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Göteborgs universitets publikationer

Phylogenetic confidence intervals for the optimal trait value

Författare och institution:
K. Bartoszek (-); Serik Sagitov (Institutionen för matematiska vetenskaper, Chalmers/GU)
Publicerad i:
Journal of Applied Probability, 52 ( 4 ) s. 1115-1132
ISSN:
0021-9002
Publikationstyp:
Artikel, refereegranskad vetenskaplig
Publiceringsår:
2015
Språk:
engelska
Fulltextlänk:
Sammanfattning (abstract):
We consider a stochastic evolutionary model for a phenotype developing amongst n related species with unknown phylogeny. The unknown tree is modelled by a Yule process conditioned on n contemporary nodes. The trait value is assumed to evolve along lineages as an Ornstein-Uhlenbeck process. As a result, the trait values of the n species form a sample with dependent observations. We establish three limit theorems for the sample mean corresponding to three domains for the adaptation rate. In the case of fast adaptation, we show that for large n the normalized sample mean is approximately normally distributed. Using these limit theorems, we develop novel confidence interval formulae for the optimal trait value.
Ämne (baseras på Högskoleverkets indelning av forskningsämnen):
NATURVETENSKAP ->
Matematik
Nyckelord:
Central limit theorem, conditionedYule process, macroevolution, martingales, Ornstein-Uhlenbeck process, phylogenetics
Projekt:
Stochastic models of gene and species trees (VR/2010-5623) Mer information
Postens nummer:
232141
Posten skapad:
2016-02-17 14:48
Posten ändrad:
2016-05-30 08:46

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