Variances and covariances of linear summary statistics of segregating sites.
Variances and covariances of linear summary statistics of segregating sites.
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DOI：
10.1016/j.tpb.2022.03.005
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发表时间：
2022-06
影响因子：
1.4
通讯作者：
Fu YX
中科院分区：
文献类型：
--
作者：
Fu YX
DNA序列群体样本中的每个突变可以通过遗传突变核苷酸的序列的数量来分类，由此产生的频率被称为不同大小的突变或位点频谱。许多汇总统计量可以定义为这些频率的线性函数。本文分析了一类灵活的线性汇总统计量，其中包括几个众所周知的数量，如分离大小的数量和两个序列之间的核苷酸差异的平均数。得到了一些渐近方差和协方差，同时导出了9个线性汇总统计量的方差和协方差的解析公式，其中大多数是未知的。本研究不仅为线性概括统计量的研究提供了理论基础，而且为样本多态性分析提供了新的线性概括统计量。此外，它表明，一个新开发的线性汇总统计量有一个较小的方差几乎一致地比Watterson的估计，一类线性汇总统计量给予太重的权重较小的大小的突变导致渐近非零方差。
Each mutation in a population sample of DNA sequences can be classified by the number of sequences that inherit the mutant nucleotide, the resulting frequencies are known as mutations of different sizes or site frequency spectrum. Many summary statistics can be defined as a linear function of these frequencies. A flexible class of such linear summary statistics is explored analytically in this paper which include several well-known quantities, such as the number of segregating sizes and the mean number of nucleotide differences between two sequences. Some asymptotic variances and covariances are obtained while the analytical formulas for the variances and covariances of nine such linear summary statistics are derived, most of which are unknown to date. This study not only provides some theoretical foundations for exploring linear summary statistics, but also provides some newlinear summary statistics that may be utilized for analyzing sample polymorphism. Furthermore it is showed that a newly developed linear summary statistics has a smaller variance almost uniformly than Watterson’s estimator, and that a class of linear summary statistics given too heavy weights on mutations of smaller sizes result in asymptotically non-zero variance.
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影响因子：
1.4
作者：
Alimpiev, Egor;Rosenberg, Noah A.
通讯作者：
Rosenberg, Noah A.
影响因子：
1.9
作者：
Joyce, P
通讯作者：
Joyce, P
影响因子：
1.4
作者：
FU, YX
通讯作者：
FU, YX
影响因子：
3.3
作者：
Chen, Hua;Chen, Kun
通讯作者：
Chen, Kun
影响因子：
1.4
作者：
WATTERSON, GA
通讯作者：
WATTERSON, GA