Unified characteristic numbers and solutions of equations for birth and death processes with barriers

DOI10.1007/s10255-010-0009-yzbMath1203.60113OpenAlexW1982265023MaRDI QIDQ993679

Xiang-Qun Yang, He-Song Wang

Publication date: 20 September 2010

Published in: Acta Mathematicae Applicatae Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10255-010-0009-y

zbMATH Keywords

characteristic numbersbirth and death process with barrierleaping reflection and quasi-reflectionreflection and absorptionsolutions of equations with generator

Mathematics Subject Classification ID

Branching processes (Galton-Watson, birth-and-death, etc.) (60J80) Continuous-time Markov processes on discrete state spaces (60J27) Transition functions, generators and resolvents (60J35)

Cites Work

• The birth and death processes as diffusion processes
• The birth and death processes with zero as their absorbing barrier
• Distributions of lifetime after explosion for birth and death processes
• Some properties of repeated hits after first explosion for birth and death processes
• Joint distributions of first hitting time and first hitting location after explosion for birth and death processes.
• Decomposition and embedment of trajectories after explosion for a birth and death process
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