IDEAS home Printed from https://ideas.repec.org/p/anc/wpaper/395.html
   My bibliography  Save this paper

Can you do the wrong thing and still be right? Hypothesis Testing in I(2) and near-I(2) cointegrated VARs

Author

Listed:
  • Francesca DI IORIO

    (Universit… di Napoli "Federico II")

  • Stefano FACHIN

    (Universir… La Sapienza, Roma)

  • Riccardo LUCCHETTI

    () (Universit… Politecnica delle Marche, Dipartimento di Scienze Economiche e Sociali)

Abstract

We review the I(2) model in the perspective of its application to near-I(2) data, and report the results of some Monte Carlo simulations on the small sample performance of asymptotic tests on the long-run coefficients in both I(2) and near-I(2) systems. Our findings suggest that these tests suffer from some finite-sample issues, such as size bias. However, the behaviour of these statistics is not markedly different in the I(2) and near-I(2) case at ordinary sample sizes, so the usage of the I(2) model with near-I(2) data is perfectly defensible in finite samples.

Suggested Citation

  • Francesca DI IORIO & Stefano FACHIN & Riccardo LUCCHETTI, 2013. "Can you do the wrong thing and still be right? Hypothesis Testing in I(2) and near-I(2) cointegrated VARs," Working Papers 395, Universita' Politecnica delle Marche (I), Dipartimento di Scienze Economiche e Sociali.
  • Handle: RePEc:anc:wpaper:395
    as

    Download full text from publisher

    File URL: http://docs.dises.univpm.it/web/quaderni/pdf/395.pdf
    File Function: First version, 2013
    Download Restriction: no

    Other versions of this item:

    References listed on IDEAS

    as
    1. Serena Ng & Pierre Perron, 2001. "LAG Length Selection and the Construction of Unit Root Tests with Good Size and Power," Econometrica, Econometric Society, vol. 69(6), pages 1519-1554, November.
    2. Luca Fanelli & Emanuele Bacchiocchi, 2005. "Testing the purchasing power parity through I(2) cointegration techniques," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 20(6), pages 749-770.
    3. MacKinnon, James G, 1996. "Numerical Distribution Functions for Unit Root and Cointegration Tests," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 11(6), pages 601-618, Nov.-Dec..
    4. Takamitsu Kurita & Heino Bohn Nielsen & Anders Rahbek, 2011. "An I(2) cointegration model with piecewise linear trends," Econometrics Journal, Royal Economic Society, vol. 14(2), pages 131-155, July.
    5. Hans Christian Kongsted, 2003. "An I(2) cointegration analysis of small-country import price determination," Econometrics Journal, Royal Economic Society, vol. 6(1), pages 53-71, June.
    6. Johansen, Søren & Juselius, Katarina & Frydman, Roman & Goldberg, Michael, 2010. "Testing hypotheses in an I(2) model with piecewise linear trends. An analysis of the persistent long swings in the Dmk/$ rate," Journal of Econometrics, Elsevier, vol. 158(1), pages 117-129, September.
    7. Paruolo, Paolo & Rahbek, Anders, 1999. "Weak exogeneity in I(2) VAR systems," Journal of Econometrics, Elsevier, vol. 93(2), pages 281-308, December.
    8. Heino Nielsen & Christopher Bowdler, 2006. "Inflation adjustment in the open economy: an I(2) analysis of UK prices," Empirical Economics, Springer, vol. 31(3), pages 569-586, September.
    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. Massimo Franchi & Søren Johansen, 2017. "Improved Inference on Cointegrating Vectors in the Presence of a near Unit Root Using Adjusted Quantiles," Econometrics, MDPI, Open Access Journal, vol. 5(2), pages 1-20, June.

    More about this item

    Keywords

    Cointegration; Hypothesis testing; I(2); near-I(2);

    JEL classification:

    • C12 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Hypothesis Testing: General
    • 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

    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:anc:wpaper:395. See general information about how to correct material in RePEc.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Maurizio Mariotti). General contact details of provider: http://edirc.repec.org/data/deancit.html .

    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 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.

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

    IDEAS is a RePEc service hosted by the Research Division of the Federal Reserve Bank of St. Louis . RePEc uses bibliographic data supplied by the respective publishers.