Use this url to cite publication: https://hdl.handle.net/20.500.14911/142625
On convergence of superposition of on/of processes
Publication Type (CRIS)
Konferencijų tezės nerecenzuojamame leidinyje / Conference theses in non-peer-reviewed publication (T2)
Publication Type (eLABa)
Konferencijos pranešimo tezės / Conference presentation abstract (T2)
Author(s)
Title [en]
On convergence of superposition of on/of processes
Rimas Banys
Is part of
9th international Vilnius conference on probability theory and mathematical statistics: abstracts of communications, June 25-30, 2006 / Matematikos ir informatikos institutas
Published In
| Year |
|---|
2006 |
Publisher
Vilnius : TEV, 2006
Extent
p. 98
Science / Art Area
Gamtos mokslai / Natural Sciences (N)
Field of Science / Art
Matematika / Mathematics (N001)
Abstract (en)
Cumulative broadband network traffic is known to be well approximated by stable Levy motion or by fractional Brownian motion depending on whether connection rates are modest or large relative to heavy tailed connection length distribution tails. These results were framed as limit theorems for a sequence of cumulative input processes. We discuss analogous limit theorems for superposition of ON/OFF processes with mutually dependent and heavy tailed consecutive ON and OFF durations.
Resource Type (COAR)
TextConference outputConference proceedingsConference paper
Language
Anglų / English (en)
Country
Lietuva / Lithuania (LT)
Owning collection
ISBN (of the container)
9955680342
eLABa ID
3764580