The stable pedigrees of critical branching populations
Keyword(s):
The asymptotic sizes and compositions of critical general branching processes conditioned on non-extinction are treated. First, results are given for processes counted with random characteristics allowed to depend on the whole daughter processes, then these are used to derive conditional limit theorems for the pedigrees of randomly sampled individuals among populations counted with 0–1-valued characteristics. The limiting stable pedigrees have nice independence structures and are easily derived from the original branching laws.
1984 ◽
Vol 21
(03)
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pp. 447-463
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2014 ◽
Vol 50
(2)
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pp. 602-627
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2008 ◽
Vol DMTCS Proceedings vol. AI,...
(Proceedings)
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1991 ◽
Vol 4
(4)
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pp. 263-292
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1977 ◽
Vol 14
(03)
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pp. 451-463
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Keyword(s):
2001 ◽
Vol 38
(2)
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pp. 421-437
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2001 ◽
Vol 38
(02)
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pp. 421-437
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2014 ◽
Vol 57
(12)
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pp. 2577-2588
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2016 ◽
Vol 53
(1)
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pp. 130-145
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