Numerical recipes in C (2nd ed.): the art of scientific computing
Numerical recipes in C (2nd ed.): the art of scientific computing
On the self-similar nature of Ethernet traffic (extended version)
IEEE/ACM Transactions on Networking (TON)
On the effect of measuring a self-similar process
SIAM Journal on Applied Mathematics
Wide area traffic: the failure of Poisson modeling
IEEE/ACM Transactions on Networking (TON)
The changing nature of network traffic: scaling phenomena
ACM SIGCOMM Computer Communication Review
Self-similar processes in communications networks
IEEE Transactions on Information Theory
A practical method for weak stationarity test of network traffic with long-range dependence
MUSP'08 Proceedings of the 8th WSEAS International Conference on Multimedia systems and signal processing
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Let D(n) and H(n) be the fractal dimension and the Hurst parameter of traffic in the nth interval, respectively. Thus, this paper gives the experimental variance analysis of D(n) and H(n) of network traffic based on the generalized Cauchy (GC) process on an interval-by-interval basis. We experimentally infer that traffic has the phenomenon Var[D(n)] Var[H(n)]. This suggests a new way to describe the multifractal phenomenon of traffic. That is, traffic has local high-variability and global robustness. Verifications of that inequality are demonstrated with real traffic.