2024
DOI: 10.1101/2024.09.19.613917
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The TMRCA of general genealogies in populations of variable size

Alejandro H. Wences,
Lizbeth Peñaloza,
Matthias Steinrücken
et al.

Abstract: We study the time to the most recent common ancestor of a sample of finite size in a wide class of genealogical models for populations with variable size. This is made possible by recently developed results on inhomogeneous phase-type random variables, allowing us to obtain the density and the moments of the TMRCA of time-dependent coalescent processes in terms of matrix formulas. We also provide matrix sim- plifications permitting a more straightforward calculation. With these results, the TMRCA provides an e… Show more

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