A critical branching process with immigration in varying environments

Kosto V. Mitov

Statistics & Probability Letters, 2021, vol. 168, issue C

Abstract: The paper studies a critical Bienaymé–Galton–Watson branching processes with immigration in varying environments. Assuming that the offspring variance is infinite and the mean number of immigrants is either finite or infinite is proved the asymptotic formulas for the probability for non extinction. The proper limiting distributions under the appropriate normalization are also proved.

Keywords: Branching process; Varying environments; Non-extinction; Limit theorems (search for similar items in EconPapers)
Date: 2021
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Citations: View citations in EconPapers (1)

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DOI: 10.1016/j.spl.2020.108928

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