# The general coalescent with asynchronous mergers of ancestral lines

@article{Sagitov1999TheGC, title={The general coalescent with asynchronous mergers of ancestral lines}, author={Serik Sagitov}, journal={Journal of Applied Probability}, year={1999}, volume={36}, pages={1116 - 1125} }

Take a sample of individuals in the fixed-size population model with exchangeable family sizes. Follow the ancestral lines for the sampled individuals backwards in time to observe the ancestral process. We describe a class of asymptotic structures for the ancestral process via a convergence criterion. One of the basic conditions of the criterion prevents simultaneous mergers of ancestral lines. Another key condition implies that the marginal distribution of the family size is attracted by an…

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