Limit Theorems for Age-dependent Branching Process with Emigration
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Keywords

branching processes
stochastic additive functional
critical branching processes
emigration
perron root
moments

How to Cite

Aliyev, S., & Ibadova, I. (2025). Limit Theorems for Age-dependent Branching Process with Emigration. International Scientific-Practical Conference: „Modern Challenges and Achievements in Information and Communication Technologies“ Transactions, 4, 113-116. https://papers.4science.ge/index.php/mcaaict/article/view/377

Abstract

 In this paper we consider age-dependent branching processes with emigration as a part of the same process. We prove limit theorems for the process that describe number of particles which emigrated.

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References

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Shurenkov, V.A., On additive functionals of branching processes, Theory of Probality and its Applications, 24(2), 396-401 (1979)

Weiner, h.J. Total progeny in a multitype critical age dependent branching process with immigration, Journal of Applied Probability, 11(3), 458-470 (1974)