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| Hauptverfasser: | , , , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| Schlagworte: | |
| Online-Zugang: | https://arxiv.org/abs/2407.09102 |
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| _version_ | 1866914867520208896 |
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| author | Chen, Peng Xiong, Jie Xu, Lihu Zheng, Jiayu |
| author_facet | Chen, Peng Xiong, Jie Xu, Lihu Zheng, Jiayu |
| contents | 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 and the reciprocal of the population size. Our result improves the error bound in the seminal work [PNAS,1977], where only the special case $r=2$ was studied. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_09102 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Quantitative diffusion approximation for the Neutral $r$-Alleles Wright-Fisher Model with Mutations Chen, Peng Xiong, Jie Xu, Lihu Zheng, Jiayu Probability 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 and the reciprocal of the population size. Our result improves the error bound in the seminal work [PNAS,1977], where only the special case $r=2$ was studied. |
| title | Quantitative diffusion approximation for the Neutral $r$-Alleles Wright-Fisher Model with Mutations |
| topic | Probability |
| url | https://arxiv.org/abs/2407.09102 |