We consider the method of constructing the suboptimal filter on the basis of approximating the a posteriori probability density of the multidimensional Markov process by the Pearson distributions. The proposed method can efficiently be used for approximating asymmetric, excessive, and finite densities.
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Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Radiofizika, Vol. 58, No. 3, pp. 244–253, March 2014.
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Mit’kin, A.S., Pogorelov, V.A. & Chub, E.G. Using the Pearson Distribution for Synthesis of the Suboptimal Algorithms for Filtering Multi-Dimensional Markov Processes. Radiophys Quantum El 58, 224–232 (2015). https://doi.org/10.1007/s11141-015-9596-z
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DOI: https://doi.org/10.1007/s11141-015-9596-z