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Kalman Filtering

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Abstract

In recursive methods the construction of an estimate at time t is based on an estimate from the previous time and the observations available in the time t. Exponential smoothing and Yule-Walker equations are examples of recursive algorithms but by defining a state-space model one can build a unifying theory of recursive methods with the Kalman filter as a general (linear) solution of filtering, smoothing and prediction problems.

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Bibliography

  • Anderson, B. D. 0. and Moore, J. B. (1979). Optimal filtering, Prentice-Hall, Englewood Cliffs

    MATH  Google Scholar 

  • Brockwell, P. J. and Davis, R. A. (1991). Time Series: Theory and Methods, Springer-Verlag, New York

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  • Harvey, A. C. (1990). Forecasting, Structural Time Series Models and the Kalman Filter, Cambridge University Press, Cambridge.

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  • Hosking, J. R. M., Pai, J. S. and Wu, L. S. Y. (1996). An Algorithm for Estimating Parameters of State-Space Models, Statistics and Probability Letters28: 99 – 106

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  • Shumway, R. H. and Stoffer, D. S. (1982). An Approach to Time Series Smoothing and Forecasting Using the EM Algorithm, Journal of Time Series Analysis 4: 253 – 263

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© 2000 Springer-Verlag Berlin Heidelberg

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Franěk, P. (2000). Kalman Filtering. In: XploRe — Learning Guide. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-60232-0_10

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  • DOI: https://doi.org/10.1007/978-3-642-60232-0_10

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-66207-5

  • Online ISBN: 978-3-642-60232-0

  • eBook Packages: Springer Book Archive

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