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Maximum likelihood estimation of the flow size distribution tail index from sampled packet data Export

In SIGMETRICS '09: Proceedings of the eleventh international joint conference on Measurement and modeling of computer systems (2009), pp. 263-274.

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In the context of network traffic analysis, we address the problem of estimating the tail index of flow (or more generally of any group) size distribution from the observation of a sampled population of packets (individuals). We give an exhaustive bibliography of the existing methods and show the relations between them. The main contribution of this work is then to propose a new method to estimate the tail index from sampled data, based on the resolution of the maximum likelihood problem. To assess the performance of our method, we present a full performance evaluation based on numerical simulations, and also on a real traffic trace corresponding to internet traffic recently acquired.


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