时非齐次生灭过程常返性与暂态性的条件
概率论
2023-05-11 v3
摘要
我们推导了被视为具有正偏漂移随机游走的时非齐次生灭过程的常返性与暂态性条件。我们建立了一个一般性结果，由此可推出 Menshikov 与 Volkov [Electron. J. Probab., 13 (2008), paper No. 31, 944--960] 先前已知的特定结果。
引用
@article{arxiv.2212.01722,
title = {Conditions for recurrence and transience for time-inhomogeneous birth-and-death processes},
author = {Vyacheslav M. Abramov},
journal= {arXiv preprint arXiv:2212.01722},
year = {2023}
}
备注
Minor corrections are made. The paper is accepted for publication in "Bulletin of the Australian Mathematical Society"