Extended Fractional Gaussian Noise and Simple ARFIMA Approximations
Extended fractional Gaussian noise (eFGN) is the limiting structure of long memory time series aggregates. We propose a flexible class of low-order ARFIMA (0, d, q) models that closely approximates eFGN. Such ARFIMA approximation and a metric to measure precision can be easily obtained from the eigenvector and eigenvalue of an aggregation matrix of dimension q+1, constructed by utilizing the invariant property. A comparison to Man and Tiao's (2006) ARFIMA (0, d, dI) approximation that uses fixed MA order is also made. In practice, our result suggests that when aggregated long enough, many long memory time series aggregates will tend to follow a low-order ARFIMA model with pretty stable MA structure determined by d. This makes simple ARFIMA models appealing for modeling long memory time series aggregates.
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.
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.
Volume (Year): 2 (2010)
Issue (Month): 1 (September)
|Contact details of provider:|| Web page: http://www.degruyter.com|
|Order Information:||Web: http://www.degruyter.com/view/j/jtse|
When requesting a correction, please mention this item's handle: RePEc:bpj:jtsmet:v:2:y:2010:i:1:n:7. 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: (Peter Golla)
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.