IDEAS home Printed from https://ideas.repec.org/a/bpj/sndecm/v19y2015i4p397-413n1.html
   My bibliography  Save this article

More powerful cointegration tests with non-normal errors

Author

Listed:
  • Lee Hyejin

    (Department of Economics, Finance, and Legal Studies, University of Alabama, Tuscaloosa, AL 35487, USA)

  • Lee Junsoo

    (Department of Economics, Finance, and Legal Studies, University of Alabama, Tuscaloosa, AL 35487, USA)

  • Im Kyungso

    (Federal deposit Insurance Corporation (FDIC), 550 17th Street, NW, Washington, DC, USA)

Abstract

In this paper, we suggest new cointegration tests that can become more powerful in the presence of non-normal errors. Non-normal errors will not pose a problem in usual cointegration tests even when they are ignored. However, we show that they can become useful sources to improve the power of the tests when we use the “residual augmented least squares” (RALS) procedure to make use of nonlinear moment conditions driven by non-normal errors. The suggested testing procedure is easy to implement and it does not require any non-linear estimation techniques. We can exploit the information on the non-normal error distribution that is already available but ignored in the usual cointegration tests. Our simulation results show significant power gains over existing cointegration tests in the presence of non-normal errors.

Suggested Citation

  • Lee Hyejin & Lee Junsoo & Im Kyungso, 2015. "More powerful cointegration tests with non-normal errors," Studies in Nonlinear Dynamics & Econometrics, De Gruyter, vol. 19(4), pages 397-413, September.
    • Handle: RePEc:bpj:sndecm:v:19:y:2015:i:4:p:397-413:n:1
    DOI: 10.1515/snde-2013-0060
    as

    Download full text from publisher

    File URL: https://doi.org/10.1515/snde-2013-0060
    Download Restriction: For access to full text, subscription to the journal or payment for the individual article is required.
    File URL: https://libkey.io/10.1515/snde-2013-0060?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Im, Kyung So & Schmidt, Peter, 2008. "More efficient estimation under non-normality when higher moments do not depend on the regressors, using residual augmented least squares," Journal of Econometrics, Elsevier, vol. 144(1), pages 219-233, May.
    2. Peter Boswijk, H., 1994. "Testing for an unstable root in conditional and structural error correction models," Journal of Econometrics, Elsevier, vol. 63(1), pages 37-60, July.
    3. Banerjee, Anindya, et al, 1986. "Exploring Equilibrium Relationships in Econometrics through Static Models: Some Monte Carlo Evidence," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 48(3), pages 253-277, August.
    4. Harbo, Ingrid, et al, 1998. "Asymptotic Inference on Cointegrating Rank in Partial Systems," Journal of Business & Economic Statistics, American Statistical Association, vol. 16(4), pages 388-399, October.
    5. Jing Li & Junsoo Lee, 2010. "ADL tests for threshold cointegration," Journal of Time Series Analysis, Wiley Blackwell, vol. 31(4), pages 241-254, July.
    6. Zivot, Eric, 2000. "The Power Of Single Equation Tests For Cointegration When The Cointegrating Vector Is Prespecified," Econometric Theory, Cambridge University Press, vol. 16(3), pages 407-439, June.
    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. Pata, Ugur Korkut & Kartal, Mustafa Tevfik & Erdogan, Sinan & Sarkodie, Samuel Asumadu, 2023. "The role of renewable and nuclear energy R&D expenditures and income on environmental quality in Germany: Scrutinizing the EKC and LCC hypotheses with smooth structural changes," Applied Energy, Elsevier, vol. 342(C).
    2. Veli Yilanci & Recep Ulucak & Yaoqi Zhang & Valeria Andreoni, 2023. "The role of affluence, urbanization, and human capital for sustainable forest management in China: Robust findings from a new method of Fourier cointegration," Sustainable Development, John Wiley & Sons, Ltd., vol. 31(2), pages 812-824, April.
    3. Dong-Yop Oh & Hyejin Lee & Karl David Boulware, 2020. "A comment on interest rate pass-through: a non-normal approach," Empirical Economics, Springer, vol. 59(4), pages 2017-2035, October.
    4. Esra N. Kilci, 2022. "Can We Increase Health Expenditure Per Capita Through Higher Economic Growth? Empirical Evidence from Turkey," EKOIST Journal of Econometrics and Statistics, Istanbul University, Faculty of Economics, vol. 0(36), pages 137-152, June.
    5. Faryal, & Faisal, Faisal & Amin, Muhammad Yusuf & Haq, Zahoor Ul & Rahman, Sami Ur & Ali, Adnan, 2023. "Natural resources revenues, shadow economy and financial institutions depth: The way forward," Resources Policy, Elsevier, vol. 85(PB).
    6. Hyejin Lee & Dong-Yop Oh & Ming Meng, 2019. "Stationarity and cointegration of health care expenditure and GDP: evidence from tests with smooth structural shifts," Empirical Economics, Springer, vol. 57(2), pages 631-652, August.
    7. Dong-Yop Oh & Hyejin Lee & Karl David Boulware, 2016. "Conventional monetary policy and the degree of interest rate pass through in the long run: a non-normal approach," Wesleyan Economics Working Papers 2016-002, Wesleyan University, Department of Economics.
    8. Banerjee, Piyali & Arčabić, Vladimir & Lee, Hyejin, 2017. "Fourier ADL cointegration test to approximate smooth breaks with new evidence from Crude Oil Market," Economic Modelling, Elsevier, vol. 67(C), pages 114-124.
    9. González-Rivera, Gloria & Rodríguez Caballero, Carlos Vladimir, 2023. "Modelling intervals of minimum/maximum temperatures in the Iberian Peninsula," DES - Working Papers. Statistics and Econometrics. WS 37968, Universidad Carlos III de Madrid. Departamento de Estadística.

    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. Jing Li, 2017. "System-Equation ADL Test for Threshold Cointegration with an Application to the Term Structure of Interest Rates," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 79(1), pages 1-24, February.
    2. Gabriel Rodriguez & Pierre Perron, 2013. "Single-equation tests for Cointegration with GLS Detrended Data," Boston University - Department of Economics - Working Papers Series 2013-016, Boston University - Department of Economics.
    3. Joakim Westerlund, 2007. "Testing for Error Correction in Panel Data," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 69(6), pages 709-748, December.
    4. Jing Li & Junsoo Lee, 2010. "ADL tests for threshold cointegration," Journal of Time Series Analysis, Wiley Blackwell, vol. 31(4), pages 241-254, July.
    5. Dong-Yop Oh & Hyejin Lee & Karl David Boulware, 2016. "Conventional monetary policy and the degree of interest rate pass through in the long run: a non-normal approach," Wesleyan Economics Working Papers 2016-002, Wesleyan University, Department of Economics.
    6. Elliott, Graham & Jansson, Michael & Pesavento, Elena, 2004. "Optimal Power for Testing Potential Cointegrating Vectors with Known," University of California at San Diego, Economics Working Paper Series qt2bv7n071, Department of Economics, UC San Diego.
    7. Dong-Yop Oh & Hyejin Lee & Karl David Boulware, 2020. "A comment on interest rate pass-through: a non-normal approach," Empirical Economics, Springer, vol. 59(4), pages 2017-2035, October.
    8. Pesavento, Elena, 2004. "Analytical evaluation of the power of tests for the absence of cointegration," Journal of Econometrics, Elsevier, vol. 122(2), pages 349-384, October.
    9. M. Hashem Pesaran & Yongcheol Shin & Richard J. Smith, 2001. "Bounds testing approaches to the analysis of level relationships," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 16(3), pages 289-326.
    10. Enders, Walter & Im, Kyung So & Lee, Junsoo & Strazicich, Mark C., 2010. "IV threshold cointegration tests and the Taylor rule," Economic Modelling, Elsevier, vol. 27(6), pages 1463-1472, November.
    11. 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.
    12. Hyejin Lee & Dong-Yop Oh & Ming Meng, 2019. "Stationarity and cointegration of health care expenditure and GDP: evidence from tests with smooth structural shifts," Empirical Economics, Springer, vol. 57(2), pages 631-652, August.
    13. Uwe Hassler & Jürgen Wolters, 2006. "Autoregressive distributed lag models and cointegration," AStA Advances in Statistical Analysis, Springer;German Statistical Society, vol. 90(1), pages 59-74, March.
    14. David Aristei & Luca Pieroni, 2005. "Estimating the Role of Government Expenditure in Long-run Consumption," Quaderni del Dipartimento di Economia, Finanza e Statistica 13/2005, Università di Perugia, Dipartimento Economia.
    15. Uwe Hassler, 2000. "Cointegration Testing in Single Error‐Correction Equations in the Presence of Linear Time Trends," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 62(5), pages 621-632, December.
    16. Hüseyin Şen & Ayşe Kaya & Savaş Kaptan & Metehan Cömert, 2019. "Interest rates, inflation, and exchange rates in fragile EMEs: A fresh look at the long-run interrelationships," Working Papers halshs-02095652, HAL.
    17. Gengenbach, C. & Urbain, J.R.Y.J. & Westerlund, J., 2008. "Panel error correction testing with global stochastic trends," Research Memorandum 051, Maastricht University, Maastricht Research School of Economics of Technology and Organization (METEOR).
    18. Tsangyao Chang & Chia-hao Lee & Pei-I Chou, 2011. "Purchasing power parity in G-7 countries: Further evidence based on ADL test for threshold cointegration," Economics Bulletin, AccessEcon, vol. 31(2), pages 1172-1182.
    19. Pierre Perron & Gabriel Rodriguez, 2012. "Residual test for cointegration with GLS detrended data," Documentos de Trabajo / Working Papers 2012-327, Departamento de Economía - Pontificia Universidad Católica del Perú.
    20. Selahattin GURIS & Burak GURIS & Turgut UN, 2016. "Interest Rates, Fisher Effect And Economic Development In Turkey, 1989-2011," Revista Galega de Economía, University of Santiago de Compostela. Faculty of Economics and Business., vol. 25(2), pages 95-100.

    More about this item

    Keywords

    cointegration; non-normal errors; nonlinear processes; RALS;
    All these keywords.

    JEL classification:

    • C12 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Hypothesis Testing: General
    • C15 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Statistical Simulation Methods: General
    • C22 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Time-Series Models; Dynamic Quantile Regressions; Dynamic Treatment Effect Models; Diffusion Processes

    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:bpj:sndecm:v:19:y:2015:i:4:p:397-413:n:1. 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: Peter Golla (email available below). General contact details of provider: https://www.degruyter.com .

    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.