IDEAS home Printed from https://ideas.repec.org/a/psc/journl/v12y2020i4p317-345.html
   My bibliography  Save this article

Structural Change in the Deterministic and Stochastic Part of VECM. I(1) and I(2) Case

Author

Listed:
  • Michał Majsterek

    (University of Lodz)

  • Emilia Gosińska

    (University of Lodz)

Abstract

The paper analyses the consequences of structural change in the presence of non-stationary stochastic processes I(1) or I(2). The structural change may concern the deterministic structure (in particular, the trend and the constant term) as well as the process generating the stochastic part. The focus of the paper is on the case of a discrete change in a regime for which the moment of switch is known. A change in the deterministic part does not alter the character of the cointegration relationships but its consequences for cotrending and cobreaking are interesting. The consequences of a change in the stochastic part are more complex, because then the stochastic process as well as the deterministic structure of the VECM are modified. The restrictions are analysed for both cases.

Suggested Citation

  • Michał Majsterek & Emilia Gosińska, 2020. "Structural Change in the Deterministic and Stochastic Part of VECM. I(1) and I(2) Case," Central European Journal of Economic Modelling and Econometrics, Central European Journal of Economic Modelling and Econometrics, vol. 12(4), pages 317-345, December.
    • Handle: RePEc:psc:journl:v:12:y:2020:i:4:p:317-345
    as

    Download full text from publisher

    File URL: http://cejeme.org/publishedarticles/2020-47-26-637420204327098542-9590.pdf
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Pesaran, M. Hashem & Shin, Yongcheol & Smith, Richard J., 2000. "Structural analysis of vector error correction models with exogenous I(1) variables," Journal of Econometrics, Elsevier, vol. 97(2), pages 293-343, August.
    2. Carsten Trenkler & Pentti Saikkonen & Helmut Lütkepohl, 2008. "Testing for the Cointegrating Rank of a VAR Process with Level Shift and Trend Break," Journal of Time Series Analysis, Wiley Blackwell, vol. 29(2), pages 331-358, March.
    3. Saikkonen, Pentti & Lütkepohl, Helmut, 2000. "Testing For The Cointegrating Rank Of A Var Process With An Intercept," Econometric Theory, Cambridge University Press, vol. 16(3), pages 373-406, June.
    4. Paruolo, Paolo, 1996. "On the determination of integration indices in I(2) systems," Journal of Econometrics, Elsevier, vol. 72(1-2), pages 313-356.
    5. Saikkonen, Pentti & Lutkepohl, Helmut, 2000. "Testing for the Cointegrating Rank of a VAR Process with Structural Shifts," Journal of Business & Economic Statistics, American Statistical Association, vol. 18(4), pages 451-464, October.
    6. Johansen, Soren, 1995. "Likelihood-Based Inference in Cointegrated Vector Autoregressive Models," OUP Catalogue, Oxford University Press, number 9780198774501.
    7. Granger, Clive W.J. & Terasvirta, Timo & Patton, Andrew J., 2006. "Common factors in conditional distributions for bivariate time series," Journal of Econometrics, Elsevier, vol. 132(1), pages 43-57, May.
    8. Beveridge, Stephen & Nelson, Charles R., 1981. "A new approach to decomposition of economic time series into permanent and transitory components with particular attention to measurement of the `business cycle'," Journal of Monetary Economics, Elsevier, vol. 7(2), pages 151-174.
    9. Lutkepohl, Helmut & Saikkonen, Pentti, 2000. "Testing for the cointegrating rank of a VAR process with a time trend," Journal of Econometrics, Elsevier, vol. 95(1), pages 177-198, March.
    10. Johansen, Soren, 1988. "Statistical analysis of cointegration vectors," Journal of Economic Dynamics and Control, Elsevier, vol. 12(2-3), pages 231-254.
    11. Juselius, Katarina, 2006. "The Cointegrated VAR Model: Methodology and Applications," OUP Catalogue, Oxford University Press, number 9780199285679.
    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. Skrobotov, Anton, 2021. "Structural breaks in cointegration models: Multivariate case," Applied Econometrics, Russian Presidential Academy of National Economy and Public Administration (RANEPA), vol. 64, pages 83-106.
    2. Hallin, M. & van den Akker, R. & Werker, B.J.M., 2012. "Rank-based Tests of the Cointegrating Rank in Semiparametric Error Correction Models," Other publications TiSEM bc68a2f2-3ca3-443c-b3ac-f, Tilburg University, School of Economics and Management.
    3. John D. Levendis, 2018. "Time Series Econometrics," Springer Texts in Business and Economics, Springer, number 978-3-319-98282-3, August.
    4. Minoas Koukouritakis, 2017. "Eurozone debt crisis and bond yields convergence: evidence from the new EU countries," Economic Change and Restructuring, Springer, vol. 50(3), pages 239-258, August.
    5. Rodríguez-Caballero, Carlos Vladimir & Ventosa-Santaulària, Daniel, 2017. "Energy-growth long-term relationship under structural breaks. Evidence from Canada, 17 Latin American economies and the USA," Energy Economics, Elsevier, vol. 61(C), pages 121-134.
    6. Emilia Gosińska & Aleksander Welfe, 2022. "The Cointegrated VAR Model with Deterministic Structural Breaks," Central European Journal of Economic Modelling and Econometrics, Central European Journal of Economic Modelling and Econometrics, vol. 14(3), pages 335-350, September.
    7. Zhaoxing Gao & Ruey S. Tsay, 2020. "Modeling High-Dimensional Unit-Root Time Series," Papers 2005.03496, arXiv.org, revised Aug 2020.
    8. Giannellis, Nikolaos & Koukouritakis, Minoas, 2013. "Exchange rate misalignment and inflation rate persistence: Evidence from Latin American countries," International Review of Economics & Finance, Elsevier, vol. 25(C), pages 202-218.
    9. Guillermo Carlomagno & Antoni Espasa, 2021. "Discovering Specific Common Trends in a Large Set of Disaggregates: Statistical Procedures, their Properties and an Empirical Application," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 83(3), pages 641-662, June.
    10. Guillaume Chevillon, 2017. "Robust cointegration testing in the presence of weak trends, with an application to the human origin of global warming," Econometric Reviews, Taylor & Francis Journals, vol. 36(5), pages 514-545, May.
    11. Boswijk, H. Peter & Jansson, Michael & Nielsen, Morten Ørregaard, 2015. "Improved likelihood ratio tests for cointegration rank in the VAR model," Journal of Econometrics, Elsevier, vol. 184(1), pages 97-110.
    12. Dimitrios Sideris, 2011. "Optimum currency areas, structural changes and the endogeneity of the OCA criteria: evidence from six new EU member states," Applied Financial Economics, Taylor & Francis Journals, vol. 21(4), pages 195-206.
    13. Byrne, Joseph P. & Nagayasu, Jun, 2010. "Structural breaks in the real exchange rate and real interest rate relationship," Global Finance Journal, Elsevier, vol. 21(2), pages 138-151.
    14. Nikolaos Giannellis & Minoas Koukouritakis, 2016. "Eurozone's Leader and its Followers: Are their Markets Integrated Enough?," Working Papers 1607, University of Crete, Department of Economics.
    15. Beckmann, Joscha & Czudaj, Robert, 2013. "Gold as an inflation hedge in a time-varying coefficient framework," The North American Journal of Economics and Finance, Elsevier, vol. 24(C), pages 208-222.
    16. Lusine Lusinyan & John Thornton, 2011. "Unit roots, structural breaks and cointegration in the UK public finances, 1750-2004," Applied Economics, Taylor & Francis Journals, vol. 43(20), pages 2583-2592.
    17. Aviral Kumar Tiwari, 2012. "Reassessment of Sustainability of Current Account Deficit in India," South-Eastern Europe Journal of Economics, Association of Economic Universities of South and Eastern Europe and the Black Sea Region, vol. 10(1), pages 67-79.
    18. Hallin, M. & Werker, B.J.M. & van den Akker, R., 2015. "Optimal Pseudo-Gaussian and Rank-based Tests of the Cointegration Rank in Semiparametric Error-correction Models," Discussion Paper 2015-001, Tilburg University, Center for Economic Research.
    19. Koukouritakis, Minoas & Papadopoulos, Athanasios P. & Yannopoulos, Andreas, 2014. "Transmission effects in the presence of structural breaks: Evidence from South-Eastern European countries," Economic Modelling, Elsevier, vol. 41(C), pages 298-311.
    20. Koukouritakis, Minoas, 2013. "Expectations hypothesis in the context of debt crisis: Evidence from five major EU countries," Research in Economics, Elsevier, vol. 67(3), pages 243-258.

    More about this item

    Keywords

    structural change; DGP; cointegration; VAR model;
    All these keywords.

    JEL classification:

    • C01 - Mathematical and Quantitative Methods - - General - - - Econometrics
    • 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
    • C52 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Model Evaluation, Validation, and Selection

    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:psc:journl:v:12:y:2020:i:4:p:317-345. 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: Damian Jelito (email available below). General contact details of provider: http://cejeme.org/ .

    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.