Reduced long-range dependence combining Poisson bursts with on-off sources

DOI10.1214/09-BJPS105zbMath1298.60093arXiv1106.0617OpenAlexW3099872813WikidataQ59200186 ScholiaQ59200186MaRDI QIDQ467899

David A. Rolls

Publication date: 5 November 2014

Published in: Brazilian Journal of Probability and Statistics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1106.0617

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Fractional processes, including fractional Brownian motion (60G22) Queueing theory (aspects of probability theory) (60K25)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Modeling teletraffic arrivals by a Poisson cluster process
• Heavy traffic analysis of a storage model with long range dependent On/Off sources
• Convergence of scaled renewal processes and a packet arrival model
• Is network traffic approximated by stable Lévy motion or fractional Brownian motion?
• Renewal reward processes with heavy-tailed inter-renewal times and heavy-tailed rewards
• Heavy Tails and Long Range Dependence in On/Off Processes and Associated Fluid Models
• Stochastic-Process Limits
• The Self‐Similar and Multifractal Nature of a Network Traffic Model
• A wavelet-based joint estimator of the parameters of long-range dependence
• Asymptotic independence and a network traffic model
• Long-Run Linearity, Locally Gaussian Process, H-Spectra and Infinite Variances
• A Long-Range Dependent Workload Model for Packet Data Traffic