A flow of physical events (photons, electrons, and other elementary particles) is studied. One of the mathematical models of such flows is the modulated MAP flow of events circulating under conditions of unextendable dead time period. It is assumed that the dead time period is an unknown fixed value. The problem of estimation of the dead time period from observations of arrival times of events is solved by the method of maximum likelihood.
Similar content being viewed by others
References
G. P. Basharin, V. A. Kokotushkin, and V. A. Naumov, Izv. Akad. Nauk SSSR. Tekh. Kibern., No. 6, 92–99 (1980).
G. P. Basharin, V. A. Kokotushkin, and V. A. Naumov, Izv. Akad. Nauk SSSR. Tekh. Kibern., No. 1, 55–61 (1980).
L. A. Nezhel’skaya, Commun. Comput. Inform. Sci., 487, 342–350 (2014).
L. A. Nezhel’skaya, Commun. Comput. Inform. Sci., 564, 141–151 (2015).
L. A. Nezhel’skaya, Vestn. Tomsk. Gosud. Univ. Upravl., Vychisl. Tekh. Inform., No. 1 (30), 57–67 (2015).
A. M. Gortsev, L. A. Nezhel’skaya, and A. A. Solov’ev, Autom. Remote Control, 73, No. 8, 1316–1326 (2012).
A. M. Gortsev, L. A. Nezhel’skaya, and T. I. Shevchenko, Russ. Phys. J., 36, No. 12, 1153–1167 (1993).
D. V. Berezin and L. A. Nezhel’skaya, Vestn. Tomsk. Gosud. Univ. Upravl., Vychisl. Tekh. Inform., No. 3 (32), 4–13 (2015).
M. A. Leonova and L. A. Nezhel’skaya, Vestn. Tomsk. Gosud. Univ. Upravl., Vychisl. Tekh. Inform., No. 2, 88–101 (2012).
L. A. Nezhelskaya, Vestn. Tomsk. Gosud. Univ., No. 269, 95–98. (2000).
M. A. Bakholdina and A. M. Gortsev, Appl. Math. Sci., 9, No. 29–32, 1433–1451 (2015).
I. V. Bushlanov and A. M. Gortsev, Avtomat. i Telemekh., No. 9, 40–51 (2004).
I. V. Bushlanov and A. M. Gortsev, Autom. Remote Control, 65, No. 9, 1389–1399 (2004).
A. M. Gortsev and I. S. Shmyrin, Autom. Remote Control, 60, No. 1, 41–51 (1999).
A. M. Gortsev and L. A. Nezhel’skaya, Discrete Math. Appl., 21, No. 3, 283–290 (2011).
A. M. Gortsev and L. A. Nezhel’skaya, Discrete Math. Appl., 23, No. 2, 59–65 (2011).
I. V. Bushlanov, A. M. Gortsev, and L. A. Nezhelskaya, Autom. Remote Control, 69, No. 9, 1517–1533 (2008).
I. V. Bushlanov, A. M. Gortsev, and L. A. Nezhelskaya, Avtomat. i Telemekh., No. 9, 76–93 (2008).
A. M. Gortsev and L. A. Nezhel’skaya, Vestn. Tomsk. Gosud. Univ., No. 18, 267 (2006).
A. M. Gortsev and L. A. Nezhel’skaya, Vestn. Tomsk. Gosud. Univ., No. 1, 18 (2002).
A. M. Gortsev and L. A. Nezhel’skaya, Vestn. Tomsk. Gosud. Univ., No. 1, 24 (2002).
A. M. Gortsev and L. A. Nezhel’skaya, Radiotekhnika, 40, No. 7–8, 6–10 (1995).
A. M. Gortsev and L. A. Nezhel’skaya, Telecomm. Radio Eng., 50, No. 1, 56–63 (1996).
A. A. Kalyagin and L. A. Nezhel’skaya, Vestn. Tomsk. Gosud. Univ. Upravl., Vychisl. Tekh. Inform., No. 3 (32), 23–32 (2015).
A. M. Gortsev, A. A. Kalyagin and L. A. Nezhel’skaya, Vestn. Tomsk. Gosud. Univ. Upravl., Vychisl. Tekh. Inform., No. 1, 27–37 (2015).
A. M. Gortsev, A. A. Kalyagin and L. A. Nezhel’skaya, Vestn. Tomsk. Gosud. Univ. Upravl., Vychisl. Tekh. Inform., No. 2 (27), 19–29 (2014).
M. A. Leonova and L. A. Nezhel’skaya, Izv. Vyssh. Uchebn. Zaved. Fiz., 56, No. 9/2, 220–222 (2013).
A. M. Gortsev, M. A. Leonova, and L. A. Nezhel’skaya, Vestn. Tomsk. Univ., Upravl., Vychisl. Tekh. Inform., No. 4 (25), 32–42 (2013).
M. A. Leonova and L. A. Nezhel’skaya, Vestn. Tomsk. Gosud. Univ., Upravl., Vychisl. Tekh. Inform., No. 2 (23), 54–63 (2013).
A. M. Gortsev, M. A. Leonova, and L. A. Nezhel’skaya, Vestn. Tomsk. Gosud. Univ., Upravl., Vychisl. Tekh. Inform., No. 4 (21), 14–25 (2012).
A. M. Gortsev and L. A. Nezhel’skaya, Vychisl. Tekh., 13, No. 1,C. 31–41, (2008).
A. M. Gortsev and L. A. Nezhel’skaya, Radiotekhnika, No. 10, 8–16 (2004).
A. M. Gortsev and L. A. Nezhel’skaya, Meas. Techn., 46, No. 6, 536– 545 (2003).
A. M. Gortsev and L. A. Nezhel’skaya, Vestn. Tomsk. Gosud. Univ., No. 6, 232 (2003).
A. M. Gortsev and A. A. Solov’ev, Russ. Phys. J., 57, No. 7, 973–983 (2014).
A. M. Gortsev and O. V. Nissenbaum, Russ. Phys. J., 48, No. 10, 1039–1054 (2005).
L. A. Vasil’eva and A. M. Gortsev, Autom. Remote Control, 64, No. 12, 1890–1898 (2003).
L. A. Vasil’eva and A. M. Gortsev, Avtomat. i Telemekh., No. 3, 179–184 (2002).
A. M. Gortsev and I. S. Klimov, Radiotekhnika, No. 2, 8–11 (1996).
A. M. Gortsev and I. S. Klimov, Telecomm. Radio Eng., 48, No. 10, 40–45 (1993).
A. M. Gortsev and I. S. Klimov, Telecomm. Radio Eng., 47, No. 1, 33–38 (1992).
Yu. V. Malinovskii, Probability Theory and Mathematical Statistics, Part 2, Mathematical Statistics [in Russian], Gomel’ State University Publishing House, Gomel’ (2004).
Author information
Authors and Affiliations
Corresponding author
Additional information
Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 5, pp. 43–53, May, 2016.
Rights and permissions
About this article
Cite this article
Nezhel’skaya, L.A. Estimation of the Unextendable Dead Time Period in a Flow of Physical Events by the Method of Maximum Likelihood. Russ Phys J 59, 651–662 (2016). https://doi.org/10.1007/s11182-016-0818-4
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11182-016-0818-4