Advanced Search

On-line Bayesian estimation of AR signals in symmetric alpha-stable noise

Contents:

Author Info

Abstract

In this paper we propose an on-line Bayesian filtering and smoothing method for time series models with heavy-tailed alpha-stable noise, with a particular focus on TVAR models. alpha-stable processes have been shown in the past to be a good model for many naturally occurring noise sources. We first point out how a filter that fails to take into account the heavy-tailed character of the noise performs poorly and then examine how an alpha-stable based particle filter can be devised to overcome this problem. The filtering methodology is based on a scale mixtures of normals (SMiN) representation of the alpha-stable distribution, which allows efficient Rao-Blackwellised implementation within a conditionally Gaussian framework, and requires no direct evaluation of the alpha-stable density, which is in general unavailable in closed form. The methodology is shown to work well, outperforming the traditional Gaussian methods both on simulated data and on real audio data sets.

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.ds.unifi.it/ricerca/pubblicazioni/working_papers/2004/wp2004_05.pdf
Download Restriction: no

Bibliographic Info

Paper provided by Universita' degli Studi di Firenze, Dipartimento di Statistica "G. Parenti" in its series Econometrics Working Papers Archive with number wp2004_05.

Download reference. The following formats are available: HTML (with abstract), plain text (with abstract), BibTeX, RIS (EndNote, RefMan, ProCite), ReDIF
Length: 32 pages
Date of creation: 01 May 2004
Date of revision:
Handle: RePEc:fir:econom:wp2004_05

Contact details of provider:
Postal: Viale G.B. Morgagni, 59 - I-50134 Firenze - Italy
Phone: +39 055 4237211
Fax: +39 055 4223560
Web page: http://www.ds.unifi.it/
More information through EDIRC

For corrections or technical questions regarding this item, or to correct its listing, contact: (Margherita Velucchi).

Related research

Keywords: Particle filters; Kalman filter; Alpha-stable distributions; Scale mixture of normals.;

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.:
  1. Godsill, Simon J. & Doucet, Arnaud & West, Mike, 2004. "Monte Carlo Smoothing for Nonlinear Time Series," Journal of the American Statistical Association, American Statistical Association, vol. 99, pages 156-168, January.
  2. Nicolas Chopin, 2002. "A sequential particle filter method for static models," Biometrika, Oxford University Press for Biometrika Trust, vol. 89(3), pages 539-552, August.
  3. Marco J. Lombardi, 2004. "Bayesian inference for alpha-stable distributions: a random walk MCMC approach," Econometrics Working Papers Archive wp2004_11, Universita' degli Studi di Firenze, Dipartimento di Statistica "G. Parenti".
  4. Tsionas, Efthymios G., 1998. "Monte Carlo inference in econometric models with symmetric stable disturbances," Journal of Econometrics, Elsevier, vol. 88(2), pages 365-401, November.
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.
Cited by:
  1. Marco Lombardi & Silvia Sgherri, 2007. "(Un)naturally Low? Sequential Monte Carlo Tracking of the US Natural Interest Rate," DNB Working Papers 142, Netherlands Central Bank, Research Department.
  2. Marco J. Lombardi, 2004. "Bayesian inference for alpha-stable distributions: a random walk MCMC approach," Econometrics Working Papers Archive wp2004_11, Universita' degli Studi di Firenze, Dipartimento di Statistica "G. Parenti".

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:fir:econom:wp2004_05

For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Margherita Velucchi).

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.