邻体依赖替代过程的系统发育距离
Phylogenetic distances for neighbour dependent substitution processes
摘要：
我们考虑模型的核苷酸取代过程中，在一个给定的网站上的取代率取决于其邻居的状态。对于广泛的一类这样的不可逆模型，我们展示了如何计算一致的，数学上精确的，估计对齐序列之间经过的时间，祖先序列和本序列，也为两个本序列。在这两种情况下，我们提供渐近置信区间，有效的核苷酸序列的有限长度。在最简单的非平凡情况下，具有CpG影响的Jukes-Cantor模型，我们计算估计量及其置信区间的显式公式。
英文摘要：
We consider models of nucleotidic substitution processes where the rate of substitution at a given site depends on the state of its neighbours. For a wide class of such nonreversible models, we show how to compute consistent, mathematically exact, estimators of the time elapsed between aligned sequences, for an ancestral sequence and a present one, and also for two present sequences. In both cases, we provide asymptotic confidence intervals, valid for nucleotidic sequences of finite length. We compute explicit formulas for the estimators and for their confidence intervals in the simplest nontrivial case, the Jukes-Cantor model with CpG influence.
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