منابع مشابه
Exact simulation of the Wright-Fisher diffusion
The Wright-Fisher family of diffusion processes is a class of evolutionary models widely used in population genetics, with applications also in finance and Bayesian statistics. Simulation and inference from these diffusions is therefore of widespread interest. However, simulating a Wright-Fisher diffusion is difficult because there is no known closed-form formula for its transition function. In...
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on the interval [0, 1], where a(x) > 0 on the interior and vanishes simply at the endpoints, and b(x)∂x is a vector field which is inward-pointing at both ends. We consider various aspects of this problem, motivated by their applications in biology, including a comparison of the natural boundary conditions from the probabilistic and analytic points of view, a sharp regularity theory for the “ze...
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Rates of molecular evolution along phylogenetic trees are influenced by mutation, selection and genetic drift. Provided that the branches of the tree correspond to lineages belonging to genetically isolated populations (e.g., multi-species phylogenies), the interplay between these three processes can be described by analyzing the process of substitutions to the common ancestor of each populatio...
متن کاملMarkov Chain Monte Carlo Simulation of the Wright-Fisher Diffusion
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متن کاملWright-Fisher construction of the two-parameter Poisson-Dirichlet diffusion
The two-parameter Poisson–Dirichlet diffusion, introduced in 2009 by Petrov, extends the infinitely-many-neutral-alleles diffusion model, related to Kingman’s one-parameter Poisson–Dirichlet distribution and to certain Fleming–Viot processes. The additional parameter has been shown to regulate the clustering structure of the population, but is yet to be fully understood in the way it governs th...
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ژورنال
عنوان ژورنال: ESAIM: Probability and Statistics
سال: 2009
ISSN: 1292-8100,1262-3318
DOI: 10.1051/ps:2008006