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SEMINARS |
Seminar by Department of Discrete Mathematic, Steklov Mathematical Institute of RAS
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Some results for branching processes with weakly dependent immigration S. O. Sharipov V. I. Romanovskiy Institute of Mathematics of the Academy of Sciences of Uzbekistan, Tashkent |
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Abstract: Let $$ X_{0}= 0,\ \ X_{k}=\sum\limits_{j=1}^{X_{k-1}} {{\xi_{k,j}}+{\varepsilon_k}},\ \ k \geq 1. $$ We consider the critical case, i.e. when We primarily focus on the case where the immigration process follows non-identically distributed random variables. In the context of branching processes, this means that the immigration rate may depend on the time of immigration. I. Rahimov systematically investigated the asymptotic behaviour of Motivated by Rahimov's results on functional limit theorems for |