Open Access
2013 Asymptotic behavior of some statistics in Ewens random permutations
Valentin Féray
Author Affiliations +
Electron. J. Probab. 18: 1-32 (2013). DOI: 10.1214/EJP.v18-2496


The purpose of this article is to present a general method to fin limiting laws for some renormalized statistics on random permutations. The model of random permutations considered here is Ewens sampling model, which generalizes uniform random permutations. Under this model, we describe the asymptotic behavior of some statistics, including the number of occurrences of any dashed pattern. Our approach is based on the method of moments and relies on the following intuition: two events involving the images of different integers are almost independent.


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Valentin Féray. "Asymptotic behavior of some statistics in Ewens random permutations." Electron. J. Probab. 18 1 - 32, 2013.


Accepted: 13 August 2013; Published: 2013
First available in Project Euclid: 4 June 2016

zbMATH: 1314.05016
MathSciNet: MR3091722
Digital Object Identifier: 10.1214/EJP.v18-2496

Primary: 05A16
Secondary: 05A05

Keywords: Cumulants , dashed patterns , Random permutations

Vol.18 • 2013
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