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A simple proof for the Kalman-Bucy smoothed estimate formula - MaRDI portal

A simple proof for the Kalman-Bucy smoothed estimate formula (Q689529)

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scientific article; zbMATH DE number 445298
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English
A simple proof for the Kalman-Bucy smoothed estimate formula
scientific article; zbMATH DE number 445298

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    A simple proof for the Kalman-Bucy smoothed estimate formula (English)
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    12 December 1993
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    The author considers an inhomogeneous Kalman-Bucy filtering system \((X,Y)\) where the signal process \(X\) and the observation process \(Y\) are one-dimensional. Using a method introduced by \textit{A. Le Breton} and \textit{M. Musiela} [see C. R. Acad. Sci., Paris, Sér. I 307, No. 1, 47-50 (1988; Zbl 0642.60027)] he gives a very simple proof for the smoothed linear estimate formula.
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    inhomogeneous Kalman-Bucy filtering system
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    smoothed linear estimate
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