进化枝图上的概率：阿尔法模型介绍
Probabilities on cladograms: introduction to the alpha model
摘要：
阿尔法模型，一个参数化的家庭的概率分支图（根二进制叶标记树），介绍。该模型是马尔可夫自相似的，删除稳定的（采样一致），并通过Yule，Uniform和Comb模型。在α模型下，给出了计算任意分支图或树形的概率的显式公式。Sackin和Colless指数被证明是$O(n^{1+α})$，渐近协方差等于1。因此，具有$n$叶的随机叶的预期深度是$O(n^α)$。随机α树上的樱桃数是渐近正态的均值和方差已知。最后的形状公布的mixgenies检查，使用树库。
英文摘要：
The alpha model, a parametrized family of probabilities on cladograms (rooted binary leaf labeled trees), is introduced. This model is Markovian self-similar, deletion-stable (sampling consistent), and passes through the Yule, Uniform and Comb models. An explicit formula is given to calculate the probability of any cladogram or tree shape under the alpha model. Sackin's and Colless' index are shown to be $O(n^{1+α})$ with asymptotic covariance equal to 1. Thus the expected depth of a random leaf with $n$ leaves is $O(n^α)$. The number of cherries on a random alpha tree is shown to be asymptotically normal with known mean and variance. Finally the shape of published phylogenies is examined, using trees from Treebase.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
