When can one detect overdominant selection in the infinite-alleles model?

DOI10.1214/aoap/1042765666zbMath1011.62115OpenAlexW2143762051MaRDI QIDQ1872345

Stephen M. Krone, Thomas G. Kurtz, Paul Joyce

Publication date: 6 May 2003

Published in: The Annals of Applied Probability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1214/aoap/1042765666

zbMATH Keywords

likelihood ratioEwens sampling formulamutation ratehomozygosityoverdominant selectionweak limitsPoisson-Dirichletinfinite-alleles modelnormal limits

Mathematics Subject Classification ID

Applications of statistics to biology and medical sciences; meta analysis (62P10) Martingales with discrete parameter (60G42) Problems related to evolution (92D15) Strong limit theorems (60F15) Asymptotic properties of parametric tests (62F05)

Related Items

Asymptotic Behaviour of Poisson-Dirichlet Distribution and Random Energy Model ⋮ Ewens sampling formulae with and without selection ⋮ A Central Limit Theorem Associated with the Transformed Two-Parameter Poisson–Dirichlet Distribution ⋮ The two-parameter Poisson-Dirichlet point process ⋮ Properties of the Dirichlet type 3 distribution ⋮ Asymptotic behaviour of an infinitely-many-alleles diffusion with symmetric overdominance ⋮ Large deviations associated with Poisson-Dirichlet distribution and Ewens sampling formula ⋮ Moderate deviations for Poisson-Dirichlet distribution ⋮ Maximum likelihood estimates under \(k\)-allele models with selection can be numerically unstable ⋮ On the Inverted Dirichlet Distribution ⋮ Paul Joyce and the infinite alleles model ⋮ Inference from the stationary distribution of allele frequencies in a family of Wright-Fisher models with two levels of genetic variability ⋮ Asymptotic behavior of the Poisson-Dirichlet distribution for large mutation rate

Cites Work

• The population structure associated with the Ewens sampling formula
• On the distribution of allele frequencies in a diffusion model
• The role of population size in molecular evolution
• Convergence to Fleming-Viot processes in the weak atomic topology
• Gaussian limits associated with the Poisson-Dirichlet distribution and the Ewens sampling formula