IDEAS home Printed from https://ideas.repec.org/p/hal/journl/hal-01019094.html
   My bibliography  Save this paper

Introduction aux modèles espace état et au filtre de Kalman

Author

Listed:
  • Matthieu Lemoine

    (OFCE - Observatoire français des conjonctures économiques (Sciences Po) - Sciences Po - Sciences Po)

  • Florian Pelgrin

    (HEC Lausanne - Faculté des Hautes Etudes Commerciales (HEC Lausanne))

Abstract

Nous détaillons ici les principaux concepts et problèmes liés aux modèles espace-état, ainsi que leurs applications. Nous présentons d'abord ces modèles dans leur généralité. Ensuite, nous explicitons les algorithmes utilisés afin de procéder à l'estimation par le maximum de vraisemblance, c'est-à-dire fondamentalement le filtre de Kalman et l'algorithme EM. Nous considérons enfin quatre applications : les décompositions tendance-cycle, l'extraction d'indicateurs coïncidents d'activité, l'estimation d'un taux de chômage d'équilibre pouvant varier avec le temps (TV-Nairu) et l'évaluation du contenu informatif de la courbe des taux sur l'inflation future.

Suggested Citation

  • Matthieu Lemoine & Florian Pelgrin, 2003. "Introduction aux modèles espace état et au filtre de Kalman," Post-Print hal-01019094, HAL.
  • Handle: RePEc:hal:journl:hal-01019094
    DOI: 10.3917/reof.086.0203
    Note: View the original document on HAL open archive server: https://sciencespo.hal.science/hal-01019094
    as

    Download full text from publisher

    File URL: https://sciencespo.hal.science/hal-01019094/document
    Download Restriction: no

    File URL: https://libkey.io/10.3917/reof.086.0203?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. 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.
    2. 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.
    3. 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.
    4. Francis X. Diebold & Glenn D. Rudebusch, 1999. "Business Cycles: Durations, Dynamics, and Forecasting," Economics Books, Princeton University Press, edition 1, number 6636.
    5. 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.
    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. Robert J. Gordon, 1997. "The Time-Varying NAIRU and Its Implications for Economic Policy," Journal of Economic Perspectives, American Economic Association, vol. 11(1), pages 11-32, Winter.
    8. Durbin, James & Koopman, Siem Jan, 2012. "Time Series Analysis by State Space Methods," OUP Catalogue, Oxford University Press, edition 2, number 9780199641178.
    9. repec:hal:spmain:info:hdl:2441/2130 is not listed on IDEAS
    10. Tzavalis, Elias & Wickens, M. R., 1996. "Forecasting inflation from the term structure," Journal of Empirical Finance, Elsevier, vol. 3(1), pages 103-122, May.
    11. 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.
    12. repec:hal:wpspec:info:hdl:2441/2130 is not listed on IDEAS
    13. 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.
    14. 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.
    15. Cogley, Timothy & Nason, James M., 1995. "Effects of the Hodrick-Prescott filter on trend and difference stationary time series Implications for business cycle research," Journal of Economic Dynamics and Control, Elsevier, vol. 19(1-2), pages 253-278.
    16. 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.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. 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 Coc," MPRA Paper 26980, University Library of Munich, Germany, revised Nov 2010.
    2. repec:spo:wpecon:info:hdl:2441/2005 is not listed on IDEAS
    3. Andreas Groth & Patrice Dumas & Michael Ghil & Stéphane Hallegatte, 2015. "Impacts of Natural Disasters on a Dynamic Economy," Post-Print hal-01678074, HAL.
    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. Lecarpentier-Moyal, Sylvie & Renou-Maissant, Patricia, 2007. "Analyse dynamique de la convergence des comportements de demande de monnaie en Europe," L'Actualité Economique, Société Canadienne de Science Economique, vol. 83(3), pages 321-357, septembre.
    6. repec:hal:spmain:info:hdl:2441/1907 is not listed on IDEAS
    7. Allegret, Jean-Pierre & Sand-Zantman, Alain, 2010. "Processus d’intégration et coordination des politiques macroéconomiques dans le Mercosur : une approche en termes de cycles," L'Actualité Economique, Société Canadienne de Science Economique, vol. 86(2), pages 163-204, juin.
    8. Sylvie Lecarpentier-Moyal & Patricia Renou-Maissant, 2007. "Analyse dynamique de la convergence des comportements de demande de monnaie en Europe," Post-Print halshs-00256488, HAL.
    9. repec:hal:spmain:info:hdl:2441/2128 is not listed on IDEAS
    10. 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.
    11. repec:hal:wpspec:info:hdl:2441/2005 is not listed on IDEAS
    12. repec:hal:spmain:info:hdl:2441/2005 is not listed on IDEAS

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. repec:hal:spmain:info:hdl:2441/2129 is not listed on IDEAS
    2. repec:spo:wpecon:info:hdl:2441/2129 is not listed on IDEAS
    3. repec:hal:wpspec:info:hdl:2441/2129 is not listed on IDEAS
    4. Tommaso Proietti, 2009. "Structural Time Series Models for Business Cycle Analysis," Palgrave Macmillan Books, in: Terence C. Mills & Kerry Patterson (ed.), Palgrave Handbook of Econometrics, chapter 9, pages 385-433, Palgrave Macmillan.
    5. Drew Creal, 2012. "A Survey of Sequential Monte Carlo Methods for Economics and Finance," Econometric Reviews, Taylor & Francis Journals, vol. 31(3), pages 245-296.
    6. Drew Creal & Siem Jan Koopman & Eric Zivot, 2008. "The Effect of the Great Moderation on the U.S. Business Cycle in a Time-varying Multivariate Trend-cycle Model," Tinbergen Institute Discussion Papers 08-069/4, Tinbergen Institute.
    7. repec:hal:wpspec:info:hdl:2441/2005 is not listed on IDEAS
    8. Davide Delle Monache & Ivan Petrella, 2014. "Adaptive Models and Heavy Tails," Working Papers 720, Queen Mary University of London, School of Economics and Finance.
    9. Odia Ndongo, Yves Francis, 2006. "Datation du Cycle du PIB Camerounais entre 1960 et 2003," MPRA Paper 552, University Library of Munich, Germany.
    10. Tatiana Cesaroni & Carmine Pappalardo, 2008. "Long run and short run dynamics in italian manufacturing labour productivity," Economics Bulletin, AccessEcon, vol. 3(15), pages 1-11.
    11. Drew Creal & Siem Jan Koopman & Eric Zivot, 2010. "Extracting a robust US business cycle using a time-varying multivariate model-based bandpass filter," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 25(4), pages 695-719.
    12. Odile Chagny & Jörg Döpke, 2001. "Measures of the Output Gap in the Euro-Zone: An Empirical Assessment of Selected Methods," Vierteljahrshefte zur Wirtschaftsforschung / Quarterly Journal of Economic Research, DIW Berlin, German Institute for Economic Research, vol. 70(3), pages 310-332.
    13. Musso, Alberto & Proietti, Tommaso, 2007. "Growth accounting for the euro area: a structural approach," Working Paper Series 804, European Central Bank.
    14. Charles Bos & Neil Shephard, 2006. "Inference for Adaptive Time Series Models: Stochastic Volatility and Conditionally Gaussian State Space Form," Econometric Reviews, Taylor & Francis Journals, vol. 25(2-3), pages 219-244.
    15. repec:hal:spmain:info:hdl:2441/2005 is not listed on IDEAS
    16. Paolo Guarda, 2002. "Potential output and the output gap in Luxembourg: some alternative methods," BCL working papers 4, Central Bank of Luxembourg.
    17. 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.
    18. Michael Artis & Massimiliano Marcellino & Tommaso Proietti, 2004. "Characterising the Business Cycle for Accession Countries," Working Papers 261, IGIER (Innocenzo Gasparini Institute for Economic Research), Bocconi University.
    19. repec:hal:spmain:info:hdl:2441/1907 is not listed on IDEAS
    20. Iris Claus, 1999. "Estimating potential output for New Zealand: a structural VAR approach," Reserve Bank of New Zealand Discussion Paper Series DP2000/03, Reserve Bank of New Zealand.
    21. Eduardo Loría & Emmanuel Salas, 2014. "Ciclos, crecimiento económico y crisis en México, 1980.1-2013.4," Estudios Económicos, El Colegio de México, Centro de Estudios Económicos, vol. 29(2), pages 131-161.
    22. Tommaso Proietti & Alberto Musso, 2012. "Growth accounting for the euro area," Empirical Economics, Springer, vol. 43(1), pages 219-244, August.
    23. repec:spo:wpecon:info:hdl:2441/2005 is not listed on IDEAS
    24. Charles Bos & Neil Shephard, 2006. "Inference for Adaptive Time Series Models: Stochastic Volatility and Conditionally Gaussian State Space Form," Econometric Reviews, Taylor & Francis Journals, vol. 25(2-3), pages 219-244.

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:hal:journl:hal-01019094. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: CCSD (email available below). General contact details of provider: https://hal.archives-ouvertes.fr/ .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.