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Estimation of Hurst Parameter for Self-similar Traffic

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Advances in Computer Science for Engineering and Education III (ICCSEEA 2020)

Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 1247))

Abstract

Recent studies have shown that the network traffic of modern networks has the properties of self-similarity. And this requires finding adequate traffic simulation methods and download processes in modern telecommunications networks. Models of self-similar traffic and the process of loading telecommunication networks are based on the methods of fractional Brownian motion (FBM) modeling. Traffic characteristics of modern telecommunications networks vary widely and depend on a large number of network settings and settings, protocol characteristics and user experience. The self-similarity of the fractional Brownian motion is characterized by the Hurst index. The article explores methods for estimating the Hurst index. Realizations of fractional Brownian motion with known Hurst index are considered. For these realizations the obtained Hurst’s estimates.

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Author information

Authors and Affiliations

  1. Taras Shevchenko National University of Kyiv, Kyiv, Ukraine

    Anatolii Pashko

  2. National Aviation University, Kyiv, Ukraine

    Tetiana Oleshko

  3. Uzhgorod National University, Uzhhorod, Ukraine

    Olga Syniavska

Authors
  1. Anatolii Pashko
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  2. Tetiana Oleshko
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  3. Olga Syniavska
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Corresponding author

Correspondence to Anatolii Pashko .

Editor information

Editors and Affiliations

  1. School of Educational Information Technology, Central China Normal University, Wuhan, Hubei, China

    Zhengbing Hu

  2. Mechanical Engineering Research Institute, Russian Academy of Sciences, Moscow, Russia

    Sergey Petoukhov

  3. Faculty of Applied Mathematics, National Technical University of Ukraine, Kiev, Ukraine

    Ivan Dychka

  4. Halmos College of Natural Sciences and Oceanography, Nova Southeastern University, Davie, FL, USA

    Matthew He

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Pashko, A., Oleshko, T., Syniavska, O. (2021). Estimation of Hurst Parameter for Self-similar Traffic. In: Hu, Z., Petoukhov, S., Dychka, I., He, M. (eds) Advances in Computer Science for Engineering and Education III. ICCSEEA 2020. Advances in Intelligent Systems and Computing, vol 1247. Springer, Cham. https://doi.org/10.1007/978-3-030-55506-1_16

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