IDEAS home Printed from https://ideas.repec.org/p/eui/euiwps/eco2004-08.html
   My bibliography  Save this paper

Residual Autocorrelation Testing for Vector Error Correction Models

Author

Listed:
  • Ralf BRUEGGEMANN
  • Helmut LUETKEPOHL
  • Pentti SAIKKONEN

Abstract

In applied time series analysis, checking for autocorrelation in a fitted model is a routine diagnostic tool. Therefore it is useful to know the asymptotic and small sample properties of the standard tests for the case when some of the variables are cointegrated. The properties of residual autocorrelations of vector error correction models (VECMs) and tests for residual autocorrelation are derived. In particular, the asymptotic distributions of Lagrange multiplier (LM) and portmanteau tests are given. Monte Carlo simulations show that the LM tests have advantages if autocorrelation of small order is tested whereas portmanteau tests are preferable for higher order residual autocorrelation. Their critical values have to be adjusted for the cointegration rank of the system, however.

Suggested Citation

  • Ralf BRUEGGEMANN & Helmut LUETKEPOHL & Pentti SAIKKONEN, 2004. "Residual Autocorrelation Testing for Vector Error Correction Models," Economics Working Papers ECO2004/08, European University Institute.
    • Handle: RePEc:eui:euiwps:eco2004/08
    as

    Download full text from publisher

    File URL: http://www.iue.it/PUB/ECO2004-8.pdf
    File Function: main text
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Saikkonen, Pentti, 2005. "Stability results for nonlinear error correction models," Journal of Econometrics, Elsevier, vol. 127(1), pages 69-81, July.
    2. Ralf Brüggemann & Helmut Lütkepohl, 2005. "Practical Problems with Reduced‐rank ML Estimators for Cointegration Parameters and a Simple Alternative," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 67(5), pages 673-690, October.
    3. Grayham E. Mizon & David F. Hendry, 1980. "An Empirical Application and Monte Carlo Analysis of Tests of Dynamic Specification," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 47(1), pages 21-45.
    4. Saikkonen, Pentti, 2001. "Statistical Inference In Cointegrated Vector Autoregressive Models With Nonlinear Time Trends In Cointegrating Relations," Econometric Theory, Cambridge University Press, vol. 17(2), pages 327-356, April.
    5. Saikkonen, Pentti, 2001. "Consistent Estimation In Cointegrated Vector Autoregressive Models With Nonlinear Time Trends In Cointegrating Relations," Econometric Theory, Cambridge University Press, vol. 17(2), pages 296-326, April.
    6. Saikkonen, Pentti, 1992. "Estimation and Testing of Cointegrated Systems by an Autoregressive Approximation," Econometric Theory, Cambridge University Press, vol. 8(1), pages 1-27, March.
    7. Hatemi-J, Abdulnasser, 2004. "Multivariate tests for autocorrelation in the stable and unstable VAR models," Economic Modelling, Elsevier, vol. 21(4), pages 661-683, July.
    8. David Edgerton & Ghazi Shukur, 1999. "Testing autocorrelation in a system perspective testing autocorrelation," Econometric Reviews, Taylor & Francis Journals, vol. 18(4), pages 343-386.
    9. Gregory C. Reinsel & Sung K. Ahn, 1992. "Vector Autoregressive Models With Unit Roots And Reduced Rank Structure:Estimation. Likelihood Ratio Test, And Forecasting," Journal of Time Series Analysis, Wiley Blackwell, vol. 13(4), pages 353-375, July.
    10. Pierre Duchesne, 2005. "Testing for serial correlation of unknown form in cointegrated time series models," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 57(3), pages 575-595, September.
    11. Lütkepohl,Helmut & Krätzig,Markus (ed.), 2004. "Applied Time Series Econometrics," Cambridge Books, Cambridge University Press, number 9780521839198.
    12. 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.
    13. Lütkepohl,Helmut & Krätzig,Markus (ed.), 2004. "Applied Time Series Econometrics," Cambridge Books, Cambridge University Press, number 9780521547871.
    14. Efstathios Paparoditis, 2005. "Testing the Fit of a Vector Autoregressive Moving Average Model," Journal of Time Series Analysis, Wiley Blackwell, vol. 26(4), pages 543-568, July.
    15. Johansen, Soren, 1995. "Likelihood-Based Inference in Cointegrated Vector Autoregressive Models," OUP Catalogue, Oxford University Press, number 9780198774501, Decembrie.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Hannu KOSKINEN, 2010. "Modelling of Structural Changes in Demand for Money Cointegration Relations," EcoMod2004 330600082, EcoMod.
    2. Lütkepohl,Helmut & Krätzig,Markus (ed.), 2004. "Applied Time Series Econometrics," Cambridge Books, Cambridge University Press, number 9780521547871.
    3. repec:kap:iaecre:v:14:y:2008:i:1:p:36-47 is not listed on IDEAS
    4. Sapkota, Niranjan & Grobys, Klaus, 2021. "Asset market equilibria in cryptocurrency markets: Evidence from a study of privacy and non-privacy coins," Journal of International Financial Markets, Institutions and Money, Elsevier, vol. 74(C).
    5. Helmut Luetkepohl, 2007. "Econometric Analysis with Vector Autoregressive Models," Economics Working Papers ECO2007/11, European University Institute.
    6. Aaron Mehrotra, 2008. "Demand for Money in Transition: Evidence from China’s Disinflation," International Advances in Economic Research, Springer;International Atlantic Economic Society, vol. 14(1), pages 36-47, February.
    7. Aaron Mehrotra, 2008. "Demand for Money in Transition: Evidence from China’s Disinflation," International Advances in Economic Research, Springer;International Atlantic Economic Society, vol. 14(1), pages 36-47, February.
    8. Glauben, Thomas & Loy, Jens-Peter & Körner, Julia, 2007. "Der Einfluss der Euro-Einführung auf die Preisentwicklung bei frischen Lebensmitteln in Deutschland," EconStor Open Access Articles and Book Chapters, ZBW - Leibniz Information Centre for Economics, vol. 127(3), pages 457-485.
    9. repec:zbw:bofitp:2006_010 is not listed on IDEAS
    10. Schreiber, Sven, 2008. "Did work-sharing work in France? Evidence from a structural co-integrated VAR model," European Journal of Political Economy, Elsevier, vol. 24(2), pages 478-490, June.
    11. Mai, Nhat Chi, 2019. "Stock Market And Economic Growth In Vietnam," OSF Preprints de8zq, Center for Open Science.
    12. Ihle, Rico & Amikuzuno, Joseph & von Cramon-Taubadel, Stephan, 2011. "Adapting Johansen’s Estimation Method for Flexible Regime-dependent Cointegration Modelling," 2011 International Congress, August 30-September 2, 2011, Zurich, Switzerland 114461, European Association of Agricultural Economists.
    13. Ange Nsouadi & Jules Sadefo Kamdem & Michel Terraza, 2015. "Analyse temps-fréquence du co-mouvement entre le marché européen du CO2 et les autres marchés de l'énergie," Working Papers 15-08, LAMETA, Universtiy of Montpellier, revised May 2015.
    14. , Aisdl, 2019. "Stock Market And Economic Growth In Vietnam," OSF Preprints ucbhp, Center for Open Science.
    15. Nazifi, Fatemeh, 2013. "Modelling the price spread between EUA and CER carbon prices," Energy Policy, Elsevier, vol. 56(C), pages 434-445.
    16. Fullerton, Thomas M., Jr. & Ceballos, Alejandro & Walke, Adam G., 2015. "Short-Term Forecasting Analysis for Municipal Water Demand," MPRA Paper 78259, University Library of Munich, Germany, revised 04 Aug 2015.
    17. Ange Nsouadi & Jules Sadefo Kamdem & Michel Terraza, 2013. "Analyse temps-fréquence de la relation entre les prix du quota et du crédit carbone," Working Papers 13-12, LAMETA, Universtiy of Montpellier, revised Nov 2013.
    18. Athanasios Votsis, 2017. "Exploring the spatiotemporal behavior of Helsinki’s housing prices with fractal geometry and co-integration," Journal of Geographical Systems, Springer, vol. 19(2), pages 133-155, April.
    19. Olmo, Jose & Sanso-Navarro, Marcos, 2015. "Changes in the transmission of monetary policy during crisis episodes: Evidence from the euro area and the U.S," Economic Modelling, Elsevier, vol. 48(C), pages 155-166.
    20. Amikuzuno, Joseph & Ihle, Rico, 2010. "Seasonal Asymmetric Price Transmission in Ghanaian Tomato Markets: Adapting Johansen’s Estimation Method," 2010 AAAE Third Conference/AEASA 48th Conference, September 19-23, 2010, Cape Town, South Africa 96814, African Association of Agricultural Economists (AAAE).
    21. Lütkepohl, Helmut & Saikkonen, Pentti, 1997. "Order selection in testing for the cointegrating rank of a VAR process," SFB 373 Discussion Papers 1997,93, Humboldt University of Berlin, Interdisciplinary Research Project 373: Quantification and Simulation of Economic Processes.
    22. Ansgar Belke & Robert Czudaj, 2010. "Is Euro Area Money Demand (Still) Stable? Cointegrated VAR Versus Single Equation Techniques," Applied Economics Quarterly (formerly: Konjunkturpolitik), Duncker & Humblot, Berlin, vol. 56(4), pages 285-315.

    More about this item

    Keywords

    cointegration; dynamic econometric models; vector autoregressions; vector error correction models; residual autocorrelation;
    All these keywords.

    JEL classification:

    • C32 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - Time-Series Models; Dynamic Quantile Regressions; Dynamic Treatment Effect Models; Diffusion Processes; State Space Models

    NEP fields

    This paper has been announced in the following NEP Reports:

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eui:euiwps:eco2004/08. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Cécile Brière (email available below). General contact details of provider: https://edirc.repec.org/data/deiueit.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.