uu.seUppsala universitets publikasjoner
Endre søk
RefereraExporteraLink to record
Permanent link

Direct link
Referera
Referensformat
  • apa
  • ieee
  • modern-language-association
  • vancouver
  • Annet format
Fler format
Språk
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Annet språk
Fler språk
Utmatningsformat
  • html
  • text
  • asciidoc
  • rtf
Phylogenetic confidence intervals for the optimal trait value
Uppsala universitet, Teknisk-naturvetenskapliga vetenskapsområdet, Matematisk-datavetenskapliga sektionen, Matematiska institutionen, Tillämpad matematik och statistik.
Chalmers University of Technology and the Unversity of Gothenburg.
2015 (engelsk)Inngår i: Journal of Applied Probability, ISSN 0021-9002, E-ISSN 1475-6072, Vol. 52, nr 4, s. 1115-1132Artikkel i tidsskrift (Fagfellevurdert) Published
Abstract [en]

We consider a stochastic evolutionary model for a phenotype developing amongst n related species with unknown phylogeny. The unknown tree ismodelled 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 samplemean corresponding to three domains for the adaptation rate. In the case of fast adaptation, we show that for large n the normalized sample mean isapproximately normally distributed. Using these limit theorems, we develop novel confidence interval formulae for the optimal trait value.

sted, utgiver, år, opplag, sider
2015. Vol. 52, nr 4, s. 1115-1132
Emneord [en]
Central limit theorem; conditioned Yule process; macroevolution; martingales; Ornstein–Uhlenbeck process; phylogenetics
HSV kategori
Forskningsprogram
Matematisk statistik; Statistik
Identifikatorer
URN: urn:nbn:se:uu:diva-241872DOI: 10.1239/jap/1450802756ISI: 000368467600014OAI: oai:DiVA.org:uu-241872DiVA, id: diva2:781828
Forskningsfinansiär
Swedish Research Council, 621-2010-5623The Foundation for Baltic and East European StudiesKnut and Alice Wallenberg FoundationThe Royal Swedish Academy of SciencesTilgjengelig fra: 2015-01-19 Laget: 2015-01-19 Sist oppdatert: 2017-12-05bibliografisk kontrollert

Open Access i DiVA

Fulltekst mangler i DiVA

Andre lenker

Forlagets fulltekst

Personposter BETA

Bartoszek, Krzysztof

Søk i DiVA

Av forfatter/redaktør
Bartoszek, Krzysztof
Av organisasjonen
I samme tidsskrift
Journal of Applied Probability

Søk utenfor DiVA

GoogleGoogle Scholar

doi
urn-nbn

Altmetric

doi
urn-nbn
Totalt: 942 treff
RefereraExporteraLink to record
Permanent link

Direct link
Referera
Referensformat
  • apa
  • ieee
  • modern-language-association
  • vancouver
  • Annet format
Fler format
Språk
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Annet språk
Fler språk
Utmatningsformat
  • html
  • text
  • asciidoc
  • rtf