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Asymptotic behavior of some statistics in Ewens random permutations


 
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1. Title Title of document Asymptotic behavior of some statistics in Ewens random permutations
 
2. Creator Author's name, affiliation, country Valentin Féray; CNRS & Université de Bordeaux; France
 
3. Subject Discipline(s)
 
3. Subject Keyword(s) random permutations, cumulants, dashed patterns.
 
3. Subject Subject classification 05A16, 05A05
 
4. Description Abstract The purpose of this article is to present a general method to find 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.
 
5. Publisher Organizing agency, location
 
6. Contributor Sponsor(s) ANR
 
7. Date (YYYY-MM-DD) 2013-08-13
 
8. Type Status & genre Peer-reviewed Article
 
8. Type Type
 
9. Format File format PDF
 
10. Identifier Uniform Resource Identifier http://ejp.ejpecp.org/article/view/2496
 
10. Identifier Digital Object Identifier 10.1214/EJP.v18-2496
 
11. Source Journal/conference title; vol., no. (year) Electronic Journal of Probability; Vol 18
 
12. Language English=en en
 
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