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Quantitative diffusion approximation for the Neutral $r$-Alleles Wright-Fisher Model with Mutations

Quantitative diffusion approximation for the Neutral $r$-Alleles Wright-Fisher Model with Mutations

We apply a Lindeberg principle under the Markov process setting to approximate the Wright-Fisher model with neutral $r$-alleles using a diffusion process, deriving an error rate based on a function class distance involving fourth-order bounded differentiable functions. This error rate consists of a linear combination of the maximum mutation rate …