Recently it has been observed that variable bit rate (VBR) video traffic di
splays long-range dependence, which suggests that traditional Markovian mod
els may not be suitable for performance evaluation of telecommunications ne
tworks carrying this traffic. Inspection of the bit rate profile of VBR vid
eo traffic suggests that shifting level processes might be more appropriate
for this task. In this paper we show that a particular class of these proc
esses matches the autocorrelation and bit rate distribution of real VBR vid
eo traffic, including exhibiting long-range dependent behaviour.