IDEAS home Printed from https://ideas.repec.org/p/cor/louvco/1994065.html
   My bibliography  Save this paper

Comovements in Large Systems

Author

Listed:
  • GONZALO, Jesus

    (Department of Economics, Boston University)

  • PITARAKIS, Jean-Yves

    (CORE, Université catholique de Louvain, B-1348 Louvain-la-Neuve, Belgium)

Abstract

In this paper we study various methods for detecting the co integrating rank as the number of variables gets large. We show that the use of standard tools will always lead to misleading inferences in such settings due to excessive size distortions. Particularly the LR test tends to produce too much cointegration. We introduce a new test statistic that displays excellent size properties in both small and large systems. In addition we propose a model selection procedure for selecting the cointegrating rank. A new criterion outperforms the standard information-theoretic criteria (AIC, BIC).

Suggested Citation

  • GONZALO, Jesus & PITARAKIS, Jean-Yves, 1994. "Comovements in Large Systems," LIDAM Discussion Papers CORE 1994065, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    • Handle: RePEc:cor:louvco:1994065
    as

    Download full text from publisher

    File URL: https://sites.uclouvain.be/core/publications/coredp/coredp1994.html
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Hannan, E. J., 1981. "Estimating the dimension of a linear system," Journal of Multivariate Analysis, Elsevier, vol. 11(4), pages 459-473, December.
    2. Quah, Danny, 1994. "Exploiting cross-section variation for unit root inference in dynamic data," Economics Letters, Elsevier, vol. 44(1-2), pages 9-19.
    3. Kasa, Kenneth, 1992. "Common stochastic trends in international stock markets," Journal of Monetary Economics, Elsevier, vol. 29(1), pages 95-124, February.
    4. Pesaran, M. Hashem & Smith, Ron, 1995. "Estimating long-run relationships from dynamic heterogeneous panels," Journal of Econometrics, Elsevier, vol. 68(1), pages 79-113, July.
    5. Zhao, L. C. & Krishnaiah, P. R. & Bai, Z. D., 1986. "On detection of the number of signals in presence of white noise," Journal of Multivariate Analysis, Elsevier, vol. 20(1), pages 1-25, October.
    6. Cheung, Yin-Wong & Lai, Kon S, 1993. "Finite-Sample Sizes of Johansen's Likelihood Ration Tests for Conintegration," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 55(3), pages 313-328, August.
    7. Brown, Bryan W, 1981. "Sample Size Requirements in Full Information Maximum Likelihood Estimation," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 22(2), pages 443-459, June.
    8. 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.
    9. Osterwald-Lenum, Michael, 1992. "A Note with Quantiles of the Asymptotic Distribution of the Maximum Likelihood Cointegration Rank Test Statistics," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 54(3), pages 461-472, August.
    10. Hamparsum Bozdogan, 1987. "Model selection and Akaike's Information Criterion (AIC): The general theory and its analytical extensions," Psychometrika, Springer;The Psychometric Society, vol. 52(3), pages 345-370, September.
    11. 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.
    12. Hirotugu Akaike, 1987. "Factor analysis and AIC," Psychometrika, Springer;The Psychometric Society, vol. 52(3), pages 317-332, September.
    13. Izenman, Alan Julian, 1975. "Reduced-rank regression for the multivariate linear model," Journal of Multivariate Analysis, Elsevier, vol. 5(2), pages 248-264, June.
    14. Hirotugu Akaike, 1969. "Fitting autoregressive models for prediction," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 21(1), pages 243-247, December.
    15. Johansen, Soren, 1988. "Statistical analysis of cointegration vectors," Journal of Economic Dynamics and Control, Elsevier, vol. 12(2-3), pages 231-254.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Onatski, Alexei & Wang, Chen, 2019. "Extreme canonical correlations and high-dimensional cointegration analysis," Journal of Econometrics, Elsevier, vol. 212(1), pages 307-322.
    2. Alfredo Marvão Pereira and Rui Manuel Pereira, 2020. "Infrastructure Investment, Labor Productivity, and International Competitiveness: The Case of Portugal," Journal of Economic Development, Chung-Ang Unviersity, Department of Economics, vol. 45(2), pages 1-29, June.
    3. Marie-Josée Godbout & Simon van Norden, 1996. "Unit-Root Test and Excess Returns," Staff Working Papers 96-10, Bank of Canada.
    4. Tu, Yundong & Yao, Qiwei & Zhang, Rongmao, 2020. "Error-correction factor models for high-dimensional cointegrated time series," LSE Research Online Documents on Economics 106994, London School of Economics and Political Science, LSE Library.
    5. Gonzalo, Jesus & Pitarakis, Jean-Yves, 1998. "Specification via model selection in vector error correction models," Economics Letters, Elsevier, vol. 60(3), pages 321-328, September.
    6. Jesús Gonzalo & Jean‐Yves Pitarakis, 2002. "Lag length estimation in large dimensional systems," Journal of Time Series Analysis, Wiley Blackwell, vol. 23(4), pages 401-423, July.
    7. Anna Bykhovskaya & Vadim Gorin, 2022. "Asymptotics of Cointegration Tests for High-Dimensional VAR($k$)," Papers 2202.07150, arXiv.org, revised Nov 2023.
    8. Rabindra Nepal & John Foster, 2016. "Testing for Market Integration in the Australian National Electricity Market," The Energy Journal, , vol. 37(4), pages 215-238, October.
    9. Lee, Tae-Hwy & Tse, Yiuman, 1996. "Cointegration tests with conditional heteroskedasticity," Journal of Econometrics, Elsevier, vol. 73(2), pages 401-410, August.
    10. Alexei Onatski & Chen Wang, 2018. "Alternative Asymptotics for Cointegration Tests in Large VARs," Econometrica, Econometric Society, vol. 86(4), pages 1465-1478, July.
    11. Gonzalo, Jesús & Pitarakis, Jean-Yves, 2021. "Spurious relationships in high-dimensional systems with strong or mild persistence," International Journal of Forecasting, Elsevier, vol. 37(4), pages 1480-1497.
    12. Marie-Josée Godbout & Simon van Norden, 1997. "Reconsidering Cointegration in International Finance: Three Case Studies of Size Distortion in Finite Samples," Staff Working Papers 97-1, Bank of Canada.
    13. Franses, Philip Hans & Kloek, Teun & Lucas, Andre, 1998. "Outlier robust analysis of long-run marketing effects for weekly scanning data," Journal of Econometrics, Elsevier, vol. 89(1-2), pages 293-315, November.
    14. Ho, Mun S & Sorensen, Bent E, 1996. "Finding Cointegration Rank in High Dimensional Systems Using the Johansen Test: An Illustration Using Data Based Monte Carlo Simulations," The Review of Economics and Statistics, MIT Press, vol. 78(4), pages 726-732, November.

    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. Kari Heimonen, 2006. "Time-Varying Fundamentals of the Euro-Dollar Exchange Rate," International Economic Journal, Taylor & Francis Journals, vol. 20(4), pages 385-407.
    2. Philip Arestis & Ambika D. Luintel & Kul B. Luintel, 2004. "Does Financial Structure Matter?," Finance 0401006, University Library of Munich, Germany.
    3. Gaolu Zou & K. W. Chau, 2019. "Long- and Short-Run Effects of Fuel Prices on Freight Transportation Volumes in Shanghai," Sustainability, MDPI, vol. 11(18), pages 1-12, September.
    4. Norman J. Morin, 2006. "Likelihood ratio tests on cointegrating vectors, disequilibrium adjustment vectors, and their orthogonal complements," Finance and Economics Discussion Series 2006-21, Board of Governors of the Federal Reserve System (U.S.).
    5. Giorgio Canarella & Stephen M. Miller & Stephen K. Pollard, 2008. "Dynamic Stock Market Interactions between the Canadian, Mexican, and the United States Markets: The NAFTA Experience," Working papers 2008-49, University of Connecticut, Department of Economics.
    6. Gaolu Zou & Kwong Wing Chau, 2020. "Effects of International Crude Oil Prices on Energy Consumption in China," Energies, MDPI, vol. 13(15), pages 1-17, July.
    7. Liang, Qi & Teng, Jian-Zhou, 2006. "Financial development and economic growth: Evidence from China," China Economic Review, Elsevier, vol. 17(4), pages 395-411.
    8. Ahmed, Walid M.A., 2008. "Cointegration and dynamic linkages of international stock markets: an emerging market perspective," MPRA Paper 26986, University Library of Munich, Germany.
    9. Clarida, Richard H. & Sarno, Lucio & Taylor, Mark P. & Valente, Giorgio, 2003. "The out-of-sample success of term structure models as exchange rate predictors: a step beyond," Journal of International Economics, Elsevier, vol. 60(1), pages 61-83, May.
    10. Tom Engsted & Jesper Lund, 1997. "Common stochastic trends in international stock prices and dividends: an example of testing overidentifying restrictions on multiple cointegration vectors," Applied Financial Economics, Taylor & Francis Journals, vol. 7(6), pages 659-665.
    11. Mallory Mindy & Lence Sergio H., 2012. "Testing for Cointegration in the Presence of Moving Average Errors," Journal of Time Series Econometrics, De Gruyter, vol. 4(2), pages 1-68, November.
    12. Mansor H. Ibrahim, 2006. "Stock Prices and Bank Loan Dynamics in a Developing Country: The Case of Malaysia," Journal of Applied Economics, Taylor & Francis Journals, vol. 9(1), pages 71-89, May.
    13. Asai Manabu & Peiris Shelton & McAleer Michael & Allen David E., 2020. "Cointegrated Dynamics for a Generalized Long Memory Process: Application to Interest Rates," Journal of Time Series Econometrics, De Gruyter, vol. 12(1), pages 1-18, January.
    14. Rapach, David E. & Wohar, Mark E., 2002. "Testing the monetary model of exchange rate determination: new evidence from a century of data," Journal of International Economics, Elsevier, vol. 58(2), pages 359-385, December.
    15. Mazza, Paolo & Petitjean, Mikael, 2015. "How integrated is the European carbon derivatives market?," Finance Research Letters, Elsevier, vol. 15(C), pages 18-30.
    16. Sharma, Subhash C. & Wongbangpo, Praphan, 2002. "Long-term trends and cycles in ASEAN stock markets," Review of Financial Economics, Elsevier, vol. 11(4), pages 299-315.
    17. Baharumshah, Ahmad Zubaidi & Masih, A. Mansur M., 2005. "Current account, exchange rate dynamics and the predictability: the experience of Malaysia and Singapore," Journal of International Financial Markets, Institutions and Money, Elsevier, vol. 15(3), pages 255-270, July.
    18. Friberg, Kent, 2003. "Intersectoral Wage Linkages in Sweden," Working Paper Series 158, Sveriges Riksbank (Central Bank of Sweden).
    19. Ibhagui, Oyakhilome W., 2019. "Does the long-run monetary model hold for Sub-Saharan Africa? A time series and panel-cointegration study," Research in International Business and Finance, Elsevier, vol. 47(C), pages 279-303.
    20. Baker, Mindy Lyn, 2009. "Three essays concerning agriculture and energy," ISU General Staff Papers 200901010800001849, Iowa State University, Department of Economics.

    More about this item

    Keywords

    cointegration; information criteria; large systems; likelihood ratio tests;
    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
    • 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:cor:louvco:1994065. 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: Alain GILLIS (email available below). General contact details of provider: https://edirc.repec.org/data/coreebe.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.