საკვანძო სიტყვები
branching processes
stochastic additive functional
critical branching processes
emigration
perron root
moments
stochastic additive functional
critical branching processes
emigration
perron root
moments
როგორ უნდა ციტირება
Aliyev, S., & Ibadova, I. (2025). Limit Theorems for Age-dependent Branching Process with Emigration. საერთაშორისო სამეცნიერო - პრაქტიკული კონფერენცია „თანამედროვე გამოწვევები და მიღწევები ინფორმაციულ და საკომუნიკაციო ტექნოლოგიებში" შრომები, 4, 113-116. https://papers.4science.ge/index.php/mcaaict/article/view/377
ანოტაცია
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.
წყაროები
Crump, K.S., On system of renewal equations: The reducible case, Journal of Mathematical Analysis and Applications, 31(3), 517-528 (1970)
Sevastyanov, B.A., Branching processes (in Russian) Nauka , Moscow (1971)
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)