Precise Large Deviations For The Total Population Of Heavy-Tailed Subcritical Branching Process With Immigration

Jiayan Guo, Wenming Hong

In this article we focus on the partial sum $S_n=X_1+\cdots +X_n$ of the subcritical branching process with immigration $\{X_n{\}}_{n\in {\mathbb{N}}_{+}}$, under the condition t…