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Introducción al filtro Kalman

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  • Alvaro Montenegro

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 2920, 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.
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    6. Watson, P K, 1983. "Kalman Filtering as an Alternative to Ordinary Least Squares-Some Theoretical Considerations and Empirical Results," Empirical Economics, Springer, vol. 8(2), pages 71-85.
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    9. 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. Andres Mauricio Gómez Sánchez & Juliana Isabel Sarmiento Castillo & Claudia Liceth Fajardo Hoyos, 2016. "Indicador global adelantado de corto y largo plazo para la economía del Cauca 1960-2014," Apuntes del Cenes, Universidad Pedagógica y Tecnológica de Colombia, vol. 35(62), pages 209-244, July.
    2. 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 Politica Economica, Universidad Católica de Colombia, vol. 7(1), pages 109-129, January.
    3. Andrés Felipe Giraldo Palomino, 2008. "Aversión a la inflación y regla de Taylor en Colombia 1994-2005," Revista Cuadernos de Economia, Universidad Nacional de Colombia, FCE, CID, December.
    4. Alejandro Gaviria Jaramillo & Santiago Téllez Alzate, "undated". "Expectativas de inflación en Colombia," Vniversitas Económica 8299, Universidad Javeriana - Bogotá.

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