Informatics and Applications
2025, Volume 19, Issue 3, pp 2-9
BAYES CRITERION CONDITIONALLY OPTIMAL FILTERING METHODS FOR OBSERVABLE IMPLICIT STOCHASTIC SYSTEMS
Abstract
The paper is devoted to methods of conditionally optimal filter (COF) synthesis by Bayes criterion (BC) in continuous and discrete implicit non-Gaussian stochastic systems (StS) reducible to explicit. A short COF survey by mean square, energetic, and complex statistical criteria for explicit and implicit continuous and discrete StS is given. Reduction methods for smooth and nonsmooth implicit functions are developed. Exact and approximate (based on normal approximation and statistical linearization) methods for BC COF in reducible implicit continuous and discrete StS are considered. Special attention is paid to normal BC COF. The problem of equivalence of non-Gaussian noises in BC COF is discussed. Future directions of research and applications are presented.
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[+] About this article
Title
BAYES CRITERION CONDITIONALLY OPTIMAL FILTERING METHODS FOR OBSERVABLE IMPLICIT STOCHASTIC SYSTEMS
Journal
Informatics and Applications
2025, Volume 19, Issue 3, pp 2-9
Cover Date
2025-10-10
DOI
10.14357/19922264250301
Print ISSN
1992-2264
Publisher
Institute of Informatics Problems, Russian Academy of Sciences
Additional Links
Key words
Bayes criterion (BC); conditionally optimal filter (COF); implicit StS; normal COF; stochastic system (StS)
Authors
I. N. Sinitsyn
Author Affiliations
 Federal Research Center "Computer Science and Control" of the Russian Academy of Sciences, 44-2 Vavilov Str., Moscow 119333, Russian Federation
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