Advanced Search
MyIDEAS: Login to save this article or follow this journal

Dimension estimation with the BDS-G statistic

Contents:

Author Info

  • M. Matilla-Garcia
  • P. Sanz
  • F. J. Vazquez

Abstract

The issue of time delay has been controversial among the specialized literature. In fact, there exist some contrasted methods to choose it. It is the case that even though they are investigated for chaotic series, they fail to detect which series come from a deterministic and chaotic system. In this study a new procedure for selecting the delay time which produces good results about the estimation of the correlation dimension in chaotic series is introduced. The method is based upon a statistic (BDS-G), rooted on the integral correlation function, that takes advantage of the information contained in the data in terms of dependence, and it uses it to choose proper delay times and embedding dimensions. The results for the studied series, even for small data sets, are satisfactory.

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.tandfonline.com/doi/abs/10.1080/0003684042000247398
Download Restriction: Access to full text is restricted to subscribers.

As the access to this document is restricted, you may want to look for a different version under "Related research" (further below) or search for a different version of it.

Bibliographic Info

Article provided by Taylor & Francis Journals in its journal Applied Economics.

Volume (Year): 36 (2004)
Issue (Month): 11 ()
Pages: 1219-1223

as in new window
Handle: RePEc:taf:applec:v:36:y:2004:i:11:p:1219-1223

Contact details of provider:
Web page: http://www.tandfonline.com/RAEC20

Order Information:
Web: http://www.tandfonline.com/pricing/journal/RAEC20

Related research

Keywords:

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. Brock,W.A., 2000. "Chaos theory," Working papers 8, Wisconsin Madison - Social Systems.
  2. William Barnett, 2005. "Monetary Aggregation," WORKING PAPERS SERIES IN THEORETICAL AND APPLIED ECONOMICS 200510, University of Kansas, Department of Economics, revised Mar 2005.
  3. Panas, Epaminondas & Ninni, Vassilia, 2000. "Are oil markets chaotic? A non-linear dynamic analysis," Energy Economics, Elsevier, vol. 22(5), pages 549-568, October.
  4. Ramsey, J.B. & Sayers, C.L. & Rothman, P., 1988. "The Statistical Properties Of Dimension Calculations Using Small Data Sets: Some Economic Applications," Papers 15, Houston - Department of Economics.
  5. Frank, Murray & Stengos, Thanasis, 1989. "Measuring the Strangeness of Gold and Silver Rates of Return," Review of Economic Studies, Wiley Blackwell, vol. 56(4), pages 553-67, October.
  6. repec:att:wimass:9520 is not listed on IDEAS
  7. Scheinkman, Jose A & LeBaron, Blake, 1989. "Nonlinear Dynamics and Stock Returns," The Journal of Business, University of Chicago Press, vol. 62(3), pages 311-37, July.
  8. Mayfield, E Scott & Mizrach, Bruce, 1992. "On Determining the Dimension of Real-Time Stock-Price Data," Journal of Business & Economic Statistics, American Statistical Association, vol. 10(3), pages 367-74, July.
  9. Mariano Matilla-Garcia & Paloma Sanz & Francisco Vazquez, 2005. "The BDS test and delay time," Applied Economics Letters, Taylor & Francis Journals, vol. 12(2), pages 109-113.
  10. Brock, William A. & Sayers, Chera L., 1988. "Is the business cycle characterized by deterministic chaos?," Journal of Monetary Economics, Elsevier, vol. 22(1), pages 71-90, July.
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. Mariano Matilla-Garcia & Paloma Sanz & Francisco Vazquez, 2005. "The BDS test and delay time," Applied Economics Letters, Taylor & Francis Journals, vol. 12(2), pages 109-113.
  2. M. Matilla-GarcÍa & R. Queralt & P. Sanz & F. VÁzquez, 2004. "A Generalized BDS Statistic," Computational Economics, Society for Computational Economics, vol. 24(3), pages 277-300, September.

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:taf:applec:v:36:y:2004:i:11:p:1219-1223. 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: (Michael McNulty).

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.