Conditions for recurrence and transience for time-inhomogeneous birth-and-death processes
Probability
2023-05-11 v3
Abstract
We derive the conditions for recurrence and transience for time-inhomogeneous birth-and-death processes considered as random walks with positively biased drifts. We establish a general result, from which the earlier known particular results by Menshikov and Volkov [Electron. J. Probab., 13 (2008), paper No. 31, 944--960] follow.
Keywords
Cite
@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}
}
Comments
Minor corrections are made. The paper is accepted for publication in "Bulletin of the Australian Mathematical Society"