicitly in the particular case of Markov jump process with counting observations.
2006
Pubblicato
Rilevanza internazionale
Articolo
Sì, ma tipo non specificato
Settore MAT/06 - PROBABILITA' E STATISTICA MATEMATICA
English
http://www.mat.uniroma1.it/people/nappo/papers.pdf/delayapproxSIAM-revised.pdf
Calzolari, A., Florchinger, P., Nappo, G. (2006). Approximation of nonlinear filters for Markov systems with delayed observations, 45(2), 599-633.
Calzolari, A; Florchinger, P; Nappo, G
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2108/60747
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