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Fourier--Hermite Expansions for Nonlinear Filtering

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Publication:2711149
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DOI10.1137/S0040585X97977835zbMath0968.60037OpenAlexW1994706895MaRDI QIDQ2711149

Remigijus Mikulevičius, Boris L. Rosovskii

Publication date: 2 May 2001

Published in: Theory of Probability & Its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/s0040585x97977835


zbMATH Keywords

nonlinear filteringFourier-Hermite expansion


Mathematics Subject Classification ID

Inference from stochastic processes and prediction (62M20) Filtering in stochastic control theory (93E11) Nonlinear systems in control theory (93C10) Signal detection and filtering (aspects of stochastic processes) (60G35)


Related Items (6)

Comparison of continuity equation and Gaussian mixture model for long-term density propagation using semi-analytical methods ⋮ The Hitchhiker's guide to nonlinear filtering ⋮ Application of nonlinear filtering to credit risk ⋮ New method for optimal nonlinear filtering of noisy observations by multiple stochastic fractional integral expansions ⋮ Representations of the optimal filter in the context of nonlinear filtering of random fields with fractional noise ⋮ A simulation approach to optimal stopping under partial information




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