An asymptotically normal test for the selective neutrality hypothesis

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dc.creatorPinheiro, Aluísio
dc.creatorPinheiro, Hildete P.
dc.creatorKiihl, Samara
dc.date2008-05-16
dc.date.accessioned2026-07-07T12:18:58Z
dc.date.available2026-07-07T12:18:58Z
dc.descriptionAn important parameter in the study of population evolution is $θ=4Nν$, where $N$ is the effective population size and $ν$ is the rate of mutation per locus per generation. Therefore, $θ$ represents the mean number of mutations per site per generation. There are many estimators of $θ$, one of them being the mean number of pairwise nucleotide differences, which we call $\mathcal{T}_2$. Other estimators are $\mathcal{T}_1$, based on the number of segregating sites and $\mathcal{T}_3$, based on the number of singletons. The concept of selective neutrality can be interpreted as a differentiated nucleotide distribution for mutant sites when compared to the overall nucleotide distribution. Tajima (1989) has proposed the so-called Tajima's test of selective neutrality based on $\mathcal{T}_2-\mathcal{T}_1$. Its complex empirical behavior (Kiihl, 2005) motivates us to propose a test statistic solely based on $\mathcal{T}_2$. We are thus able to prove asymptotic normality under different assumptions on the number of sequences and number of sites via $U$-statistics theory.
dc.descriptionPublished in at http://dx.doi.org/10.1214/193940307000000293 the IMS Collections (http://www.imstat.org/publications/imscollections.htm) by the Institute of Mathematical Statistics (http://www.imstat.org)
dc.identifierhttps://arxiv.org/abs/0805.2516
dc.identifierhttp://arxiv.org/abs/0805.2516
dc.identifierIMS Collections 2008, Vol. 1, 377-389
dc.identifierdoi:10.1214/193940307000000293
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/212597
dc.subjectStatistics Theory
dc.subject62G10, 62G20 (Primary) 62P10 (Secondary)
dc.titleAn asymptotically normal test for the selective neutrality hypothesis
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