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Error Correction and Long-Run Equilibrium in Continuous Time

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Author Info
Phillips, P C B

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Abstract

This paper deals with error correction models (ECM's) and cointegrated systems that are formulated in continuous time. Long-run equilibrium coefficients in the continuous system are always identified in the discrete time reduced form, so that there is no aliasing problem for these parameters. The long- run relationships are also preserved under quite general data filtering. Frequency domain procedures are outlined for estimation and inference. These methods are asymptotically optimal under Gaussian assumptions and they have the advantages of simplicity of computation and generality of specification, thereby avoiding some methodological problems of dynamic specification. In addition, they facilitate the treatment of data irregularities such as mixed stock and flow data and temporally aggregate partial equilibrium formulations. Models with restricted cointegrating matrices are also considered. Copyright 1991 by The Econometric Society.

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Publisher Info
Article provided by Econometric Society in its journal Econometrica.

Volume (Year): 59 (1991)
Issue (Month): 4 (July)
Pages: 967-80
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Handle: RePEc:ecm:emetrp:v:59:y:1991:i:4:p:967-80

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  1. Enrique Sentana & Antonio Diez de los Rios, 2007. "Testing Uncovered Interest Parity: A Continuous-Time Approach," Working Papers wp2007_0714, CEMFI. [Downloadable!]
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  2. Fernandes, Marcelo, 2001. "Nonparametric Entropy-Based Tests of Independence Between Stochastic Processes," Economics Working Papers (Ensaios Economicos da EPGE) 413, Graduate School of Economics, Getulio Vargas Foundation (Brazil). [Downloadable!]
  3. J. McCrorie, 2002. "The Likelihood of the Parameters of a Continuous Time Vector Autoregressive Model," Statistical Inference for Stochastic Processes, Springer, vol. 5(3), pages 273-286, October. [Downloadable!] (restricted)
  4. McCrorie, J.R. & Chambers, M.J., 2004. "Granger causality and the sampling of economic processes," Discussion Paper 39, Tilburg University, Center for Economic Research. [Downloadable!]
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  5. Chambers, M.J. & McCrorie, J.R., 2004. "Frequency domain gaussian estimation of temporally aggregated cointegrated systems," Discussion Paper 40, Tilburg University, Center for Economic Research. [Downloadable!]
  6. Gabriel Pons Rotger, 2000. "Temporal Aggregation and Ordinary Least Squares Estimation of Cointegrating Regressions," Econometric Society World Congress 2000 Contributed Papers 1317, Econometric Society. [Downloadable!]
  7. Paolo Guerrieri & Bernardo Maggi & Valentina Meliciani & Pier Carlo Padoan, 2005. "Technology Diffusion, Services, and Endogenous Growth in Europe. Is the Lisbon Strategy Useful?," IMF Working Papers 05/103, International Monetary Fund. [Downloadable!]
  8. Marcus J. Chambers, 2001. "Cointegration and Sampling Frequency," Economics Discussion Papers 531, University of Essex, Department of Economics. [Downloadable!]
  9. Nathan S. Balke & Thomas B. Fomby, 1992. "Threshold cointegration," Research Paper 9209, Federal Reserve Bank of Dallas. [Downloadable!]
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    • Balke, Nathan S & Fomby, Thomas B, 1997. "Threshold Cointegration," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 38(3), pages 627-45, August.
  10. Chambers, M.J. & McCrorie, J.R., 2004. "Identification and estimation of exchange rate models with unobservable fundamentals," Discussion Paper 38, Tilburg University, Center for Economic Research. [Downloadable!]
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  11. M. Kessler & A. Rahbek, 2004. "Identification and Inference for Multivariate Cointegrated and Ergodic Gaussian Diffusions," Statistical Inference for Stochastic Processes, Springer, vol. 7(2), pages 137-151, May. [Downloadable!] (restricted)
  12. Tim Hampton, 2001. "How much do import price shocks matter for consumer prices?," Reserve Bank of New Zealand Discussion Paper Series DP2001/06, Reserve Bank of New Zealand. [Downloadable!]
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