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A synopsis of the smoothing formulae associated with the Kalman filter

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Publication:1316424
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DOI10.1007/BF01299174zbMath0789.62075MaRDI QIDQ1316424

H. R. Merkus, Aart F. de Vos, D. Stephen G. Pollock

Publication date: 14 March 1994

Published in: Computational Economics (Search for Journal in Brave)


zbMATH Keywords

Kalman filterstate space modelsconditional expectationsforward-backward algorithmsmoothing formulae


Mathematics Subject Classification ID

Applications of statistics to economics (62P20) Inference from stochastic processes and prediction (62M20)


Related Items

Recursive estimation in econometrics ⋮ A two-stage filter for smoothing multivariate noisy data on unstructured grids



Cites Work

  • Unnamed Item
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  • A solution of the smoothing problem for linear dynamic systems
  • The Signal Extraction Approach to Nonlinear Regression and Spline Smoothing
  • Smoothing and Interpolation with the State-Space Model
  • A cross-validation filter for time series models
  • A fast algorithm for signal extraction, influence and cross-validation in state space models
  • A geometrical derivation of the fixed interval smoothing algorithm
  • On smoothing in linear discrete systems with time delays†
  • A second-order method for state estimation of non-linear dynamical systems†
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