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Sampling parts of random integer partitions: a probabilistic and asymptotic analysis
2015
Pure Mathematics and Applications
Let λ be a partition of the positive integer n, selected uniformly at random among all such partitions. Corteel et al. (1999) proposed three different procedures of sampling parts of λ at random. They obtained limiting distributions of the multiplicity μn = μn(λ) of the randomly-chosen part as n → ∞. The asymptotic behavior of the part size σn = σn(λ), under these sampling conditions, was found by Fristedt (1993) and Mutafchiev (2014). All these results motivated us to study the relationship
doi:10.1515/puma-2015-0007
fatcat:g2nw6tdqyrboljt2hzuwdltkzq