Weak convergence of population genealogical processes to the coalescent with ages (Q1184091)
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scientific article; zbMATH DE number 34057
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Weak convergence of population genealogical processes to the coalescent with ages |
scientific article; zbMATH DE number 34057 |
Statements
Weak convergence of population genealogical processes to the coalescent with ages (English)
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28 June 1992
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Finite size sample's genealogical processes from an asymptotically infinite population are considered. Appropriately rescaled, they are shown to converge in distribution, in some \(\infty\)-dimensional vector- valued function space of Skorokhod. This proves former conjectures and includes the authors' result [Adv. Appl. Probab. 23, No. 2, 229-258 (1991; Zbl 0724.60040)] on weak convergence of the equilibrium distributions of the processes.
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genealogical processes
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vector-valued function space of Skorokhod
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weak convergence
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0.9349811
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0.8899863
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0.8888897
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0.8883536
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0.88785595
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