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Nonlinear error correction models


  • Alvaro Escribano

    () (Universidad Carlos III de Madrid. Departamento de Economía Aplicada)

  • Santiago Mira

    () (Universidad de Las Palmas de Gran Canaria. Departamento de Análisis Económico Aplicado)


The relationship between cointegration and error correction models (EC) is well characterized in a linear context, but the extension to the nonlinear context is still a challenge. Few extensions of the linear framework have been done in the context of nonlinear error correction (NEC) or asymmetric and time varying error correction models. In this paper we propose a theoretical framework based on the concept of near epoch dependence (NED) that allows us to formally address these issues. In particular, we partially extend Granger Representation Theorem to the nonlinear case.

Suggested Citation

  • Alvaro Escribano & Santiago Mira, 2001. "Nonlinear error correction models," Documentos de trabajo conjunto ULL-ULPGC 2001-03, Facultad de Ciencias Económicas de la ULPGC.
  • Handle: RePEc:can:series:2001-03

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    References listed on IDEAS

    1. Burgess, S M, 1992. "Nonlinear Dynamics in a Structural Model of Employment," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 7(S), pages 101-118, Suppl. De.
    2. Granger, C. W. J. & Newbold, P., 1974. "Spurious regressions in econometrics," Journal of Econometrics, Elsevier, vol. 2(2), pages 111-120, July.
    3. Engle, Robert & Granger, Clive, 2015. "Co-integration and error correction: Representation, estimation, and testing," Applied Econometrics, Publishing House "SINERGIA PRESS", vol. 39(3), pages 106-135.
    4. Johansen, Soren, 1991. "Estimation and Hypothesis Testing of Cointegration Vectors in Gaussian Vector Autoregressive Models," Econometrica, Econometric Society, vol. 59(6), pages 1551-1580, November.
    5. Stock, James H, 1987. "Asymptotic Properties of Least Squares Estimators of Cointegrating Vectors," Econometrica, Econometric Society, vol. 55(5), pages 1035-1056, September.
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    Cited by:

    1. Valerie Mignon & Gilles Dufrenot & Slim Chaouachi, 2004. "Modelling the misalignments of the Dollar-Sterling real exchange rate: A nonlinear cointegration perspective," Economics Bulletin, AccessEcon, vol. 3(19), pages 1-11.
    2. Costas Milas & Jesús Otero & Theodore Panagiotidis, 2004. "Forecasting the spot prices of various coffee types using linear and non-linear error correction models," International Journal of Finance & Economics, John Wiley & Sons, Ltd., vol. 9(3), pages 277-288.
    3. Amir Kia, 2005. "Developing a Market-Based Monetary Policy Transparency Index and Testing Its Impact on Risk and Volatility in the United States," Carleton Economic Papers 05-02, Carleton University, Department of Economics.
    4. David McMillan & Angela Black, 2001. "Nonlinear error correction in spot and forward exchange rates," Review of World Economics (Weltwirtschaftliches Archiv), Springer;Institut für Weltwirtschaft (Kiel Institute for the World Economy), vol. 137(4), pages 737-750, December.
    5. Kunst, Robert M. & Jumah, Adusei, 2004. "Toward a Theory of Evaluating Predictive Accuracy," Economics Series 162, Institute for Advanced Studies.
    6. David G. McMillan, 2009. "Non-linear interest rate dynamics and forecasting: evidence for US and Australian interest rates," International Journal of Finance & Economics, John Wiley & Sons, Ltd., vol. 14(2), pages 139-155.
    7. Jean-Philippe Gervais, 2011. "Disentangling nonlinearities in the long- and short-run price relationships: an application to the US hog/pork supply chain," Applied Economics, Taylor & Francis Journals, vol. 43(12), pages 1497-1510.
    8. Martha Alicia Misasarango & Enrique Antonio Lopezenciso & Carlos Arango & Juan Nicolashernandez, 2004. "No-Linealidades En La Demanada De Efectivo En Colombia: Las Redes Neuronales Como Herramienta De Pronostico," ENSAYOS SOBRE POLÍTICA ECONÓMICA, BANCO DE LA REPÚBLICA - ESPE, vol. 22(45), pages 10-57, June.
    9. repec:ebl:ecbull:v:3:y:2004:i:20:p:1-16 is not listed on IDEAS
    10. Ana Maria Iregui & Jesus Otero, 2003. "On the dynamics of unemployment in a developing economy: Colombia," Applied Economics Letters, Taylor & Francis Journals, vol. 10(14), pages 895-898.
    11. Escribano, Alvaro & Pfann, Gerard A., 1998. "Non-linear error correction, asymmetric adjustment and cointegration," Economic Modelling, Elsevier, vol. 15(2), pages 197-216, April.
    12. Raghbendra Jha & Hari K. Nagarajan, 2002. "Noisy Vertical Markets," ASARC Working Papers 2002-04, The Australian National University, Australia South Asia Research Centre.
    13. repec:ebl:ecbull:v:3:y:2004:i:19:p:1-11 is not listed on IDEAS
    14. Lucchetti, Riccardo & Palomba, Giulio, 2008. "Nonlinear Adjustment in US Bond Yields: an Empirical Analysis with Conditional Heteroskedasticity," MPRA Paper 11571, University Library of Munich, Germany.
    15. García, Ana & Aparicio, Felipe M. & Escribano, Álvaro, 2000. "Syncronicity between macroeconomic time series: an exploratory analysis," DES - Working Papers. Statistics and Econometrics. WS 9922, Universidad Carlos III de Madrid. Departamento de Estadística.
    16. Castle, Jennifer L. & Hendry, David F., 2009. "The long-run determinants of UK wages, 1860-2004," Journal of Macroeconomics, Elsevier, vol. 31(1), pages 5-28, March.
    17. Corrado, Luisa & Holly, Sean, 2003. "Nonlinear Phillips curves, mixing feedback rules and the distribution of inflation and output," Journal of Economic Dynamics and Control, Elsevier, vol. 28(3), pages 467-492, December.
    18. He, Dequan & Holt, Matthew T., 2004. "Efficiency Of Forest Commodity Futures Markets," 2004 Annual meeting, August 1-4, Denver, CO 20344, American Agricultural Economics Association (New Name 2008: Agricultural and Applied Economics Association).
    19. Jesus Otero & Manuel Ramirez, 2002. "On the determinants of the inflation rate in Colombia: a disequilibrium market approach," BORRADORES DE INVESTIGACIÓN 003296, UNIVERSIDAD DEL ROSARIO.
    20. Valerie Herzberg & George Kapetanios & Simon Price, 2003. "Import prices and exchange rate pass-through: theory and evidence from the United Kingdom," Bank of England working papers 182, Bank of England.
    21. Amir Kia, 2005. "Overnight Monetary Policy in the United States: Active or Interest-Rate Smoothing?," Carleton Economic Papers 05-07, Carleton University, Department of Economics, revised Mar 2010.
    22. Huimin Chung & Tsung-Wu Ho & Ling-Ju Wei, 2005. "The dynamic relationship between the prices of ADRs and their underlying stocks: evidence from the threshold vector error correction model," Applied Economics, Taylor & Francis Journals, vol. 37(20), pages 2387-2394.
    23. repec:bdr:ensayo:v::y:2004:i:45:p:10-57 is not listed on IDEAS
    24. Mohamed el hédi Arouri & Fredj Jawadi, 2011. "Do on/off time series models reproduce emerging stock market comovements?," Economics Bulletin, AccessEcon, vol. 31(1), pages 960-968.
    25. Gabriella Deborah Legrenzi & Costas Milas, 2010. "Spend-and-Tax Adjustments and the Sustainability of the Government's Intertemporal Budget Constraint," CESifo Working Paper Series 2926, CESifo Group Munich.

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    Cointegration; Nonlinear Error Correction; Near Epoch Dependence;

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