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Published in 2022 at "Journal of Applied Probability"
DOI: 10.1017/jpr.2021.52
Abstract: Abstract Consider two-type linear-fractional branching processes in varying environments with asymptotically constant mean matrices. Let $\nu$ be the extinction time. Under certain conditions, we show that both $\mathbb{P}(\nu=n)$ and $\mathbb{P}(\nu>n)$ are asymptotically the same as…
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Keywords:
type linear;
fractional branching;
mean matrices;
two type ... See more keywords