Harmonic Moments and Large Deviations for a Critical Galton-Watson Process with State-dependent Immigration
In this paper, a critical Galton-Watson branching process with state-dependent immigration Z = {Zₙ: n ≥ 0} is considered, where immigration is allowed to enter iff the previous generation was empty. We obtain the convergence rate of the harmonic moments of Zₙ firstly, and then the rate of convergence to zero as n → ∞ of P(|Zₙ₊₁/Zₙ − 1| > ε | Zₙ > 0) (ε > 0) is studied.
Authors
- Yinxiangzi Sheng (ORCID: https://orcid.org/0000-0002-3552-9786)
- Mingyang Sun (ORCID: https://orcid.org/0000-0002-5790-5025)
- Dewei Li (ORCID: https://orcid.org/0000-0002-0604-7518)
Institutions
- Beijing Normal University (CN)
- Beijing University of Technology (CN)
Publication Details
- Journal
- Markov Processes And Related Fields
- Published
- 2025-05-06
- DOI
- https://doi.org/10.61102/1024-2953-mprf.2025.31.1.004
- Primary Topic
- Stochastic processes and statistical mechanics
- Type
- article
- Field-Weighted Citation Impact
- 0.00