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Filtering of stationary Gaussian statistical experiments

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Abstract

This article proposes a new filtering model for stationary Gaussian Markov statistical experiments given by diffusion-type difference stochastic equations.

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References

  1. R. Sh. Liptser and A. N. Shiryaev, Statistics of Random Processes. II. Applications, Springer, Berlin, 2001.

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  2. D. Koroliouk, “Two component binary statistical experiments with persistent linear regression,” Theor. Probab. Math. Statist., 90, 103–114 (2015).

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  3. D. Koroliouk and V. S. Korolyuk, “Filtration of stationary Gaussian statistical experiments,” J. of Math. Sci., 229, No. 1, 30–35 (2018).

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Correspondence to Volodymyr S. Korolyuk.

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Translated from Ukrains’kiĭ Matematychnyĭ Visnyk, Vol. 16, No. 3, pp. 372–382 July–September, 2019

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Korolyuk, V.S., Koroliouk, D.V. Filtering of stationary Gaussian statistical experiments. J Math Sci 246, 51–59 (2020). https://doi.org/10.1007/s10958-020-04722-3

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  • DOI: https://doi.org/10.1007/s10958-020-04722-3

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