Open Access Journal Article

Vector Error Correction Models with Stationary and Nonstationary Variables

by Pu Chen a,* orcid
a
Melbourne Institute of Technology, Australia
*
Author to whom correspondence should be addressed.
EAL  2024, 55; 3(2), 55; https://doi.org/10.58567/eal03020004
Received: 10 December 2023 / Accepted: 14 January 2024 / Published Online: 15 June 2024

Abstract

Vector Error Correction Models (VECM) have become a standard tool in empirical economics for analyzing nonstationary time series data because they integrate two key concepts in economics: equilibrium and dynamic adjustment in a single model. The current standard VECM procedure is limited to time series data with the same degree of integration, i.e., all I(1) variables. However, empirical studies often involve time series data with different de‐grees of integration, necessitating the simultaneous handling of I(1) and I(0) time series. This paper extends the standard VECM to accommodate mixed I(1) and I(0) variables. The conditions for the mixed VECM are derived, and consequently, we present a test and estimation for the mixed VECM.


Copyright: © 2024 by Chen. This is an open-access article distributed under the terms of the Creative Commons Attribution License (CC BY) (Creative Commons Attribution 4.0 International License). The use, distribution or reproduction in other forums is permitted, provided the original author(s) or licensor are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these terms.

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ACS Style
Chen, P. Vector Error Correction Models with Stationary and Nonstationary Variables. Economic Analysis Letters, 2024, 3, 55. https://doi.org/10.58567/eal03020004
AMA Style
Chen P. Vector Error Correction Models with Stationary and Nonstationary Variables. Economic Analysis Letters; 2024, 3(2):55. https://doi.org/10.58567/eal03020004
Chicago/Turabian Style
Chen, Pu 2024. "Vector Error Correction Models with Stationary and Nonstationary Variables" Economic Analysis Letters 3, no.2:55. https://doi.org/10.58567/eal03020004
APA style
Chen, P. (2024). Vector Error Correction Models with Stationary and Nonstationary Variables. Economic Analysis Letters, 3(2), 55. https://doi.org/10.58567/eal03020004

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References

  1. Boswijk, H. P., and Doornik, J. A. (2004). Identifying, estimating and testing restricted cointegrated systems: An overview. Semantic Scholar 58(4), 440–465. https://doi.org/10.1111/j.1467-9574.2004.00270.x.
  2. Carter, S. (2007). Real wage productivity elasticity across advanced economies, 1963‐1996. Journal of Post Keynesian Economics 29(4), 573–600. https://doi.org/10.2753/PKE0160-3477290403.
  3. Engle, R., Hendry, D. F., and Richard, J.‐F. (1983). Exogeneity. Econometrica 51, 277–304. https://doi.org/10.2307/1911990.
  4. Hamilton, J. D. (1994). Time Series Analysis. Princeton University Press.
  5. Harbo, I., Johansen, S., Nielsen, B., and Rahbek, A. (1998). Asymptotic inference on cointegrating rank in partial systems. Journal of Business & Economic Statistics 16(4), 388–399. https://doi.org/10.1080/07350015.1998.10524779.
  6. Johansen, S. (1995). Likelihood-Based Inference in Cointegrated Vector Autoregressive Models. Oxford University Press.
  7. KRäMER, H. M. (2011). Bowley’s law: The diffusion of an empirical supposition into economic theory. Papers in Political Economy 61(2), 19–49. https://doi.org/10.3917/cep.061.0019.
  8. Moral‐Benito, E., and Servén, L. (2015). Testing weak exogeneity in cointegrated panels. Applied Economics 47(30), 3216–3228. https://doi.org/10.1080/00036846.2015.1013611.
  9. Pesaran, M. H., Shin, Y., and Smith, R. J. (2001). Bounds testing approaches to the analysis of level relationships. Journal of Applied Econometrics 16(3), 289–326. https://doi.org/10.1002/jae.616.