IDEAS home Printed from https://ideas.repec.org/a/cup/etheor/v17y2001i05p889-912_17.html
   My bibliography  Save this article

Identification And Dichotomization Of Long- And Short-Run Relations Of Cointegrated Vector Autoregressive Models

Author

Listed:
  • Hsiao, Cheng

Abstract

We show that the usual rank condition is necessary and sufficient to identify a vector autoregressive process whether the variables are I(0) or I(d) for d = 1,2,.... We then use this rank condition to demonstrate the interdependence between the identification of short-run and long-run relations of cointegrated process. We find that both the short-run and long-run relations can be identified without the existence of prior information to identify either relation. But if there exists a set of prior restrictions to identify the short-run relation, then this same set of restrictions is sufficient to identify the corresponding long-run relation. On the other hand, it is in general not possible to identify the long-run relations without information on the complete structure. The relationship between the identification of a vector autoregressive process and a Cowles Commission dynamic simultaneous equations model is also clarified.

Suggested Citation

  • Hsiao, Cheng, 2001. "Identification And Dichotomization Of Long- And Short-Run Relations Of Cointegrated Vector Autoregressive Models," Econometric Theory, Cambridge University Press, vol. 17(5), pages 889-912, October.
  • Handle: RePEc:cup:etheor:v:17:y:2001:i:05:p:889-912_17
    as

    Download full text from publisher

    File URL: https://www.cambridge.org/core/product/identifier/S026646660117502X/type/journal_article
    File Function: link to article abstract page
    Download Restriction: no
    ---><---

    Citations

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


    Cited by:

    1. Juan F. Rubio-Ramírez & Daniel F. Waggoner & Tao Zha, 2010. "Structural Vector Autoregressions: Theory of Identification and Algorithms for Inference," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 77(2), pages 665-696.
    2. Lightwood, James & Glantz, Stanton, 2011. "Effect of the Arizona tobacco control program on cigarette consumption and healthcare expenditures," Social Science & Medicine, Elsevier, vol. 72(2), pages 166-172, January.
    3. Hsiao, Cheng & Wang, Siyan, 2006. "Modified two-stage least-squares estimators for the estimation of a structural vector autoregressive integrated process," Journal of Econometrics, Elsevier, vol. 135(1-2), pages 427-463.
    4. Rangarajan, C. & Srivastava, D.K., 2005. "Fiscal deficits and government debt in India: Implications for growth and stabilisation," Working Papers 05/35, National Institute of Public Finance and Policy.
    5. repec:wyi:journl:002065 is not listed on IDEAS

    More about this item

    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:cup:etheor:v:17:y:2001:i:05:p:889-912_17. 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.

    We have no bibliographic references for this item. You can help adding them by using 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: Kirk Stebbing (email available below). General contact details of provider: https://www.cambridge.org/ect .

    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.