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Introduction aux modèles espace-état et au filtre de Kalman

  • Matthieu Lemoine
  • Florian Pelgrin

This article details the main concepts, problems and applications related to state-space models. We first present the general framework for these models and we, then, make explicit the algorithms used for the estimation, i.e. the Kalman filter and the EM algorithm. We, finally, analyse four applications : the decomposition of series into trend and cycle, the extraction of coincident economic indicators, the estimation of a time-varying equilibrium unemployment rate (TV-NAIRU) and the assessment of the informative content of the yield curve regarding future inflation.

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Article provided by Presses de Sciences-Po in its journal Revue de l'OFCE.

Volume (Year): 86 (2003)
Issue (Month): 3 ()
Pages: 203-229

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Handle: RePEc:cai:reofsp:reof_086_0203
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  1. Chopin, Nicolas & Pelgrin, Florian, 2004. "Bayesian inference and state number determination for hidden Markov models: an application to the information content of the yield curve about inflation," Journal of Econometrics, Elsevier, vol. 123(2), pages 327-344, December.
  2. Mishkin, Frederic S., 1990. "What does the term structure tell us about future inflation?," Journal of Monetary Economics, Elsevier, vol. 25(1), pages 77-95, January.
  3. Guilhem Bentoglio & Jacky Fayolle & Matthieu Lemoine, 2001. "Unité et pluralité du cycle européen," Revue de l'OFCE, Presses de Sciences-Po, vol. 78(3), pages 9-73.
  4. Gordon, Robert J, 1996. "The Time-varying NAIRU and its Implications for Economic Policy," CEPR Discussion Papers 1492, C.E.P.R. Discussion Papers.
  5. Guay, A & St-Amant, P, 1996. "Do Mechanical Filters Provide a Good Approximation of Business Cycles?," Working Papers-Department of Finance Canada 1996-2, Department of Finance Canada.
  6. Garbade, Kenneth & Wachtel, Paul, 1978. "Time variation in the relationship between inflation and interest rates," Journal of Monetary Economics, Elsevier, vol. 4(4), pages 755-765, November.
  7. Tzavalis, E. & Wickens, M.R., 1995. "Forecasting Inflation from the Term Structure," Discussion Papers 9519, Exeter University, Department of Economics.
  8. Siem Jan Koopman & Neil Shephard & Jurgen A. Doornik, 1999. "Statistical algorithms for models in state space using SsfPack 2.2," Econometrics Journal, Royal Economic Society, vol. 2(1), pages 107-160.
  9. Laurence Boone, 2000. "Comparing Semi-Structural Methods to Estimate Unobserved Variables: The HPMV and Kalman Filters Approaches," OECD Economics Department Working Papers 240, OECD Publishing.
  10. Kozicki, Sharon & Tinsley, P. A., 2001. "Term structure views of monetary policy under alternative models of agent expectations," Journal of Economic Dynamics and Control, Elsevier, vol. 25(1-2), pages 149-184, January.
  11. Chang-Jin Kim & Charles R. Nelson, 1999. "State-Space Models with Regime Switching: Classical and Gibbs-Sampling Approaches with Applications," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262112388, June.
  12. Durbin, James & Koopman, Siem Jan, 2001. "Time Series Analysis by State Space Methods," OUP Catalogue, Oxford University Press, number 9780198523543, March.
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