eng
Cai, Shi-Min
Fu, Zhong-Qian
Zhou, Tao
Gu, Jun
Zhou, Pei-Ling
Scaling and memory in recurrence intervals of Internet traffic
http://doc.rero.ch/record/13218/files/zhou_smr.pdf
By studying the statistics of recurrence intervals, τ, between volatilities of Internet traffic rate changes exceeding a certain threshold q, we find that the probability distribution functions, Pq(τ), for both byte and packet flows, show scaling property as $P_{q}(\tau)=\frac{1}{\overline{\tau}}f(\frac{\tau}{\overline{\tau}})$. The scaling functions for both byte and packet flows obey the same stretching exponential form, <i>f</i>(<i>x</i>)=<i>A</i>exp (-<i>Bx</i><sup>β</sup>), with β≈0.45. In addition, we detect a strong memory effect that a short (or long) recurrence interval tends to be followed by another short (or long) one. The detrended fluctuation analysis further demonstrates the presence of long-term correlation in recurrence intervals.
2009-12-15T11:06:19Z
http://doc.rero.ch/record/13218