Leviyang Sivan, Hamilton Matthew B
Georgetown University, Department of Mathematics, United States.
Theor Popul Biol. 2011 Feb-Mar;79(1-2):39-52. doi: 10.1016/j.tpb.2010.11.001. Epub 2010 Nov 20.
Weir and Cockerham introduced single locus and multiloci F(st) estimators for the parameter θ. These estimators are commonly used, but little beyond their bias and variance is known. In this work, we develop formulas that allow us to describe how the underlying value of θ and the genetic diversity of sampled loci affect the distributions of these estimators. We show that in certain settings, these estimators are close to normal, while in others they are far from normal. We use these results to analyze confidence interval construction for θ, showing that the percentile-t bootstrap works well while the BCa bootstrap works poorly. Our results are derived using a novel coalescent based method.
韦尔和科克伦针对参数θ引入了单基因座和多基因座F(st)估计量。这些估计量被广泛使用，但除了它们的偏差和方差外，人们对其了解甚少。在这项工作中，我们推导出了一些公式，这些公式使我们能够描述θ的基础值和抽样基因座的遗传多样性如何影响这些估计量的分布。我们表明，在某些情况下，这些估计量接近正态分布，而在其他情况下则远离正态分布。我们利用这些结果来分析θ的置信区间构建，结果表明百分位数-t自助法效果良好，而BCa自助法效果不佳。我们的结果是使用一种基于新型合并的方法推导出来的。
