Abstract
We show that the number of cycles in a random permutation chosen according to generalized Ewens measure is normally distributed and compute asymptotic estimates for the mean and variance.
Maples, Kenneth; Nikeghbali, Ashkan; Zeindler, Dirk (2012). On the number of cycles in a random permutation. Electronic Communications in Probability, 17:20.
Abstract
We show that the number of cycles in a random permutation chosen according to generalized Ewens measure is normally distributed and compute asymptotic estimates for the mean and variance.
Statistics
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12 citations in Web of Science®
11 citations in Scopus®
10 citations in Microsoft Academic
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11 citations in Scopus®
10 citations in Microsoft Academic
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Additional indexing
| Item Type: | Journal Article, refereed, original work |
|---|---|
| Communities & Collections: | 07 Faculty of Science > Institute of Mathematics |
| Dewey Decimal Classification: | 510 Mathematics |
| Scopus Subject Areas: | Physical Sciences > Statistics and Probability
Social Sciences & Humanities > Statistics, Probability and Uncertainty |
| Language: | English |
| Date: | 27 May 2012 |
| Deposited On: | 25 Jan 2013 09:30 |
| Last Modified: | 30 Jul 2020 07:04 |
| Publisher: | Institute of Mathematical Statistics |
| ISSN: | 1083-589X |
| OA Status: | Hybrid |
| Publisher DOI: | https://doi.org/10.1214/ECP.v17-1934 |
Maples, Kenneth