Abstract
Under very mild conditions, we prove that the number of components in a decomposable logarithmic combinatorial structure has a distribution which is close to Poisson in total variation. The conditions are satisfied for all assemblies, multisets and selections in the logarithmic class.The error in the Poisson approximation is shown under marginally more restrictive conditions to be of exact order
Citation
Richard Arratia. A. D. Barbour. Simon Tavaré. "The number of components in a logarithmic combinatorial structure." Ann. Appl. Probab. 10 (2) 331 - 361, May 2000. https://doi.org/10.1214/aoap/1019487347
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