Publication: Simulating the component counts of combinatorial structures
Simulating the component counts of combinatorial structures
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Arratia, R., Barbour, A. D., Ewens, W. J., & Tavaré, S. (2018). Simulating the component counts of combinatorial structures. Theoretical Population Biology, 122, 5–11. https://doi.org/10.1016/j.tpb.2018.02.002
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This article describes and compares methods for simulating the component counts of random logarithmic combinatorial structures such as permutations and mappings. We exploit the Feller coupling for simulating permutations to provide a very fast method for simulating logarithmic assemblies more generally. For logarithmic multisets and selections, this approach is replaced by an acceptance/rejection method based on a particular conditioning relationship that represents the distribution of the combinatorial structure as that of independen
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Arratia, R., Barbour, A. D., Ewens, W. J., & Tavaré, S. (2018). Simulating the component counts of combinatorial structures. Theoretical Population Biology, 122, 5–11. https://doi.org/10.1016/j.tpb.2018.02.002