Application of Extreme Value Theory to the Analysis of Wireless Network Traffic

It is important to study the traffic in the wireless network control and management. This paper proposes the use of the EVT (extreme value theory) for the analysis of wireless network traffic. The role of EVT is to allow the development of procedures that are scientifically and statistically rational to estimate the extreme behavior of random processes. We have performed extensive simulation experiments by taking traffic data that is greater than a given threshold value. The results of our experiments and analysis show the wireless network traffic model obtained through the EVT fits well with the empirical distribution of traffic. Meanwhile, we can obtain EVT model has the lowest "average deviation" compared with other popular distribution model such as exponential, lognormal, gamma, Weibull. Thus illustrates EVT is more suitable than other distributions to model the traffic and it has a good application foreground in the analysis of wireless network traffic.