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Phylogenetic confid...
Phylogenetic confidence intervals for the optimal trait value
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- Bartoszek, Krzysztof, 1984- (författare)
- Uppsala universitet,Tillämpad matematik och statistik,Department of Mathematics, Uppsala University, Uppsala, Sweden
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- Sagitov, Serik, 1956 (författare)
- Gothenburg University,Göteborgs universitet,Institutionen för matematiska vetenskaper, matematisk statistik,Department of Mathematical Sciences, Mathematical Statistics,University of Gothenburg,Chalmers tekniska högskola,Chalmers University of Technology,Chalmers University of Technology and the Unversity of Gothenburg, Sweden
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(creator_code:org_t)
- 2016-03-30
- 2015
- Engelska.
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Ingår i: Journal of Applied Probability. - : Cambridge University Press (CUP). - 0021-9002 .- 1475-6072. ; 52:4, s. 1115-1132
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Abstract
Ämnesord
Stäng
- 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.
Ämnesord
- NATURVETENSKAP -- Matematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics (hsv//eng)
- NATURVETENSKAP -- Matematik -- Sannolikhetsteori och statistik (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Probability Theory and Statistics (hsv//eng)
- NATURVETENSKAP -- Biologi -- Evolutionsbiologi (hsv//swe)
- NATURAL SCIENCES -- Biological Sciences -- Evolutionary Biology (hsv//eng)
Nyckelord
- Central limit theorem
- conditionedYule process
- macroevolution
- martingales
- Ornstein-Uhlenbeck process
- phylogenetics
- phylogenetics
- Mathematical Statistics
- Statistics
Publikations- och innehållstyp
- ref (ämneskategori)
- art (ämneskategori)
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