Investigating the statistical properties of the captured datacloser, we provide the statistics for the captured traffic of all
three measurement runs at the second, minute and hour timescales in Table I. We initially note that the September measurement is about half the duration of the other two measurement periods, resulting in a lower amount of bandwidth samples. We furthermore note that in each measurement period, the minimum bandwidth observed per second is zero. Comparing the average average bandwidth amongst the three measurement series, we note that the November average bandwidth isapproximately 33 time the average bandwidth observed during the December period. We furthermore note that the average bandwidth slightly changes with the aggregation level, which is explained by incorporating only complete aggregates into the calculations, which typically drops the last aggregate of each measurement. The peak-to-mean ratios observed are ex- tremely high for the September and December measurements, whereas the November measurement exhibits a lower level for the second timescale. With increasing timescales, however, we note a significant drop in the peak-to-mean traffic ratios for the September and December measurements, whereas the November decreases only slightly. These behaviors indicate that the short time traffic is typically highly variable, but only in certain periods for September and December, whereas November exhibits overall high traffic variability. As more unbiased estimator for the traffic variability, we observe the coefficient of variation in Table I. We note a similar trend between measurements and timescales, confirming the prevous observations for the peak-to-mean ratio. Lastly, we evaluate the overall self-similarity of the utilized server network bandwidth in form of the estimated Hurst parameters using the estimation approaches outlined in Section II. We observe that all three measurements exhibit an overall level of selfsimilarity, which is the most pronounced for the November measurement. We additionally note a trend for the increase in the Hurst parameter as the aggregation level is increased to minutes and a subsequent decrease as the aggregation level is
further increased to hours. In the remainder of this paper, we focus on the November and December measurements, as the statistics for the September measurement resemble those of the December measurement.