On robustness of discrete time optimal filters


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Abstract

A new result on stability of an optimal nonlinear filter for a Markov chain with respect to small perturbations on every step is established. An exponential recurrence of the signal is assumed.

About the authors

M. L. Kleptsyna

Univ. du Maine

Author for correspondence.
Email: Marina.Kleptsyna@univ.lemans.fr
France, Le Mans

A. Yu. Veretennikov

Univ. of Leeds; Inst. Inform. Transm. Problems

Email: Marina.Kleptsyna@univ.lemans.fr
United Kingdom, Leeds; Moscow

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