Anisotropic scaling of the random grain model with application to network traffic

DOI10.1017/jpr.2016.45zbMath1351.60064arXiv1510.07423OpenAlexW2230506289MaRDI QIDQ2836236

Donatas Surgailis, Vytautė Pilipauskaitė

Publication date: 9 December 2016

Published in: Journal of Applied Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1510.07423

zbMATH Keywords

long-range dependencefractional Brownian sheetanisotropic scalingworkload processLévy sheetrandom grain model

Mathematics Subject Classification ID

Processes with independent increments; Lévy processes (60G51) Random fields (60G60) Fractional processes, including fractional Brownian motion (60G22) Queueing theory (aspects of probability theory) (60K25)

Related Items (12)

Scaling transition for nonlinear random fields with long-range dependence ⋮ Anisotropic scaling limits of long-range dependent linear random fields on \(\mathbb{Z}^3\) ⋮ Aggregation of network traffic and anisotropic scaling of random fields ⋮ Local scaling limits of Lévy driven fractional random fields ⋮ Scaling transition and edge effects for negatively dependent linear random fields on \(\mathbb{Z}^2\) ⋮ Joint temporal and contemporaneous aggregation of random-coefficient AR(1) processes with infinite variance ⋮ Scaling limits of linear random fields on \(\mathbb{Z}^2\) with general dependence axis ⋮ Generalized operator-scaling random ball model ⋮ Sample covariances of random-coefficient AR(1) panel model ⋮ Scaling limits for a random boxes model ⋮ Anisotropic scaling limits of long-range dependent random fields ⋮ Long range dependence for stable random processes

This page was built for publication: Anisotropic scaling of the random grain model with application to network traffic