Coalescent results for diploid exchangeable population models l

Publikationstyp:
Zeitschriftenaufsatz
Metadaten:
Autoren
  • Matthias Birkner
  • Huili Liu
  • Anja Sturm
Autoren-URL
https://www.webofscience.com/api/gateway?GWVersion=2&SrcApp=fis-test-1&SrcAuth=WosAPI&KeyUT=WOS:000434456200005&DestLinkType=FullRecord&DestApp=WOS_CPL
DOI
10.1214/18-EJP175
Externe Identifier
  • Clarivate Analytics Document Solution ID: GI6CE
ISSN
1083-6489
Zeitschrift
ELECTRONIC JOURNAL OF PROBABILITY
Schlüsselwörter
  • diploid population model
  • diploid ancestral process
  • coalescent with simultaneous multiple collisions
Artikelnummer
ARTN 49
Datum der Veröffentlichung
2018
Status
Published
Titel
Coalescent results for diploid exchangeable population models l
Sub types
  • Article
Ausgabe der Zeitschrift
23

Datenquelle: Web of Science (Lite)

Andere Metadatenquellen:
Autoren
  • Matthias Birkner
  • Huili Liu
  • Anja Sturm
DOI
10.1214/18-ejp175
ISSN
1083-6489
Ausgabe der Veröffentlichung
none
Zeitschrift
Electronic Journal of Probability
Datum der Veröffentlichung
2018
Status
Published
Herausgeber
Institute of Mathematical Statistics
Herausgeber URL
http://dx.doi.org/10.1214/18-ejp175
Datum der Datenerfassung
2022
Titel
Coalescent results for diploid exchangeable population models
Ausgabe der Zeitschrift
23

Datenquelle: Crossref

Abstract
We consider diploid bi-parental analogues of Cannings models: in a population of fixed size $N$ the next generation is composed of $V_{i,j}$ offspring from parents $i$ and $j$, where $V=(V_{i,j})_{1\le i\neq j \le N}$ is a (jointly) exchangeable (symmetric) array. Every individual carries two chromosome copies, each of which is inherited from one of its parents. We obtain general conditions, formulated in terms of the vector of the total number of offspring to each individual, for the convergence of the properly scaled ancestral process for an $n$-sample of genes towards a ($\Xi$-)coalescent. This complements M\"ohle and Sagitov's (2001) result for the haploid case and sharpens the profile of M\"ohle and Sagitov's (2003) study of the diploid case, which focused on fixed couples, where each row of $V$ has at most one non-zero entry. We apply the convergence result to several examples, in particular to two diploid variations of Schweinsberg's (2003) model, leading to Beta-coalescents with two-fold and with four-fold mergers, respectively.
Autoren
  • Matthias Birkner
  • Huili Liu
  • Anja Sturm
Autoren-URL
http://arxiv.org/abs/1709.02563v2
Schlüsselwörter
  • math.PR
  • math.PR
Notes
41 pages, 1 figure
Datum der Veröffentlichung
2017
Datum der Datenerfassung
2017
Datum, an dem der Datensatz öffentlich gemacht wurde
2017
Titel
Coalescent results for diploid exchangeable population models

Files

1709.02563v2.pdf

Datenquelle: arXiv

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