IDEAS home Printed from
MyIDEAS: Log in (now much improved!) to save this article

Discrete Euler processes and their applications

Listed author(s):
  • Chu-Ping C. Vijverberg

    (Department of Economics, Wichita State University, Wichita, Kansas, USA)

  • Henry L. Gray

    (Department of Statistical Science, Southern Methodist University, Dallas, Texas, USA)

Registered author(s):

    This paper introduces discrete Euler processes and shows their application in detecting and forecasting cycles in non-stationary data where periodic behavior changes approximately linearly in time. A discrete Euler process becomes a classical stationary process if 'time' is transformed properly. By moving from one time domain to another, one may deform certain time-varying data to non-time-varying data. With these non-time-varying data on the deformed timescale, one may use traditional tools to do parameter estimation and forecasts. The obtained results then can be transformed back to the original timescale. For datasets with an underlying discrete Euler process, the sample M-spectrum and the spectra estimator of a Euler model (i.e., EAR spectral) are used to detect cycles of a Euler process. Beam response and whale data are used to demonstrate the usefulness of a Euler model. Copyright © 2008 John Wiley & Sons, Ltd.

    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:
    File Function: Link to full text; subscription required
    Download Restriction: no

    Article provided by John Wiley & Sons, Ltd. in its journal Journal of Forecasting.

    Volume (Year): 28 (2009)
    Issue (Month): 4 ()
    Pages: 293-315

    in new window

    Handle: RePEc:jof:jforec:v:28:y:2009:i:4:p:293-315
    DOI: 10.1002/for.1108
    Contact details of provider: Web page:

    No references listed on IDEAS
    You can help add them by filling out this form.

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

    When requesting a correction, please mention this item's handle: RePEc:jof:jforec:v:28:y:2009:i:4:p:293-315. 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: (Wiley-Blackwell Digital Licensing)

    or (Christopher F. Baum)

    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.

    This information is provided to you by IDEAS at the Research Division of the Federal Reserve Bank of St. Louis using RePEc data.