Annals of Operations Research

, Volume 170, Issue 1, pp 199-216

First online:

Bivariate statistical analysis of TCP-flow sizes and durations

  • Natalia M. MarkovichAffiliated withInstitute of Control Sciences, Russian Academy of Sciences Email author 
  • , Jorma KilpiAffiliated withVTT

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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.


TCP-flow Extreme value distribution Pickands function