In the mid 1990s, it was shown that the statistics of aggregated time series from Internet
traffic departed from those of traditional short range-dependent models, and were instead …

The highlights in this paper are in two aspects. First, we introduce a type of novel fractional
noise termed generalized fractional Gaussian noise (gfGn). Its autocorrelation function …

The fluctuations of Internet traffic possess an intricate structure which cannot be simply
explained by long-range dependence and self-similarity. In this work, we explore the use of …

The Hurst parameter H characterizes the degree of long-range dependence (and asymptotic
self-similarity) in stationary time series. Many methods have been developed for the …

In this article we introduce a graphical method for the test of the equality of two regression
curves. Our method is based on SiZer (SIgnificant ZERo crossing of the differences) …

In the last years of the past century, complex correlation structures were empirically
observed, both in aggregated and individual traffic traces, including long-range …

Simulation is a widely used mechanism for validating the theoretical models of networking
and communication systems. Although the claims made based on simulations are …

The detection of anomalies in network traffic, such as low volume attacks and abnormalities,
has become a pressing problem in today's large volume of Internet traffic. To this end …

This paper provides a deep analysis of long-range dependence in a continually evolving
Internet traffic mix by employing a number of recently developed statistical methods. Our …

This book provides a comprehensive theory of mono-and multi-fractal traffic, including the
basics of long-range dependent time series and 1/f noise, ergodicity and predictability of …