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SMOOTHIES: A Toolbox for the Exact Nonlinear and Non-Gaussian Kalman Smoother

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  • Joris de Wind

Abstract

In this paper, I present a new toolbox that implements the exact nonlinear and non-Gaussian Kalman smoother for a wide class of discrete-time state space models, including models with implicit functions and equality constraints. Read also CPB Discussion Paper 359. The technical details are presented in an accompanying paper, while the toolbox is documented in the current one. The toolbox, which is built on top of Dynare, is very user-friendly and only requires the user to provide the state space model to be analyzed, while the toolbox automatically solves the smoothing problem. The toolbox can also be applied for conditional forecasting, which is demonstrated on the basis of a nonlinear macroeconomic model with forward-looking variables.

Suggested Citation

  • Joris de Wind, 2017. "SMOOTHIES: A Toolbox for the Exact Nonlinear and Non-Gaussian Kalman Smoother," CPB Discussion Paper 360, CPB Netherlands Bureau for Economic Policy Analysis.
    • Handle: RePEc:cpb:discus:360
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    References listed on IDEAS

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    1. Joris de Wind, 2017. "Exact Nonlinear and Non-Gaussian Kalman Smoother for State Space Models with Implicit Functions and Equality Constraints," CPB Discussion Paper 359, CPB Netherlands Bureau for Economic Policy Analysis.
    2. Juillard, Michel, 1996. "Dynare : a program for the resolution and simulation of dynamic models with forward variables through the use of a relaxation algorithm," CEPREMAP Working Papers (Couverture Orange) 9602, CEPREMAP.
    3. Adjemian, Stéphane & Bastani, Houtan & Juillard, Michel & Karamé, Fréderic & Maih, Junior & Mihoubi, Ferhat & Mutschler, Willi & Perendia, George & Pfeifer, Johannes & Ratto, Marco & Villemot, Sébasti, 2011. "Dynare: Reference Manual Version 4," Dynare Working Papers 1, CEPREMAP, revised Mar 2021.
    4. Joris de Wind, 2017. "Exact Nonlinear and Non-Gaussian Kalman Smoother for State Space Models with Implicit Functions and Equality Constraints," CPB Discussion Paper 359.rdf, CPB Netherlands Bureau for Economic Policy Analysis.
    5. Peter Hollinger, "undated". "The Stacked-Time Simulator in TROLL: A Robust Algorithm for Solving Forward-Looking Models," Computing in Economics and Finance 1996 _026, Society for Computational Economics.
    6. Sandef, J. & Don, F. J. H. & van den Berg, P. J. C. M., 1984. "Adjustment of projections to recent observations," European Economic Review, Elsevier, vol. 26(1-2), pages 153-166.
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    Cited by:

    1. Joris de Wind, 2017. "Exact Nonlinear and Non-Gaussian Kalman Smoother for State Space Models with Implicit Functions and Equality Constraints," CPB Discussion Paper 359.rdf, CPB Netherlands Bureau for Economic Policy Analysis.
    2. Joris de Wind, 2017. "Exact Nonlinear and Non-Gaussian Kalman Smoother for State Space Models with Implicit Functions and Equality Constraints," CPB Discussion Paper 359, CPB Netherlands Bureau for Economic Policy Analysis.

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    More about this item

    JEL classification:

    • C21 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Cross-Sectional Models; Spatial Models; Treatment Effect Models
    • C22 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Time-Series Models; Dynamic Quantile Regressions; Dynamic Treatment Effect Models; Diffusion Processes
    • C25 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Discrete Regression and Qualitative Choice Models; Discrete Regressors; Proportions; Probabilities
    • J64 - Labor and Demographic Economics - - Mobility, Unemployment, Vacancies, and Immigrant Workers - - - Unemployment: Models, Duration, Incidence, and Job Search

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