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Bivariate statistical analysis of TCP-flow sizes and durations

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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.

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Correspondence to Natalia M. Markovich.

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Markovich, N.M., Kilpi, J. Bivariate statistical analysis of TCP-flow sizes and durations. Ann Oper Res 170, 199–216 (2009). https://doi.org/10.1007/s10479-009-0531-6

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  • DOI: https://doi.org/10.1007/s10479-009-0531-6

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