 Sufficiency of the number of segregating sites in the limit under finite-sites mutationArindam RoyChoudhury and John Wakeley Theoretical Population Biology, 2010, vol. 78, issue 2, 118-122 Abstract: We show that the number of segregating sites is a sufficient statistic for the scaled mutation parameter (θ) in the limit as the number of sites tends to infinity and there is free recombination between sites. We assume that the mutation parameter at each site tends to zero such than the total mutation parameter (θ) is constant in the limit. Our results show that Watterson’s estimator is the maximum likelihood estimator in this case, but that it estimates a composite parameter which is different for different mutation models. Some of our results hold when recombination is limited, because Watterson’s estimator is an unbiased, method-of-moments estimator regardless of the recombination rate. The quantity it estimates depends on the details of how mutations occur at each site. Keywords: Ewens’ sampling formula; Infinitely-many-alleles model; Infinitely-many-sites model; Maximum likelihood estimator; Mutation parameter; Number of segregating sites; Poisson Random Field; Sufficient statistic; Watterson’s estimator (search for similar items in EconPapers) Downloads: (external link) Related works: Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text Persistent link: https://EconPapers.repec.org/RePEc:eee:thpobi:v:78:y:2010:i:2:p:118-122 DOI: 10.1016/j.tpb.2010.05.003 Access Statistics for this article Theoretical Population Biology is currently edited by Jeremy Van Cleve More articles in Theoretical Population Biology from Elsevier |
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