### Abstract

We search for methods or tools to detect whether the 1-dimensional
marginal distribution of traffic
increments of aggregate TCP-traffic satisfy the hypothesis of approximate
normality. Gaussian approximation requires a high level of aggregation in both
"vertical" (source aggregation) and "horizontal" (time scale) directions. We
discuss these different concepts of aggregation first separately, with an
example from real data traffic, and show how to rule out cases where the level
of aggregation will not be sufficient. Gaussian approximation is then
quantified with the square of the linear correlation coefficient in
normal-quantile plots. We propose an elementary method based on this
correlation test, by looking at the behavior of the test statistic for
different sample sizes, and show positive and negative examples from the
example data. We use this method to look for the first time scale, where the
Gaussian approximation is plausible with the example data, and then we look
how much more vertical aggregation would be needed for smaller time scales in
order to obtain a reasonable approximation by normal
distribution.

Original language | English |
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Title of host publication | Proceedings of the 2nd Internet Measurement Workshop IMW 2002 |

Publisher | Association for Computing Machinery ACM |

Pages | 49-61 |

ISBN (Print) | 1-58113-603-X |

DOIs | |

Publication status | Published - 2002 |

MoE publication type | A4 Article in a conference publication |

Event | 2nd ACM SIGCOMM Workshop on Internet measurment, IMW'02 - Marseille, France Duration: 6 Nov 2002 → 8 Nov 2002 |

### Conference

Conference | 2nd ACM SIGCOMM Workshop on Internet measurment, IMW'02 |
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Country | France |

City | Marseille |

Period | 6/11/02 → 8/11/02 |

### Keywords

- Traffic Modeling and Measurements
- Aggregate traffic
- Quantile-Quantile plots
- Normal plots
- Correlation tests

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## Cite this

Kilpi, J., & Norros, I. (2002). Testing the Gaussian approximation of aggregate traffic. In

*Proceedings of the 2nd Internet Measurement Workshop IMW 2002*(pp. 49-61). Association for Computing Machinery ACM. https://doi.org/10.1145/637201.637207