A recurrent generalized asynchronous flow of events (generalized MMPP flow) is considered which represents a widespread mathematical model of the flow of elementary particles and information requests in telecommunication and computer networks and belongs to the class of double stochastic flows of events. The functioning of the flow is considered under the conditions of a random unextendable dead time distributed uniformly over the interval [0, T*]. The dead time parameter T* is estimated by the method of moments. The results of statistical experiments are presented.
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References
G. P. Basharin, V. A. Kokotushkin, and V. A. Naumov, Proc. USSR Acad. Sci. Techn. Cybern. No. 6, 92–99 (1979).
M. F. Neuts, J. Appl. Probabil., 16, 764–779 (1979).
V. V. Apanasovich, A. A. Kolyada, and A. F. Chernyavskii, Statistical Analysis of Series of Random Events in Physical Experiment, Universitetskoe Publishing House, Minsk (1988).
I. V. Bushlanov and A. V. Gortsev, Autom. Remote Control, 65, No. 9, 1389–1399 (2004).
A. M. Gortsev and L. A. Nezhel’skaya, Telecomm. Radio Eng., 50, No. 1, 56–63 (1996).
A. M. Gortsev, L. A. Nezhel’skaya, and T. I. Shevchenko, Russ. Phys. J., 36, No.12, 1153–1167 (1993).
A. M. Gortsev, M. A. Leonova, and L. A. Nezhel’skaya, Tomsk State University Journal of Control and Computer Science, 21, No. 4, 14–25 (2012).
L. A. Nezhel’skaya, Commun. Comp. Inform. Sci., 487, 342–350 (2014).
L. A. Vasil’eva and A. M. Gortsev, Autom. Remote Control, 63, No. 3, 511–515 (2002).
A. M. Gortsev, M. A. Leonova, and L. A. Nezhel’skaya, Tomsk State University Journal of Control and Computer Science, 25, No. 4, 32–42 (2013).
L. A. Vasil’eva, Vestn. Tomskogo Gosud. Univ., No. S1-1, 9–13 (2002).
E. V. Glukhova and A. F. Terpugov, Russ. Phys. J., 38, No.3, 236–245 (1995).
A. M. Gortsev and L. A. Nezhelskaya, Discrete Math. Appl., 21, No. 3, 283–290 (2011).
L. A. Nezhel’skaya and A. A. Pershina, in Proc, 18th Int. Conf. on Information Technologies and Mathematical Modelling (ITMM-2019) named after A. F. Terpugov. Part 2, Tomsk (2019), pp. 352–357.
Yu. V. Malinkovsky, Probability Theory and Mathematical Statistics. Part 2, Mathematical Statistics, Publishing House of Francisk Skorina Gomel State University, Gomel (2004).
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Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 1, pp. 88–93, January, 2020.
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Nezhel’skaya, L.A., Pershina, A.A. Estimate of the Parameter of Unextendable Random Dead Time in a Recurrent Generalized Asynchronous Flow of Physical Events. Russ Phys J 63, 99–104 (2020). https://doi.org/10.1007/s11182-020-02007-5
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DOI: https://doi.org/10.1007/s11182-020-02007-5