Exact and approximate limit behaviour of the Yule tree's cophenetic index
DOI10.1016/j.mbs.2018.05.005zbMath1405.92190arXiv1703.08954OpenAlexW2951758824WikidataQ88628381 ScholiaQ88628381MaRDI QIDQ1711952
Publication date: 18 January 2019
Published in: Mathematical Biosciences (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1703.08954
Applications of statistics to biology and medical sciences; meta analysis (62P10) Problems related to evolution (92D15) Random graphs (graph-theoretic aspects) (05C80) Taxonomy, cladistics, statistics in mathematical biology (92B10) Strong limit theorems (60F15) Applications of branching processes (60J85) Markov processes: hypothesis testing (62M02) Computational methods for problems pertaining to biology (92-08)
Related Items (2)
Uses Software
Cites Work
- Unnamed Item
- A new balance index for phylogenetic trees
- Distribution of branch lengths and phylogenetic diversity under homogeneous speciation models
- A consistent estimator of the evolutionary rate
- On the tails of the limiting Quicksort distribution
- The mean, variance and limiting distribution of two statistics sensitive to phylogenetic tree balance
- A fixed point theorem for distributions
- On the limiting behavior of randomly weighted partial sums
- Distributions of cherries for two models of trees
- Perfect simulation from the quicksort limit distribution
- On incomplete sampling under birth-death models and connections to the sampling-based coalescent
- Statistical methods in bioinformatics. An introduction.
- The conditioned reconstructed process
- The contraction method for recursive algorithms
- Quantifying the effects of anagenetic and cladogenetic evolution
- Exact formulas for the variance of several balance indices under the Yule model
- On statistical tests of phylogenetic tree imbalance: The Sackin and other indices revisited
- Interspecies correlation for neutrally evolving traits
- Approximating the limiting Quicksort distribution
- Phylogenetic confidence intervals for the optimal trait value
- A limiting distribution for quicksort
- A limit theorem for “quicksort”
- Properties of phylogenetic trees generated by Yule-type speciation models
This page was built for publication: Exact and approximate limit behaviour of the Yule tree's cophenetic index