Advanced Search
MyIDEAS: Login to save this paper or follow this series

Statistical tests and estimators of the rank of a matrix and their applications in econometric modelling

Contents:

Author Info

  • Camba-Méndez, Gonzalo
  • Kapetanios, George
Registered author(s):

    Abstract

    Testing and estimating the rank of a matrix of estimated parameters is key in a large variety of econometric modelling scenarios. This paper describes general methods to test for and estimate the rank of a matrix, and provides details on a variety of modelling scenarios in the econometrics literature where such methods are required. Four different methods to test the true rank of a general matrix are described, as well as one method that can handle the case of a matrix subject to parameter constraints associated with defineteness structures. The technical requirements for the implementation of the tests of rank of a general matrix differ and hence there are merits to all of them that justify their use in applied work. Nonetheless, we review available evidence of their small sample properties in the context of different modelling scenarios where all, or some, are applicable. JEL Classification: C12, C15, C32

    Download Info

    If you experience problems downloading a file, check if you have the proper application to view it first. In case of further problems read the IDEAS help page. Note that these files are not on the IDEAS site. Please be patient as the files may be large.
    File URL: http://www.ecb.europa.eu/pub/pdf/scpwps/ecbwp850.pdf
    Download Restriction: no

    Bibliographic Info

    Paper provided by European Central Bank in its series Working Paper Series with number 0850.

    as in new window
    Length:
    Date of creation: Jan 2008
    Date of revision:
    Handle: RePEc:ecb:ecbwps:20080850

    Contact details of provider:
    Postal: Postfach 16 03 19, Frankfurt am Main, Germany
    Phone: +49 69 1344 0
    Fax: +49 69 1344 6000
    Web page: http://www.ecb.europa.eu/home/html/index.en.html
    More information through EDIRC

    Order Information:
    Postal: Press and Information Division, European Central Bank, Kaiserstrasse 29, 60311 Frankfurt am Main, Germany
    Email:

    Related research

    Keywords: model specification; Multiple time series; tests of rank;

    Find related papers by JEL classification:

    This paper has been announced in the following NEP Reports:

    References

    References listed on IDEAS
    Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
    as in new window
    1. Gonzalo Camba-Mendez & George Kapetanios, 2005. "Estimating the Rank of the Spectral Density Matrix," Journal of Time Series Analysis, Wiley Blackwell, vol. 26(1), pages 37-48, 01.
    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 in new window

    Cited by:
    1. Davide Pettenuzzo & Halbert White, 2010. "Granger Causality, Exogeneity, Cointegration, and Economic Policy Analysis," Working Papers, Brandeis University, Department of Economics and International Businesss School 36, Brandeis University, Department of Economics and International Businesss School.

    Lists

    This item is not listed on Wikipedia, on a reading list or among the top items on IDEAS.

    Statistics

    Access and download statistics

    Corrections

    When requesting a correction, please mention this item's handle: RePEc:ecb:ecbwps:20080850. 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: (Official Publications).

    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 references are entirely missing, you can add them using this form.

    If the full references list an item that is present in RePEc, but the system did not link 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 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.