CONDITIONS FOR THE CONVERGENCE OF BRANCHING PROCESSES WITH IMMIGRATION STARTING FROM A LARGE NUMBER OF PARTICLES

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Published: Dec 7, 2022
Keywords:
Galton -Watson, branching processes , almost critical, random process, Skorokhod spaces

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H. K. Zhumakulov
Ph. D., Associate Professor of Kokand State Pedagogical Institute

Abstract

In this section, we study sufficient conditions for the convergence of a sequence of almost critical Galton -Watson branching processes with uniform immigration starting from a large number of particles.

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How to Cite
H. K. Zhumakulov. (2022). CONDITIONS FOR THE CONVERGENCE OF BRANCHING PROCESSES WITH IMMIGRATION STARTING FROM A LARGE NUMBER OF PARTICLES. Galaxy International Interdisciplinary Research Journal, 10(12), 309–313. Retrieved from https://internationaljournals.co.in/index.php/giirj/article/view/3035
Issue
Vol. 10 No. 12 (2022): GIIRJ
Section
Articles
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This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

References

Gikhman I.I., Skorokhod A.V. Theory of random processes. In 3 vols. -M.: Nauka, 1973. Vol.3. –496 S.

Anisimov V.V., Lebedev E.A. Stochastic queuing networks. Markov models. - Kiev, "L i b i d " 1992. -207 p.

Formanov , Sh K., and Sh Juraev . "On Transient Phenomena in Branching Random Processes with Discrete Time." Lobachevskii Journal of Mathematics 42.12 (2021): 2777-2784.

Khusanbaev , Ya. M., Kh. K. Zhumakulov . "On the convergence of almost critical branching processes with immigration to a deterministic process." O'ZBEKISTON MATEMATIKA JURNALI (2017): 142.

Zhumakulov Kh.K. On the asymptotics of an almost critical branching process with immigration. // DAN RUz . - Tashkent, 2010. - No. 1. - S. 7-10.

Khusanbaev Ya.M., Zhumakulov H.K. On the asymptotic behavior of critical branching processes with immigration. // UzMJ. - Tashkent, 2017. - No. 1. - S. 146-155.

Khusanbaev Ya.M., Zhumakulov H.K. On the convergence of almost critical branching processes with immigration to a deterministic process. // UzMJ. - Tashkent, 2017. - No. 3. - S. 142-148.

Muydinjanov , Davlatjon R. "Holmgren problem for Helmholtz equation with the three singular coefficients." e-Journal of Analysis and Applied Mathematics 2019.1 (2019): 15-30.