We consider a sequence of almost critical branching processes with immigration supposing that the immigration process is weakly stationary. The rate of growth and asymptotic properties of fluctuations of such branching processes are investigated.
Рассмотрена последовательность почти критических ветвящихся процессов с иммиграцией в случае, когда иммиграция образует стационарный процесс в широком смысле. Изучены скорость роста и асимптотика флуктуации таких процессов.
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