GARCH-M (generalized autoregressive conditional heteroskedasticity in the mean) model is used to analyse the volatility clustering phenomenon in mobile communication network traffic.Normal distribution, t distribution and generalized Pareto distribution assumptions are adopted respectively to simulate the random component in the model. The demonstration of the quantile of network traffic series indicates that common GARCH-M model can partially deal with the "fat tail"problem. However, the "fat tail" characteristic of the random component directly affects the accuracy of the calculation. Even t distribution is based on the assumption for all the data. On the other hand, extreme value theory, which only concentrates on the tail distribution, can provide more accurate result for high quantiles. The best result is obtained based on the generalized Pareto distribution assumption for the random component in the GARCH-M model.