Academic Journal
The coalescent of a sample from a linear-fractional branching process.
| Τίτλος: | The coalescent of a sample from a linear-fractional branching process. |
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| 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 |
| ISSN: | 1096-0325 |
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| DOI: | 10.1016/j.tpb.2026.05.001 |