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Coalescent lineage distributions

Abstract:

We study identities for the distribution of the number of edges at time t back (i.e. measured backwards) in a coalescent tree whose subtrees have no mutations. This distribution is important in the infinitely-many-alleles model of mutation, where every mutation is unique. The model includes, as a special case, the number of edges in a coalescent tree at time t back when mutation is ignored. The identities take the form of expected values of functions of Zt = eiXt, where Xt is distributed as s...

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Publication status:
Published

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Publisher copy:
10.1239/aap/1151337077

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Institution:
University of Oxford
Department:
Oxford, MPLS, Statistics
Journal:
ADVANCES IN APPLIED PROBABILITY
Volume:
38
Issue:
2
Pages:
405-429
Publication date:
2006-06-05
DOI:
ISSN:
0001-8678
URN:
uuid:93d7bdbd-be6f-43d6-80e2-c67f3b6d1910
Source identifiers:
97769
Local pid:
pubs:97769

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