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**Harvard**

Mikosch, T., Resnick, S., Rootzén, H. och Stegeman, A. (2002) *Is network traffic approximated by stable Lévy motion or fractional Brownian motion?*.

** BibTeX **

@article{

Mikosch2002,

author={Mikosch, Thomas and Resnick, Sidney and Rootzén, Holger and Stegeman, Alwin},

title={Is network traffic approximated by stable Lévy motion or fractional Brownian motion?},

journal={Annals of Applied Probabability},

volume={12},

pages={23-68},

abstract={Cumulative broadband network traffic is often thought to be well
modeled by fractional Brownian motion (FBM). However, some traffic
measurements do not show an agreement with the Gaussian marginal
distribution assumption. We show that if connection rates are modest
relative to heavy tailed connection length distribution tails, then stable Lévy
motion is a sensible approximation to cumulative traffic over a time period.
If connection rates are large relative to heavy tailed connection length
distribution tails, then FBM is the appropriate approximation. The results are
framed as limit theorems for a sequence of cumulative input processes whose
connection rates are varying in such a way as to remove or induce long range
dependence.},

year={2002},

keywords={Heavy tails, regular variation, Pareto tails, self-similarity, scaling, infinite variance, stable Lévy motion, fractional Brownian motion, Gaussian approximation, ON/OFF process, workload process, cumulative input process, input rate, large deviations},

}

** RefWorks **

RT Journal Article

SR Electronic

ID 92768

A1 Mikosch, Thomas

A1 Resnick, Sidney

A1 Rootzén, Holger

A1 Stegeman, Alwin

T1 Is network traffic approximated by stable Lévy motion or fractional Brownian motion?

YR 2002

JF Annals of Applied Probabability

VO 12

SP 23

OP 68

AB Cumulative broadband network traffic is often thought to be well
modeled by fractional Brownian motion (FBM). However, some traffic
measurements do not show an agreement with the Gaussian marginal
distribution assumption. We show that if connection rates are modest
relative to heavy tailed connection length distribution tails, then stable Lévy
motion is a sensible approximation to cumulative traffic over a time period.
If connection rates are large relative to heavy tailed connection length
distribution tails, then FBM is the appropriate approximation. The results are
framed as limit theorems for a sequence of cumulative input processes whose
connection rates are varying in such a way as to remove or induce long range
dependence.

LA eng

LK http://www.math.chalmers.se/Math/Research/Preprints/1999/32.pdf

OL 30