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An Attempt to Solve Approximately the Optimal Estimation Problem for Markov Processes by Expansion of the A-Pos-Teriori Density in an Edgeworth Series

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Transactions of the Ninth Prague Conference

Part of the book series: Czechoslovak Academy of Sciences ((TPCI,volume 9A))

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Abstract

The synthesis of optimal on-line algorithms for nonlinear estimation problems in the framework of Markov diffusion processes is an until now unsolved problem. The possibility to solve the problem by expansion of the conditional a-posteriori density in an Edgeworth serie and taking into account only the a-posteriori quasi moment-functions of lowest order is discussed.

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References

  • Stratonovich R.L. (1960): Conditional Markov processes. In: Theory Prob. Appl. 5, 156–178

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  • Ahlbehrendt N., Mädiger B. (1981): A new method for synthesis of nonlinear parameter and state estimation for noisely disturbed processes. In: Proceedings of the VIII. IFAC-congress, Kyoto (Japan).

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© 1983 ACADEMIA, Publishing House of the Czechoslovak Academy of Sciences, Prague

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Ahlbehrendt, N., Draeger, U. (1983). An Attempt to Solve Approximately the Optimal Estimation Problem for Markov Processes by Expansion of the A-Pos-Teriori Density in an Edgeworth Series. In: Transactions of the Ninth Prague Conference. Czechoslovak Academy of Sciences, vol 9A. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-7013-7_11

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  • DOI: https://doi.org/10.1007/978-94-009-7013-7_11

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-009-7015-1

  • Online ISBN: 978-94-009-7013-7

  • eBook Packages: Springer Book Archive

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