May 8, 2024Open Access

Precise large deviation for stationary sequence of branching process with immigration

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Resumen

It is known that there exists the stationary sequence of branching process with immigration \X₍\₍ under some conditions (Foster and Williamson (1971) ), when the offspring is critical or subcritical. A precise large deviation probability for the partial sum S₍=X₁++X₍ is specified, the significant difference is revealed for the critical and subcritical cases.

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Cite This Study

Guo et al. (Wed,) studied this question.

synapsesocial.com/papers/68e6b14fb6db643587633296 https://doi.org/https://doi.org/10.48550/arxiv.2405.04835

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4Small positive values and limit theorems for supercritical branching processes with immigration in random environment2024
5Stability of (sub)critical non-local spatial branching processes with and without immigration2024 · 1 citations

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