A critical branching process with immigration in random environment
نویسندگان
چکیده
A Galton–Watson branching process with immigration evolving in a random environment is considered. Its associated walk assumed to be oscillating. We prove functional limit theorem which the under consideration normalized by coefficient depending on only. The distribution of limiting described terms strictly stable Levy and sequence independent identically distributed variables this process.
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ژورنال
عنوان ژورنال: Stochastic Processes and their Applications
سال: 2021
ISSN: ['1879-209X', '0304-4149']
DOI: https://doi.org/10.1016/j.spa.2021.05.001