Limits of on/off hierarchical product models for data transmission
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Publication:1429108
DOI10.1214/aoap/1069786502zbMath1042.90004OpenAlexW2166480152MaRDI QIDQ1429108
Gennady Samorodnitsky, Sidney I. Resnick
Publication date: 30 March 2004
Published in: The Annals of Applied Probability (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1214/aoap/1069786502
heavy tailslong-range dependencefluid queueinfinite divisibilityM/G/\(\infty\) queuerenewal theoremsproduct models
Communication networks in operations research (90B18) Queueing theory (aspects of probability theory) (60K25) Renewal theory (60K05)
Related Items (2)
On the choice of an auxiliary function in the \(M/G/\infty\) estimation ⋮ On the superposition of heterogeneous traffic at large time scales
Uses Software
Cites Work
- Self-similarity in high-speed packet traffic: analysis and modeling of Ethernet traffic measurements
- One-sided local large deviation and renewal theorems in the case of infinite mean
- Patterns of buffer overflow in a class of queues with long memory in the input stream
- Random walks and Riesz kernels
- Heavy Tails and Long Range Dependence in On/Off Processes and Associated Fluid Models
- Subexponentiality and infinite divisibility
- Multifractal products of stochastic processes: construction and some basic properties
- Strong Renewal Theorems with Infinite Mean
- A renewal theorem for distributions on 𝑅¹ without expectation
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