Bivariate statistical analysis of TCP-flow sizes and durations

Natalia M. Markovich, Jorma Kilpi

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    6 Citations (Scopus)

    Abstract

    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.
    Original languageEnglish
    Pages (from-to)199-216
    Number of pages18
    JournalAnnals of Operations Research
    Volume170
    Issue number1
    DOIs
    Publication statusPublished - 2009
    MoE publication typeA1 Journal article-refereed

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    Keywords

    • TCP-flow
    • Extreme value distribution
    • Pickands function

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