منابع مشابه
On the noise-compensated Yule-Walker equations
Recently a method of estimating the parameters of an AR(p) random process based on measurements corrupted by additive white noise was described. The method involves solving a matrix pencil, called the Noise-Compensated Yule-Walker (NCYW) equations, for the AR parameters and the variance of the measurement noise. In this correspondence we give a necessary and sufficient condition for there to ex...
متن کاملStochastic properties of generalised Yule models, with biodiversity applications.
The Yule model is a widely used speciation model in evolutionary biology. Despite its simplicity many aspects of the Yule model have not been explored mathematically. In this paper, we formalise two analytic approaches for obtaining probability densities of individual branch lengths of phylogenetic trees generated by the Yule model. These methods are flexible and permit various aspects of the t...
متن کاملProperties of phylogenetic trees generated by Yule-type speciation models.
We investigate some discrete structural properties of evolutionary trees generated under simple null models of speciation, such as the Yule model. These models have been used as priors in Bayesian approaches to phylogenetic analysis, and also to test hypotheses concerning the speciation process. In this paper we describe new results for three properties of trees generated under such models. Fir...
متن کاملOn the distribution of interspecies correlation for Markov models of character evolution on Yule trees.
Efforts to reconstruct phylogenetic trees and understand evolutionary processes depend fundamentally on stochastic models of speciation and mutation. The simplest continuous-time model for speciation in phylogenetic trees is the Yule process, in which new species are "born" from existing lineages at a constant rate. Recent work has illuminated some of the structural properties of Yule trees, bu...
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ژورنال
عنوان ژورنال: Modern Stochastics: Theory and Applications
سال: 2018
ISSN: 2351-6046,2351-6054
DOI: 10.15559/18-vmsta125