Enviar artigo por via de e-mail Asymptotic behaviour of the survival probability of almost critical branching processes in a random environment
- Autores: Kharlamov V.V.1
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Afiliações:
- Steklov Mathematical Institute of Russian Academy of Sciences
- Edição: Volume 215, Nº 1 (2024)
- Páginas: 131-152
- Seção: Articles
- URL: https://bakhtiniada.ru/0368-8666/article/view/251797
- DOI: https://doi.org/10.4213/sm9923
- ID: 251797
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Resumo
A generalization of the well-known result concerning the survival probability of a critical branching process in random environment $Z_k$ is considered. The triangular array scheme of branching processes in random environment $Z_{k,n}$ that are close to $Z_k$ for large n is studied. The equivalence of the survival probabilities for the processes $Z_{n,n}$ and $Z_n$ is obtained under rather natural assumptions on the closeness of Zk,n and Zk.
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Sobre autores
Victor Kharlamov
Steklov Mathematical Institute of Russian Academy of Sciences
Autor responsável pela correspondência
Email: math-net2025_06@mi-ras.ru
without scientific degree, no status
Bibliografia
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- J. Geiger, G. Kersting, “The survival probability of a critical branching process in random environment”, Теория вероятн. и ее примен., 45:3 (2000), 607–615
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- G. Kersting, V. Vatutin, Discrete time branching processes in random environment, Math. Stat. Ser., John Wiley & Sons, London; ISTE, Hoboken, NJ, 2017, xiv+286 pp.
- D. Denisov, A. Sakhanenko, V. Wachtel, “First-passage times for random walks with nonidentically distributed increments”, Ann. Probab., 46:6 (2018), 3313–3350
- В. В. Петров, Суммы независимых случайных величин, Наука, М., 1972, 414 с.
- А. В. Скороход, “Предельные теоремы для случайных процессов”, Теория вероятн. и ее примен., 1:3 (1956), 289–319
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