Change search
ReferencesLink to record
Permanent link

Direct link
Convergence to fractional Brownian motion and to the Telecom process: the integral representation approach
Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Mathematics, Mathematical Statistics.
Boston University.
2008 (English)In: In and Out of Equilibrium 2 / [ed] Sidoravicius V, Vares ME, Basel: Birkhäuser Verlag, 2008, 383-427 p.Conference paper (Refereed)
Abstract [en]

It has become common practice to use heavy-tailed distributions in order to describe the variations in time and space of network traffic workloads. The asymptotic behavior of these workloads is complex; different limit processes emerge depending on the specifies of the work arrival structure and the nature of the asymptotic scaling. We focus on two variants of the infinite source Poisson model and provide a coherent and unified presentation of the scaling theory by using integral representations. This allows us to understand physically why the various limit processes arise.

Place, publisher, year, edition, pages
Basel: Birkhäuser Verlag, 2008. 383-427 p.
, Progress in Probability, ISSN 1050-6977 ; 60
Keyword [en]
computer traffic, self-similar processes, fractional Brownian motion, stable processes, Poisson point processes, heavy tails, limit theorems
National Category
Probability Theory and Statistics
Research subject
Mathematical Statistics
URN: urn:nbn:se:uu:diva-107805DOI: 10.1007/978-3-7643-8786-0ISI: 000259173100019ISBN: 978-3-7643-8785-3OAI: diva2:233145
Joint Meeting of the 10th Brazilian School of Probability/69th Annual Meeting of the Institute-of-Mathematical-Statistics IMPA, Rio de Janeiro, BRAZIL, JUL 30, 2006-AUG 04, 2008
Available from: 2012-01-16 Created: 2009-08-28 Last updated: 2012-07-26Bibliographically approved

Open Access in DiVA

fulltext(826 kB)89 downloads
File information
File name FULLTEXT02.pdfFile size 826 kBChecksum SHA-512
Type fulltextMimetype application/pdf

Other links

Publisher's full text

Search in DiVA

By author/editor
Kaj, Ingemar
By organisation
Mathematical Statistics
Probability Theory and Statistics

Search outside of DiVA

GoogleGoogle Scholar
Total: 89 downloads
The number of downloads is the sum of all downloads of full texts. It may include eg previous versions that are now no longer available

Altmetric score

Total: 203 hits
ReferencesLink to record
Permanent link

Direct link