The time back to the most recent common ancestor in exchangeable population models
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Publication:4464166
DOI10.1239/aap/1077134465zbMath1042.60054OpenAlexW2087498833MaRDI QIDQ4464166
Publication date: 27 May 2004
Published in: Advances in Applied Probability (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1239/aap/1077134465
Population dynamics (general) (92D25) Applications of Brownian motions and diffusion theory (population genetics, absorption problems, etc.) (60J70)
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The probability of fixation of a single mutant in an exchangeable selection model ⋮ Stein's method for the Poisson-Dirichlet distribution and the Ewens sampling formula, with applications to Wright-Fisher models ⋮ On the moments of the absorption time of Kingman's coalescent ⋮ Solving the Fisher-Wright and coalescence problems with a discrete Markov chain analysis ⋮ Recurrence Equations for the Probability Distribution of Sample Configurations in Exact Population Genetics Models ⋮ Central limit theorem for the size of the range of a renewal process ⋮ Exact coalescent for the Wright-Fisher model ⋮ Expected coalescence time for a nonuniform allocation process ⋮ Path storage in the particle filter ⋮ Dirichlet approximation of equilibrium distributions in Cannings models with mutation ⋮ The Convergence to Equilibrium of Neutral Genetic Models ⋮ Galton-Watson trees with first ancestor interaction
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