• Corpus ID: 254247120

Conditions for recurrence and transience for time-inhomogeneous birth-and-death processes

@inproceedings{Abramov2022ConditionsFR,
  title={Conditions for recurrence and transience for time-inhomogeneous birth-and-death processes},
  author={Vyacheslav M. Abramov},
  year={2022}
}
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. 
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