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Modeling of flows with the power-law spectral densities and power-law distributions of flow's intensities

Bronislovas Kaulakys·Miglius Alaburda·Vygintas Gontis·Tadas Meskauskas·Julius Ruseckas
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Abstract

We present analytical and numerical results of modeling of flows represented as the correlated non-Poissonian point process and as the Poissonian sequence of pulses of the different size. Both models may generate signals with the power-law distributions of the intensity of the flow and the power-law spectral density. Furthermore, different distributions of the interevent time of the point process and different statistics of the size of pulses may result in $1/f^β$ noise (one-over-f noise, 1-f noise) with $0.5\lesssimβ\lesssim2$. Combination of the models is applied for modeling of the Internet traffic.

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Bronislovas Kaulakys, Miglius Alaburda, Vygintas Gontis, Tadas Meskauskas, Julius Ruseckas. 2005-12-08. Modeling of flows with the power-law spectral densities and power-law distributions of flow's intensities. https://arxiv.org/abs/physics/0512068

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