In search of better statistics for traffic characterization

We model and simulate stochastic traffic based on two established statistics: marginal distribution and autocorrelation function. Although apparently equivalent to each other in these aspects, the three different synthetic models produce notably different behavior in a G/D/1/<FONT FACE="Symbol">¥</FONT> queue. As an alternative modeling strategy, we measure the log-moment generating function of the synthetic models. Our results indicate that recent works related to Effective Bandwidth functions may provide the discriminatory statistic required to explain the noted inconsistency