Small and large scale behavior of moments of Poisson cluster processes

DOI10.1051/PS/2017018zbMath1393.60051OpenAlexW2763128340MaRDI QIDQ4578058

Nelson Antunes, Darryl Veitch, Vladas Pipiras, Patrice Abry

Publication date: 7 August 2018

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

Full work available at URL: https://doi.org/10.1051/ps/2017018

zbMATH Keywords

momentscumulantsscalingheavy tailsPoisson cluster processinternet traffic modelingfast growth regimeslow growth regime

Mathematics Subject Classification ID

Fractional processes, including fractional Brownian motion (60G22) Self-similar stochastic processes (60G18) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55) Applications of queueing theory (congestion, allocation, storage, traffic, etc.) (60K30)

Cites Work

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