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Introducción al filtro Kalman

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  • Alvaro Montenegro

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Abstract

El filtro Kalman es un método de estimación cuyos parámetros se corrigen en cada iteración dependiendo del error de predicción que se haya cometido en la iteración anterior. Es un estimador lineal y óptimo desde el punto de vista de mínimos cuadrados, que ha ganado aceptación en el análisis de series de tiempo. En este documento se explican los conceptos sobre los cuales se basa el filtro Kalman, se derivan sus ecuaciones y se ilustra su operación con ejemplos numéricos.

Suggested Citation

  • Alvaro Montenegro, 2005. "Introducción al filtro Kalman," DOCUMENTOS DE ECONOMÍA 002920, UNIVERSIDAD JAVERIANA - BOGOTÁ.
  • Handle: RePEc:col:000108:002920
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    File URL: http://www.javeriana.edu.co/fcea/area_economia/inv/documents/Introduccionalfiltrokalman.pdf
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    References listed on IDEAS

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    1. Engel, Charles & Kim, Chang-Jin, 1999. "The Long-Run U.S./U.K. Real Exchange Rate," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 31(3), pages 335-356, August.
    2. George A. Akerlof & William T. Dickens & George L. Perry, 2000. "Near-Rational Wage and Price Setting and the Long-Run Phillips Curve," Brookings Papers on Economic Activity, Economic Studies Program, The Brookings Institution, vol. 31(1), pages 1-60.
    3. Jennifer V Greenslade & Richard G Pierse & Jumana Saleheen, 2003. "A Kalman filter approach to estimating the UK NAIRU," Bank of England working papers 179, Bank of England.
    4. Fama, Eugene F. & Gibbons, Michael R., 1982. "Inflation, real returns and capital investment," Journal of Monetary Economics, Elsevier, vol. 9(3), pages 297-323.
    5. Garratt, Anthony & Hall, Stephen G, 1996. "Measuring Underlying Economic Activity," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 11(2), pages 135-151, March-Apr.
    6. Tanizaki, Hisashi, 1993. "Kalman Filter Model with Qualitative Dependent Variables," The Review of Economics and Statistics, MIT Press, vol. 75(4), pages 747-752, November.
    7. LeRoy, Stephen F & Waud, Roger N, 1977. "Applications of the Kalman Filter in Short-Run Monetary Control," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 18(1), pages 195-207, February.
    8. Crafts, N F R & Leybourne, S J & Mills, Terence C, 1989. "The Climacteric in Late Victorian Britain and France: A Reappraisal of the Evidence," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 4(2), pages 103-117, April-Jun.
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    Cited by:

    1. Andrés Mauricio Gómez Sánchez & José Gabriel Astaiza Gómez, 2015. "Ex-post Equity Risk Premiums and Economic Cycles in Colombia: An Empirical Research Using Kalman and Hodrick-Prescott Filters," REVISTA FINANZAS Y POLÍTICA ECONÓMICA, UNIVERSIDAD CATOLICA DE COLOMBIA, vol. 7(1), pages 109-129, January.
    2. Andrés Felipe Giraldo Palomino, 2008. "Aversión a la inflación y regla de Taylor en Colombia 1994-2005," REVISTA CUADERNOS DE ECONOMÍA, UN - RCE - CID, December.
    3. Alejandro Gaviria Jaramillo & Santiago Téllez Alzate, 2010. "Expectativas de inflación en Colombia," VNIVERSITAS ECONÓMICA 008299, UNIVERSIDAD JAVERIANA - BOGOTÁ.

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