INTEGRAL FUNCTIONALS FROM BRANCHING PROCESSES

Authors

  • Т. Aliyev Institute of Control Systems of ANAS
  • Sh. Bakhshiev Institute of Control Systems of ANAS
  • К. Jabiev Institute of Control Systems of ANAS, DN Technology

Keywords:

однородность по второй компоненте, ветвящийся процесс, безгранично делимый закон, свертка производящей функции

Abstract

Consider a Markov branching process

Author Biographies

Т. Aliyev, Institute of Control Systems of ANAS

candidate of physical and mathematical sciences, associate professor

Sh. Bakhshiev, Institute of Control Systems of ANAS

candidate of technical sciences

К. Jabiev, Institute of Control Systems of ANAS, DN Technology

Leading software support specialist, doctoral student

References

. Ezhov I.I., Skorokhod A.V. Markov processes homogeneous in the second component. Sat. "Probability theory and its application", no. 1.4, 1969.

. B.A. Sevastyanov, Branching processes M. Publishing house "Nauka" 1971.

. T. Harris, Theory of branching random processes, M. publishing house. "Mir", 1966.

. S. Aliev, Y.I. Yeleyko and I.B. Bazylevych, Limit theoremsand transitional, phenomena in the theory of branching processes. Monoqrafiya, Mathematical studies, MonographSeries, v. XIV, VNTL, 2010, 256 p.

.S.A. Aliev., F. Rahimov and M. Navidi On asymptotic behavior of conditional probability of crossing thenonlinear boundary byperturbed random walk. Theory ofstochasticprocesses, 17 (34), 2011, p.5-11.

. Shurenkov, On additive functionals of branching processes "Theory of random processes", 1977, p. 389-394.

S. Hautphenne and G. Latonche, Lyapunov exponent for multitype branching processes in a randomenvironment. The University of Queensland. Oct. 2014 Brisbane, Australia İnvited by Dr. Yoni Nazarathy

S. S. Hautphenneand G. Latonche, Multiple branching processes in a random environment: Would they survive forever? The 50thANZIAM Applied Mathematicsconference, Feb. 2014, Rotorua, New Zeland.

. B. Ramachandran, The Theory of Characteristic Functions, M. Nauka Publishing House 1975.

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Published

2021-03-22

Issue

Vol. 2 No. 12(64) (2020)

Section

Статьи

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