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An occupancy problem with group drawings of different sizes. (English) Zbl 1008.60018

The classical occupancy problem with group drawings of different sizes is considered. The exact distribution of the number of balls occurring in all sampled groups is derived. A normal and a Poisson limit theorem for this quantity are proved, using the functional limit theorem for exchangeable random variables and the method of moments, respectively.

MSC:

60C05 Combinatorial probability
62F05 Asymptotic properties of parametric tests

References:

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