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Introduction aux modèles espace-état et au filtre de Kalman

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  • Matthieu Lemoine
  • Florian Pelgrin

Abstract

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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Bibliographic Info

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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Web page: http://www.cairn.info/revue-de-l-ofce.htm

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  1. Guilhem Bentoglio & Jacky Fayolle & Matthieu Lemoine, 2001. "Unité et pluralité du cycle européen," Sciences Po publications info:hdl:2441/2130, Sciences Po.
  2. Tzavalis, E. & Wickens, M.R., 1995. "Forecasting Inflation from the Term Structure," Discussion Papers 9519, Exeter University, Department of Economics.
  3. Gordon, Robert J, 1996. "The Time-varying NAIRU and its Implications for Economic Policy," CEPR Discussion Papers 1492, C.E.P.R. Discussion Papers.
  4. Neil Shephard & Jurgen Doornik & Siem Jan Koopman, 1998. "Statistical algorithms for models in state space using SsfPack 2.2," Economics Series Working Papers 1998-W06, University of Oxford, Department of Economics.
  5. Durbin, James & Koopman, Siem Jan, 2001. "Time Series Analysis by State Space Methods," OUP Catalogue, Oxford University Press, number 9780198523543.
  6. 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.
  7. 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.
  8. 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.
  9. Mishkin, F.S., 1988. "What Does The Term Structure Tell Us About Future Inflation?," Papers fb-_88-29, Columbia - Graduate School of Business.
  10. 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.
  11. 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.
  12. 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.
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Cited by:
  1. repec:spo:wpecon:info:hdl:2441/2005 is not listed on IDEAS
  2. Éric Heyer & Frédéric Reynès & Henri Sterdyniak, 2005. "Variables observables et inobservables dans la théorie du taux de chômage d'équilibre. Une comparaison France/États-Unis," Revue économique, Presses de Sciences-Po, vol. 56(3), pages 593-603.
  3. Jean-Pierre Allegret & Alain Sand-Zantman, 2007. "Transmission des chocs et mécanismes d'ajustement dans le Mercosur," Revue de l'OFCE, Presses de Sciences-Po, vol. 101(2), pages 355-392.
  4. Odile Chagny & Matthieu Lemoine, 2003. "Écart de production dans la zone euro. Une estimation par le filtre de Hodrick-Prescott multivarié," Revue de l'OFCE, Presses de Sciences-Po, vol. 86(3), pages 173-202.
  5. Bationo, Rakissiwinde & Hounkpodote, Hilaire, 2009. "Estimation des changements des cours du café et du cacao: Filtre de Kalman, filtre de Hodrick-Prescott et modélisation à partir de processus markovien
    [Estimated Changes in Prices of Coffee and
    ," MPRA Paper 26980, University Library of Munich, Germany, revised Nov 2010.

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