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An Exact Sampling Formula for the Wright–Fisher Model and a Solution to a Conjecture About the Finite-Island Model

An Exact Sampling Formula for the Wright–Fisher Model and a Solution to a Conjecture About the Finite-Island Model

An exact sampling formula for a Wright-Fisher population of fixed size N under the infinitely many neutral alleles model is deduced. This extends the Ewens formula for the configuration of a random sample to the case where the sample is drawn from a population of small size, that is, without …