The DOI matches its Crossref record; 25 of the 25 references it cites were found in a registry or an index.
Is Network Traffic Appriximated by Stable Lévy Motion or Fractional Brownian Motion?
Open accessAbstract
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.
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Cites
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Billingsley, P. (1999) · Wiley Series in Probability and Statistics · doi:10.1002/9780470316962 · Cited by 13,910
On the self-similar nature of Ethernet traffic (extended version)
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Stable Non-Gaussian Random Processes: Stochastic Models with Infinite Variance: Stochastic Modeling
Samorodnitsky, G., & Taqqu, M. S. (2017) · Routledge eBooks · doi:10.1201/9780203738818 · Cited by 3,802
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Self-citationSelf-similarity in World Wide Web traffic: evidence and possible causes
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Cited by
Jessen, H., & Mikosch, T. (2006) · Publications de l'Institut Mathematique · doi:10.2298/pim0694171j · Cited by 236
Self-citationElliot, M. G., & Mooers, A. Ø. (2014) · BMC Evolutionary Biology · doi:10.1186/s12862-014-0226-8 · Cited by 72
Metadata
- Authors
- Mikosch, T., Resnick, S., Rootzén, H., & Stegeman, A.
- Venue
- The Annals of Applied Probability
- Publisher
- Institute of Mathematical Statistics
- Published
- 2002-02-01
- Volume
- 12
- Issue
- 1
- Pages
- 23-68
- ISSN
- 1050-5164 (ISSN-L)
- OpenAlex
- W1513487224
- Cited by
- 270
- References
- 25
- FWCI
- 34.30
- Type
- journal article
- Language
- en
- Open access
- green
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