scientific article; zbMATH DE number 7805279

arXiv2307.09034MaRDI QIDQ6154362

Unnamed Author

Publication date: 15 February 2024

Full work available at URL: https://arxiv.org/abs/2307.09034

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zbMATH Keywords

incomplete gamma functionbirth and death processesquasi-stationary distributions

Mathematics Subject Classification ID

Queueing theory (aspects of probability theory) (60K25) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80) Continuous-time Markov processes on discrete state spaces (60J27)

Cites Work

• Quasi-stationary distributions for birth-death processes with killing
• Quasi-stationary distributions and population processes
• Decay rates and cutoff for convergence and hitting times of Markov chains with countably infinite state space
• Quasi-Stationary Distributions
• Quasi-stationary distributions and convergence to quasi-stationarity of birth-death processes
• Existence of non-trivial quasi-stationary distributions in the birth-death chain
• Quasi-stationary distributions of birth-and-death processes
• Continued Fraction Analysis of the Duration of an Excursion in an M/M/∞ System
• Transient characteristics of an M/M/∞ system
• The limiting behavior of transient birth and death processes conditioned on survival
• Large population limit of the spectrum of killed birth-and-death processes

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