Bivariate statistical analysis of TCP-flow sizes and durations

• DOI: 10.1007/s10479-009-0531-6
• Publication Date: 2009-03-06T14:26:34Z
• Authors: Natalia M. Markovich; Jorma Kilpi
• Keywords: TCP-flow; Pickands function; Extreme value distribution; 0211 other engineering and technologies; 02 engineering and technology

We approximate the distribution of the TCP-flow rate by deriving it from the joint bivariate distribution of the flow sizes and flow durations of a given access network. The latter distribution is represented by a bivariate extreme value distribution using the Pickand’s dependence A-function. We estimate the A-function to measure the dependencies of random pairs: TCP-flow size and duration, the rate of TCP-flow and size, as well as the rate and duration. We provide a method to test that the achieved estimate of A-function is good and perform the analysis with one concrete data example.