How self-similar processes persistence determines the queue length distribution moments

In this paper we compare the queue performances of three different traces with gaussian marginals generated using the discrete-time Fractional Gaussian Noise algorithm [1]. We have introduced some additional features in one out of the three traces generation process to have less dependence on very large time scale (as it is the case in video traffic). We highlight the issues at stake when we look at the way the correlation structure influences the moments of the queue length.