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Maximum Likelihood Estimation of the Dead Time Period Duration of a Modulated Synchronous Flow of Events

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Information Technologies and Mathematical Modelling - Queueing Theory and Applications (ITMM 2016)

Part of the book series: Communications in Computer and Information Science ((CCIS,volume 638))

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Abstract

A modulated synchronous doubly stochastic flow is considered. The flow under study is considered in conditions of a fixed dead time. It means that after each registered event there is a time of the fixed duration T (dead time), during which other flow events are inaccessible for observation. When duration of the dead time period finishes, the first event to occur creates the dead time period of duration T again and etc. It is supposed that the dead time period duration is an unknown variable. Using the maximum likelihood method and a moments of observed events occurrence the problem of dead time period estimation is solved.

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Acknowledgments

The work is supported by Tomsk State University Competitiveness Improvement Program.

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Authors and Affiliations

  1. National Research Tomsk State University, Tomsk, Russia

    Alexander Gortsev & Mariya Sirotina

Authors
  1. Alexander Gortsev
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  2. Mariya Sirotina
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Corresponding author

Correspondence to Mariya Sirotina .

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Editors and Affiliations

  1. Belarusian State University , Minsk, Belarus

    Alexander Dudin

  2. Tomsk State University , Tomsk, Russia

    Alexander Gortsev

  3. Tomsk State University , Tomsk, Russia

    Anatoly Nazarov

  4. Kemerovo State University , Anzhero-Sudzhensk, Russia

    Rafael Yakupov

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Gortsev, A., Sirotina, M. (2016). Maximum Likelihood Estimation of the Dead Time Period Duration of a Modulated Synchronous Flow of Events. In: Dudin, A., Gortsev, A., Nazarov, A., Yakupov, R. (eds) Information Technologies and Mathematical Modelling - Queueing Theory and Applications. ITMM 2016. Communications in Computer and Information Science, vol 638. Springer, Cham. https://doi.org/10.1007/978-3-319-44615-8_9

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  • DOI: https://doi.org/10.1007/978-3-319-44615-8_9

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-44614-1

  • Online ISBN: 978-3-319-44615-8

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