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Probabilities of unranked and ranked anomaly zones under birth-death models

Anastasiia Kim, Noah Rosenberg, and James Degnan
Molecular Biology and Evolution, 2020
View     ArXiv    

In this paper, we study how the parameters of a species tree simulated under a constant rate birth-death process can affect the probability that the species tree lies in the anomaly zone. We derive the lower bound of the probability of the species tree being in an unranked anomaly zone with n leaves for large speciation rate $\lambda$, and we show that this lower bound approaches 1 as n $\rightarrow \infty$ and $\lambda \rightarrow \infty$.

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Elements of Mathematical Statistics and Probability Theory (Spring 2020)

Stat 345, UNM, Department of Mathematics and Statistics, 2020

Class Time (DSH 225): MWF 9 - 9.50 am (Zoom meeting id on learn)
Office Hours (SMLC 319): F 3.30 pm Anastasiia (Zoom id on learn)
Discussion/Tutoring (DSH 326): W 2.30 pm Hasan, F 2 pm Jared (Zoom ids on learn)
Syllabus    
Piazza link: piazza.com/unm/spring2020/stat345
Recorded Kaltura class videos, Zoom meetings ids, HWs submission : UNM Learn