Sample path moderate deviations for a family of long-range dependent traffic and associated queue length processes
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Publication:5460726
DOI10.1080/17442500512331341077zbMath1069.60078OpenAlexW2008832671MaRDI QIDQ5460726
Publication date: 18 July 2005
Published in: Stochastics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/17442500512331341077
Queueing theory (aspects of probability theory) (60K25) Inventory, storage, reservoirs (90B05) Large deviations (60F10) Performance evaluation, queueing, and scheduling in the context of computer systems (68M20)
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Sample path moderate deviations for the cumulative fluid produced by an increasing number of exponential on-off sources ⋮ Large deviation properties of constant rate data streams sharing a buffer with long-range dependent traffic in critical loading ⋮ Sample path large deviations for a family of long-range dependent traffic and associated queue length processes
Uses Software
Cites Work
- Moderate deviations for queues in critical loading
- Uniform large and moderate deviations for functional empirical processes
- Convergence of scaled renewal processes and a packet arrival model
- Rare events simulation for heavy-tailed distributions
- Path space large deviations of a large buffer with Gaussian input traffic
- Is network traffic approximated by stable Lévy motion or fractional Brownian motion?
- Moderate deviations of dependent random variables related to CLT
- Large Deviations for Trajectories of Multi-Dimensional Random Walks
- Large deviations, moderate deviations, and queues with long-range dependent input
- Variational Analysis
- Large deviations for multi-dimensional reflected fractional Brownian motion
- Moderate deviation principles for trajectories of sums of independent Banach space valued random variables
- Large deviations and overflow probabilities for the general single-server queue, with applications
- Fractional Brownian Motions, Fractional Noises and Applications
