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A population model for $\Lambda$-coalescents with neutral mutations
Stockholm University, Faculty of Science, Department of Mathematics. Matematisk statistik.
2007 (English)In: Electronic Communications in Probability, ISSN 1083-589X, Vol. 12, 9-20 p.Article in journal (Refereed) Published
Abstract [en]

Bertoin and Le Gall (2003) introduced a certain probability measure valued Markov process that describes the evolution of a population, such that a sample from this population would exhibit a genealogy given by the so-called $\Lambda$-coalescent, or coalescent with multiple collisions, introduced independently by Pitman (1999) and Sagitov (1999). We show how this process can be extended to the case where lineages can experience mutations. Regenerative compositions enter naturally into this model, which is somewhat surprising, considering a negative result by Möhle (2007).

Place, publisher, year, edition, pages
2007. Vol. 12, 9-20 p.
Keyword [en]
population model, coalescent, mutations, exchangeability, sampling formula
National Category
Probability Theory and Statistics
URN: urn:nbn:se:su:diva-20322OAI: diva2:186848
Available from: 2007-03-07 Created: 2007-03-07 Last updated: 2011-01-11Bibliographically approved

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Lagerås, Andreas Nordvall
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