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 traffic, traffic modeling
and simulation, stationarity tests of traffic, traffic measurement and
the anomaly detection of traffic in communications networks.
Proving that mono-fractal LRD time series is ergodic, the book exhibits
that LRD traffic is stationary. The author shows that the stationarity
of multi-fractal traffic relies on observation time scales, and proposes
multi-fractional generalized Cauchy processes and modified
multi-fractional Gaussian noise. The book also establishes a set of
guidelines for determining the record length of traffic in measurement.
Moreover, it presents an approach of traffic simulation, as well as the
anomaly detection of traffic under distributed-denial-of service
attacks.
Scholars and graduates studying network traffic in computer science will
find the book beneficial.
