Computer analytics in problems with a random partition of the interval
✍ Scribed by A. L. Reznik; V. M. Efimov; A. V. Torgov; A. A. Solov’ev
- Book ID
- 110209819
- Publisher
- SP MAIK Nauka/Interperiodica
- Year
- 2011
- Tongue
- English
- Weight
- 168 KB
- Volume
- 21
- Category
- Article
- ISSN
- 1054-6618
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Let be a partition of an integer n chosen uniformly at random among all Ž . such partitions. Let s be a part size chosen uniformly at random from the set of all part Ž . sizes that occur in . We prove that, for every fixed m G 1, the probability that s has Ž Ž .. multiplicity m in approaches 1r m mq