IDEAS home Printed from https://ideas.repec.org/p/ehu/biltok/10862.html
   My bibliography  Save this paper

A Note on Wavelet Correlation and Cointegration

Author

Listed:
  • Fernández Macho, Francisco Javier

Abstract

In a recent paper Leong-Huang:2010 {Journal of Applied Statistics 37, 215–233} proposed a wavelet-correlation-based approach to test for cointegration between two time series. However, correlation and cointegration are two different concepts even when wavelet analysis is used. It is known that statistics based on nonstationary integrated variables have non-standard asymptotic distributions. However, wavelet analysis offsets the integrating order of nonstationary series so that traditional asymptotics on stationary variables suffices to ascertain the statistical properties of wavelet-based statistics. Based on this, this note shows that wavelet correlations cannot be used as a test of cointegration.

Suggested Citation

  • Fernández Macho, Francisco Javier, 2013. "A Note on Wavelet Correlation and Cointegration," BILTOKI 1134-8984, Universidad del País Vasco - Departamento de Economía Aplicada III (Econometría y Estadística).
  • Handle: RePEc:ehu:biltok:10862
    as

    Download full text from publisher

    File URL: https://addi.ehu.es/handle/10810/10862
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Søren Johansen, 2007. "Correlation, regression, and cointegration of nonstationary economic time series," CREATES Research Papers 2007-35, Department of Economics and Business Economics, Aarhus University.
    2. Chee Kian Leong & Weihong Huang, 2010. "Testing for spurious and cointegrated regressions: A wavelet approach," Journal of Applied Statistics, Taylor & Francis Journals, vol. 37(2), pages 215-233.
    3. Phillips, P.C.B., 1986. "Understanding spurious regressions in econometrics," Journal of Econometrics, Elsevier, vol. 33(3), pages 311-340, December.
    4. Søren Johansen, 2012. "The Analysis of Nonstationary Time Series Using Regression, Correlation and Cointegration," Contemporary Economics, University of Economics and Human Sciences in Warsaw., vol. 6(2), June.
    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. Kim, Byung Yeon, 1997. "Soviet Household Saving Function," Economic Change and Restructuring, Springer, vol. 30(2-3), pages 181-203.
    2. Muhammad Zia Ullah Khan & Muhammad Illyas & Muqqadas Rahman & Chaudhary Abdul Rahman, 2015. "Money Monetization and Economic Growth in Pakistan," International Journal of Economics and Empirical Research (IJEER), The Economics and Social Development Organization (TESDO), vol. 3(4), pages 184-192, April.
    3. Yap, Wei Yim & Lam, Jasmine S.L., 2006. "Competition dynamics between container ports in East Asia," Transportation Research Part A: Policy and Practice, Elsevier, vol. 40(1), pages 35-51, January.
    4. Francesca Iorio & Stefano Fachin, 2014. "Savings and investments in the OECD: a panel cointegration study with a new bootstrap test," Empirical Economics, Springer, vol. 46(4), pages 1271-1300, June.
    5. Md. Sharif Hossain & Md. Thasinul Abedin, 2016. "Multivariate Dynamic Co-integration and Causality Analysis between Inflation and its Determinants," Journal of Economics and Behavioral Studies, AMH International, vol. 8(5), pages 240-250.
    6. repec:zbw:rwirep:0557 is not listed on IDEAS
    7. Gomez Zaldivar, M. & Ventosa-Santaularia, D., 2009. "Bilateral Relationship between Consumption and GDP in Mexico and the USA: A Comment," Applied Econometrics and International Development, Euro-American Association of Economic Development, vol. 9(1).
    8. Valérie Mignon & Christophe Hurlin, 2007. "Une synthèse des tests de cointégration sur données de panel," Économie et Prévision, Programme National Persée, vol. 180(4), pages 241-265.
    9. Mr. Jacques Bouhga-Hagbe, 2004. "A Theory of Workers' Remittances with An Application to Morocco," IMF Working Papers 2004/194, International Monetary Fund.
    10. Bühler, Wolfgang & Korn, Olaf, 1998. "Hedging langfristiger Lieferverpflichtungen mit kurzfristigen Futures: möglich oder unmöglich?," ZEW Discussion Papers 98-20, ZEW - Leibniz Centre for European Economic Research.
    11. Davis, George & Kanago, Bryce, 1998. "High and Uncertain Inflation: Results from a New Data Set," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 30(2), pages 218-230, May.
    12. Neil R. Ericsson, 2021. "Dynamic Econometrics in Action: A Biography of David F. Hendry," International Finance Discussion Papers 1311, Board of Governors of the Federal Reserve System (U.S.).
    13. Jacob Gyntelberg & Mico Loretan & Tientip Subhanij & Eric Chan, 2010. "Private information, stock markets, and exchange rates," BIS Papers chapters, in: Bank for International Settlements (ed.), The international financial crisis and policy challenges in Asia and the Pacific, volume 52, pages 186-210, Bank for International Settlements.
    14. Arai, Yoichi, 2016. "Testing For Linearity In Regressions With I(1) Processes," Hitotsubashi Journal of Economics, Hitotsubashi University, vol. 57(1), pages 111-138, June.
    15. Kremers, Jeroen J M & Ericsson, Neil R & Dolado, Juan J, 1992. "The Power of Cointegration Tests," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 54(3), pages 325-348, August.
    16. Tu, Yundong, 2017. "On spurious regressions with partial unit root processes," Economics Letters, Elsevier, vol. 150(C), pages 142-145.
    17. Bandi, Federico M. & Bretscher, Lorenzo & Tamoni, Andrea, 2023. "Return predictability with endogenous growth," Journal of Financial Economics, Elsevier, vol. 150(3).
    18. Entorf, Horst, 1997. "Random walks with drifts: Nonsense regression and spurious fixed-effect estimation," Journal of Econometrics, Elsevier, vol. 80(2), pages 287-296, October.
    19. Pierre Perron & Gabriel Rodríguez, "undated". "Residuals-based Tests for Cointegration with GLS Detrended Data," Boston University - Department of Economics - Working Papers Series wp2015-017, Boston University - Department of Economics, revised 19 Oct 2015.
    20. Pär Österholm, 2005. "The Taylor Rule: A Spurious Regression?," Bulletin of Economic Research, Wiley Blackwell, vol. 57(3), pages 217-247, July.
    21. Cheng Hsiao, 2007. "Panel data analysis—advantages and challenges," TEST: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 16(1), pages 1-22, May.

    More about this item

    Keywords

    econometric methods; integrated process; spectral analysis; time series models; unit roots; wavelet analysis.;
    All these keywords.

    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:ehu:biltok:10862. 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: Alcira Macías (email available below). General contact details of provider: https://edirc.repec.org/data/deehues.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.