Aggregation of network traffic and anisotropic scaling of random fields
DOI10.1090/tpms/1188arXiv2112.01893MaRDI QIDQ6040487
Donatas Surgailis, Remigijus Leipus, Vytautė Pilipauskaitė
Publication date: 17 May 2023
Published in: Theory of Probability and Mathematical Statistics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2112.01893
self-similaritylarge deviationsheavy tailsregenerative processlong-range dependenceM/G/\(\infty\) queuerenewal processfractional Brownian sheetshot-noise processscaling transitionintermediate limiton/off processstable Lévy sheettelecom processanisotropic scaling of random fieldsjoint spatial-temporal limitsM/G/1/\(\infty\) queueM/G/1/0 queuesuperimposed network traffic
Time series, auto-correlation, regression, etc. in statistics (GARCH) (62M10) Gaussian processes (60G15) Fractional processes, including fractional Brownian motion (60G22) Stochastic integrals (60H05) Self-similar stochastic processes (60G18) Stable stochastic processes (60G52)
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