FBM and FARIMA

The FBM (Fraction Brownian Motion) and FARIMA (Fractional ARIMA - Auto Regressive Integrated Moving Average) process can be used to model traffic that exhibits long-range dependence. These distributions may be used in multimedia source models to represent video and voice traffic. In the FBM and FARIMA distributions some parameters have to be specified:

• maximum level the total number of samples generated is $2^{\mbox {(max level)}}$.
• time scale time interval between two consecutive samples.
• number of samples total number of samples generated.