Maples, Kenneth; Nikeghbali, Ashkan; Zeindler, Dirk On the number of cycles in a random permutation. (English) Zbl 1243.60010 Electron. Commun. Probab. 17, Paper No. 20, 13 p. (2012). Summary: 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. Cited in 6 Documents MSC: 60C05 Combinatorial probability 60F05 Central limit and other weak theorems 60F10 Large deviations Keywords:random permutation; total number of cycles; generalized ewens measure; central limit theorem; large deviation PDF BibTeX XML Cite \textit{K. Maples} et al., Electron. Commun. Probab. 17, Paper No. 20, 13 p. (2012; Zbl 1243.60010) Full Text: DOI arXiv OpenURL