Statistical scaling analysis of TCP/IP data using cascades

The scaling properties of Internet data are analysed in detail through the unifying viewpoint of infinitely divisible cascades (IDC). From exceptionally precise TCP/IP traffic traces are extracted time series including arrival rate, durations, and interarrival times of TCP connections. We show that IDC offer a pertinent description of these series. Relations between them are investigated, yielding insights on the sources of the scaling and possible modelling approaches.