The coalescent point process of multi-type branching trees

We define a multi-type coalescent point process of a general branching process with countably many types. This multi-type coalescent fully describes the genealogy of the (quasi-stationary) standing population providing types along ancestral lineages of all individuals in the standing population. We show that the coalescent process is a functional of a certain Markov chain defined by the planar embedding of the multi-type branching process.

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Year of publication:	2014
Authors:	Popovic, Lea ; Rivas, Mariolys
Published in:	Stochastic Processes and their Applications. - Elsevier, ISSN 0304-4149. - Vol. 124.2014, 12, p. 4120-4148
Publisher:	Elsevier
Subject:	Genealogical tree \| Coalescent point process \| Multi-type branching process \| Linear fractional distribution \| Quasi-stationary distribution \| Tree shape

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Type of publication:	Article
Source:	RePEc - Research Papers in Economics

Persistent link: https://www.econbiz.de/10010940002