The Time Back to the Most Recent Common Ancestor in Exchangeable Population Models

Autor: Möhle, M.

Publikováno v: Advances in Applied Probability, 2004 Mar 01. 36(1), 78-97.

Externí odkaz: https://www.jstor.org/stable/1428354

Clumping in Multitype-Branching Trees

Autor: López-Mimbela, J. Alfredo, Wakolbinger, Anton

Publikováno v: Advances in Applied Probability, 1996 Dec 01. 28(4), 1034-1050.

Externí odkaz: https://www.jstor.org/stable/1428163

Some Properties of Stationary Continuous State Branching Processes

Autor: Romain Abraham, Jean-François Delmas, Hui He

Publikováno v: Stochastic Processes and their Applications
Stochastic Processes and their Applications, 2021, 141, pp.309-343
Stochastic Processes and their Applications, Elsevier, 2021, 141, pp.309-343

We consider the genealogical tree of a stationary continuous state branching process with immigration. For a sub-critical stable branching mechanism, we consider the genealogical tree of the extant population at some fixed time and prove that, up to

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5a9ac5afc3fa870d05e28cc7b33be713
https://hal.science/hal-02614083

Convergence to the coalescent and its relation to the time back to the most recent common ancestor

Autor: Martin Möhle

Publikováno v: Discrete Mathematics & Theoretical Computer Science, Vol DMTCS Proceedings vol. AI,..., Iss Proceedings (2008)

For the class of haploid exchangeable population models with non-overlapping generations and population size $N$ it is shown that, as $N$ tends to infinity, convergence of the time-scaled ancestral process to Kingman's coalescent and convergence in d

Externí odkaz: https://doaj.org/article/dd2fea00560f4a3eb78c7a9b95826eb8

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