NoBLUE among phylogenetic estimators
NoBLUE among phylogenetic estimators
复制标题
DOI：
10.1007/s002850050173
复制
发表时间：
1999-11-01
影响因子：
1.9
通讯作者：
Joyce, P
中科院分区：
文献类型：
--
作者：
Joyce, P
多元分析是统计学的一个分支。成功地利用线性代数的强大工具获得：相当全面的估计理论。本文的目的是探讨在 DNA 多态性分析中使用的合并模型的背景下，线性估计理论可以发展到什么程度。我们考虑一大类聚结模型，其中中性无限位点模型就是一个例子。在此过程中，我们发现了线性估计器的一些局限性，这些局限性与经典理论中的局限性截然不同。特别是，我们证明，在中性进化模型的假设下，不存在统一的蓝色（最佳线性无偏估计量）：缩放突变参数。事实上，我们表明，基于分离位点总数，没有线性估计器的表现比 Watterson (1975) 方法更好。对于某些聚结模型，分离位点估计器实际上是最优的。一般结论如下。如果谱系信息对于估计进化速率有用，那么就没有最佳线性方法。如果存在最佳线性方法，则除了分离位点总数之外不需要任何信息。
Multivariate analysis is a branch of statistics that. successfully exploits the powerful tools of linear algebra to obtain:a fairly comprehensive theory of estimation. The purpose of this paper is to explore to what extent a linear theory of estimation can be developed in the context of coalescent models used in the analysis Of DNA polymorphism. We consider a large class of coalescent models, of which the neutral infinite sites model is one example. In the process, we discover several limitations of linear estimators that are quite distinct from those in the classical theory. In particular, we prove that there does not exist a uniformly BLUE (best linear unbiased estimator) for the:scaled mutation parameter, under the assumptions:of the neutral model of evolution. In fact, we show that no linear estimator performs uniformly better than the Watterson (1975) method based on the total number of segregating sites. For certain coalescent models, the segregating-sites estimator is actually optimal.The general conclusion is the following. If genealogical information is useful for estimating the rate of evolution, then there is no optimal linear method. If there is an optimal linear method, then no information-other than the total number of segregating sites is needed.