The Distribution of Family Sizes Under a Time-Homogeneous Birth and Death Process

DOI10.1080/03610920902898498zbMath1196.60145arXiv0901.1066OpenAlexW2059981351WikidataQ28709542 ScholiaQ28709542MaRDI QIDQ3585277

Max Shpak, Panagis G. Moschopoulos

Publication date: 19 August 2010

Published in: Communications in Statistics - Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0901.1066

zbMATH Keywords

hypergeometric functionphylogenygenealogybirth-death processtaxon size

Mathematics Subject Classification ID

Probability distributions: general theory (60E05) Population dynamics (general) (92D25) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80)

Cites Work

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• The coalescent
• Maximum likelihood estimation in the birth-and-death process
• The special functions and their approximations. Vol. I, II
• A likelihood-ratio-based normal approximation for the non-null distribution of the multiple correlation coefficient
• On the Generalized "Birth-and-Death" Process

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