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Using Multinomial Mixture Models to Cluster Internet Traffic

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  • Murray Jorgensen

Abstract

The paper considers the clustering of two large sets of Internet traffic data consisting of information measured from headers of transmission control protocol packets collected on a busy arc of a university network connecting with the Internet. Packets are grouped into 'flows' thought to correspond to particular movements of information between one computer and another. The clustering is based on representing the flows as each sampled from one of a finite number of multinomial distributions and seeks to identify clusters of flows containing similar packet‐length distributions. The clustering uses the EM algorithm, and the data‐analytic and computational details are given.

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  • Murray Jorgensen, 2004. "Using Multinomial Mixture Models to Cluster Internet Traffic," Australian & New Zealand Journal of Statistics, Australian Statistical Publishing Association Inc., vol. 46(2), pages 205-218, June.
    • Handle: RePEc:bla:anzsta:v:46:y:2004:i:2:p:205-218
    DOI: 10.1111/j.1467-842X.2004.00325.x
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    Cited by:

    1. Withers, Christopher S. & Nadarajah, Saralees, 2014. "Cumulants of multinomial and negative multinomial distributions," Statistics & Probability Letters, Elsevier, vol. 87(C), pages 18-26.
    2. Withers, Christopher S. & Nadarajah, Saralees, 2013. "Delta and jackknife estimators with low bias for functions of binomial and multinomial parameters," Journal of Multivariate Analysis, Elsevier, vol. 118(C), pages 138-147.

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