Bell Labs Internet Traffic Research

Weibull Quantile Plot

This is a trellis display with one page and two panels; it displays the quantiles of log inter-arrival times against log Weibull quantiles. The vertical lines show the 1% and 5% quantiles. The oblique line is drawn through the two quartile points. If the marginal distribution of the inter-arrival times is well approximated by a Weibull distribution, the the pattern of points on the plot is approximately linear.

Here is a collection of Weibull quantile plots (compressed postscript, pdf) of packet inter-arrival times used in the paper "On the Nonstationarity of Internet Traffic". Due to large file size of the original plots, only a subset of 25 intervals out of 500 intervals is available for download here.