On the extinction time distribution of a branching process in varying environments

DOI10.2307/1426601zbMath0425.60070OpenAlexW2334904431MaRDI QIDQ3860604

Tetsuo Fujimagari

Publication date: 1980

Published in: Advances in Applied Probability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/1426601

zbMATH Keywords

extinction probabilitybranching processvarying environmentsfractional linear functionextinction time distributionfractional linear generating function

Mathematics Subject Classification ID

Branching processes (Galton-Watson, birth-and-death, etc.) (60J80)

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A scaling limit theorem for Galton-Watson processes in varying environments ⋮ Defective Galton-Watson processes in a varying environment ⋮ Two-type linear-fractional branching processes in varying environments with asymptotically constant mean matrices ⋮ Branching processes. II ⋮ Random fractals and tree-indexed Markov chains ⋮ Extremes of geometric variables with applications to branching processes. ⋮ A Branching Process with Immigration in Varying Environments ⋮ Bisexual Galton‐Watson Branching Process in Varying Environments ⋮ Extremum of a time-inhomogeneous branching random walk ⋮ An inhomogeneous controlled branching process

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