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On the number of cycles in a random permutation

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.

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:08 Nov 2024 02:38
Publisher:Institute of Mathematical Statistics
ISSN:1083-589X
OA Status:Gold
Publisher DOI:https://doi.org/10.1214/ECP.v17-1934
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