The Poisson aggregation process

DOI10.1016/j.chaos.2015.11.019zbMath1355.60030OpenAlexW2194102162MaRDI QIDQ509201

Iddo I. Eliazar

Publication date: 9 February 2017

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.chaos.2015.11.019

zbMATH Keywords

central limit theoremPoisson processesshort-range and long-range dependence\(\mathrm{M}/\mathrm{G}/\infty\) processextreme limit theorem

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Queueing theory (aspects of probability theory) (60K25)

Uses Software

• longmemo

Cites Work

• Ergodic properties of anomalous diffusion processes
• Anomalous is ubiquitous
• Correlation cascades, ergodic properties and long memory of infinitely divisible processes
• Fractional motions
• Anomalous diffusion. From basics to applications. Proceedings of the 11th Max Born symposium, held at Lądek Zdrój, Poland, May 20--27, 1998
• Tail probabilities for \(M/G/\infty\) input processes. I: Preliminary asymptotics
• Small and large time scale analysis of a network traffic model
• Is network traffic approximated by stable Lévy motion or fractional Brownian motion?
• Self-similar communication models and very heavy tails.
• Lévy flights and related topics in physics. Proceedings of the international workshop, held at Nice, France, 27-30 June, 1994
• Critical phenomena in natural sciences. Chaos, fractals, selforganization and disorder: Concepts and tools.
• The \(M/G/\infty\) system revisited: finiteness, summability, long range dependence, and reverse engineering
• On a class of self-similar processes
• Infinite variance self-similar processes subordinate to a poisson measure
• A cluster process representation of a self-exciting process
• The Physics of the Mt/G/∞ Queue
• Fractal renewal processes
• Empirical Testing Of The Infinite Source Poisson Data Traffic Model
• Statistics of Extremes
• On the nonlinear modeling of shot noise
• Fractional Brownian Motions, Fractional Noises and Applications
• Spectra of some self-exciting and mutually exciting point processes
• From diffusion to anomalous diffusion: A century after Einstein’s Brownian motion
• A Combinatorial Method in the Theory of Queues
• Statistical Analysis of Counter Data
• Probability fluctuations of discharges in a Geiger-Müller counter produced by cosmic radiation
• Correlation theory of processes with random stationary 𝑛th increments
• Handbook of stochastic methods for physics, chemistry and the natural sciences.
• The random walk's guide to anomalous diffusion: A fractional dynamics approach
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