Random partitions of a set with given number of blocks
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| 024 | 7 | 0 | |a 10.1515/156939203322385919 |2 doi |
| 035 | |a (NATIONALLICENCE)gruyter-10.1515/156939203322385919 | ||
| 100 | 1 | |a Timashov |D A. N. | |
| 245 | 1 | 0 | |a Random partitions of a set with given number of blocks |h [Elektronische Daten] |c [A. N. Timashov] |
| 520 | 3 | |a We consider the class of all partitions of a set of n elements into N blocks. Provided that the uniform distribution is given on this class and n, N → ∞, we describe the asymptotic behaviour of the mathematical expectation and variance and prove Poisson and local normal limit theorems for the random variable equal to the number of blocks of a given size in a partition chosen at random. We find asymptotic expansions of the number of partitions of a set of n elements into N blocks with exactly k = k(n, N) blocks of a given size. | |
| 540 | |a Copyright 2003, Walter de Gruyter | ||
| 773 | 0 | |t Discrete Mathematics and Applications |d Walter de Gruyter |g 13/3(2003-07-01), 307-317 |x 0924-9265 |q 13:3<307 |1 2003 |2 13 |o dma | |
| 856 | 4 | 0 | |u https://doi.org/10.1515/156939203322385919 |q text/html |z Onlinezugriff via DOI |
| 908 | |D 1 |a research article |2 jats | ||
| 950 | |B NATIONALLICENCE |P 856 |E 40 |u https://doi.org/10.1515/156939203322385919 |q text/html |z Onlinezugriff via DOI | ||
| 950 | |B NATIONALLICENCE |P 100 |E 1- |a Timashov |D A. N. | ||
| 950 | |B NATIONALLICENCE |P 773 |E 0- |t Discrete Mathematics and Applications |d Walter de Gruyter |g 13/3(2003-07-01), 307-317 |x 0924-9265 |q 13:3<307 |1 2003 |2 13 |o dma | ||
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| 949 | |B NATIONALLICENCE |F NATIONALLICENCE |b NL-gruyter | ||