Series expansions of probability generating functions and bounds for the extinction probability of a branching process

DOI10.2307/3213203zbMath0447.60064OpenAlexW4253224401MaRDI QIDQ3893077

Prakash Narayan, Daryl J. Daley

Publication date: 1980

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

Full work available at URL: https://doi.org/10.2307/3213203

zbMATH Keywords

branching processprobability generating functionsfactorial momentsGalton-Watson processextinction probability bounds

Mathematics Subject Classification ID

Characteristic functions; other transforms (60E10) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80)

Related Items (5)

Branching processes. I ⋮ On the probability of extinction of a Galton-Watson process. ⋮ Extinction in a branching process: why some of the fittest strategies cannot guarantee survival ⋮ Some New Bounds on the Probability of Extinction of a Galton–Watson Process with Numerical Comparisons ⋮ Flexible models for overdispersed and underdispersed count data

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