Convergence to fractional Brownian motion and to the Telecom process: the integral representation approach
2008 (English)In: In and Out of Equilibrium 2 / [ed] Sidoravicius V, Vares ME, Basel: Birkhäuser Verlag, 2008, 383-427 p.Conference paper (Refereed)
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
computer traffic, self-similar processes, fractional Brownian motion, stable processes, Poisson point processes, heavy tails, limit theorems
Probability Theory and Statistics
Research subject Mathematical Statistics
IdentifiersURN: urn:nbn:se:uu:diva-107805DOI: 10.1007/978-3-7643-8786-0ISI: 000259173100019ISBN: 978-3-7643-8785-3OAI: oai:DiVA.org:uu-107805DiVA: 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