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Joint Probability Density of Interarrival Interval of a Flow of Physical Events with Unextendable Dead Time Period

  • MATHEMATICAL PROCESSING OF PHYSICS EXPERIMENTAL DATA
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Russian Physics Journal Aims and scope

A flow of physical events (photons, electrons, etc.) is studied. One of the mathematical models of such flows is the Markovian arrival process (MAP) of flow of events. The flow functions are considered under conditions of unextendable dead time period. Explicit expressions for the probability density and joint probability density of interarrival interval of the observable flow are presented considering the effect of the unextendable dead time period. The recurrence relations for the observable flow of events are formulated.

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Authors and Affiliations

  1. National Research Tomsk State University, Tomsk, Russia

    A. M. Gortsev & A. A. Solov’ev

Authors
  1. A. M. Gortsev
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  2. A. A. Solov’ev
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Correspondence to A. A. Solov’ev.

Additional information

Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 7, pp. 103–111, July, 2014.

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Gortsev, A.M., Solov’ev, A.A. Joint Probability Density of Interarrival Interval of a Flow of Physical Events with Unextendable Dead Time Period. Russ Phys J 57, 973–983 (2014). https://doi.org/10.1007/s11182-014-0333-4

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  • DOI: https://doi.org/10.1007/s11182-014-0333-4

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