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The coalescent of a sample from a linear-fractional branching process.

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Τίτλος: The coalescent of a sample from a linear-fractional branching process.
Συγγραφείς: Cardona-Tobón N; Departamento de Estadística, Universidad Nacional de Colombia, C.P. 111321, Bogotá D.C., Colombia. Electronic address: ncardonat@unal.edu.co., Palau S; IIMAS, Universidad Nacional Autónoma de México, C.P. 04510, Ciudad de México, Mexico. Electronic address: sandra@sigma.iimas.unam.mx.
Πηγή: Theoretical population biology [Theor Popul Biol] 2026 Oct; Vol. 171, pp. 22-28. Date of Electronic Publication: 2026 Jun 11.
Τύπος έκδοσης: Journal Article; Research Support, Non-U.S. Gov't
Γλώσσα: English
Στοιχεία περιοδικού: Publisher: Academic Press Country of Publication: United States NLM ID: 0256422 Publication Model: Print-Electronic Cited Medium: Internet ISSN: 1096-0325 (Electronic) Linking ISSN: 00405809 NLM ISO Abbreviation: Theor Popul Biol Subsets: MEDLINE
Imprint Name(s): Original Publication: New York, Academic Press.
Ιατρικοί όροι (MeSH): Genetics, Population* , Probability*, Humans ; Binomial Distribution
Περίληψη: In this article, we focus on Bienaymé-Galton-Watson processes with linear-fractional offspring distributions. At a fixed generation, we consider a sample of the individuals alive, drawn in two different ways: either through Bernoulli sampling, where each individual is selected independently with a given probability, or through uniform sampling, where a fixed number of individuals are chosen uniformly at random. We analyze the genealogical trees generated by the sampled individuals. In particular, we establish a relationship between the distributions of the trees resulting from the two sampling schemes.
(Copyright © 2026 The Author(s). Published by Elsevier Inc. All rights reserved.)
Competing Interests: Declaration of competing interest The authors declare that they have no known competing financial interests or personal relationships that could have appeared to influence the work reported in this paper.
Contributed Indexing: Keywords: Bernoulli sampling; Branching process; Coalescent point process; Linear-fraction distribution; Uniform sampling
Entry Date(s): Date Created: 20260611 Date Completed: 20260923 Latest Revision: 20260926
Update Code: 20260927
DOI: 10.1016/j.tpb.2026.05.001
PMID: 42276298
Βάση Δεδομένων: MEDLINE
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  Data: In this article, we focus on Bienaymé-Galton-Watson processes with linear-fractional offspring distributions. At a fixed generation, we consider a sample of the individuals alive, drawn in two different ways: either through Bernoulli sampling, where each individual is selected independently with a given probability, or through uniform sampling, where a fixed number of individuals are chosen uniformly at random. We analyze the genealogical trees generated by the sampled individuals. In particular, we establish a relationship between the distributions of the trees resulting from the two sampling schemes.<br /> (Copyright © 2026 The Author(s). Published by Elsevier Inc. All rights reserved.)
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