DOAJ Open Access 2012

Asymptotic behavior of some statistics in Ewens random permutations

Valentin Feray

Abstrak

The purpose of this article is to present a general method to find limiting laws for some renormalized statistics on random permutations. The model considered here is Ewens sampling model, which generalizes uniform random permutations. We describe the asymptotic behavior of a large family of statistics, including the number of occurrences of any given 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.

Topik & Kata Kunci

Penulis (1)

V

Valentin Feray

Format Sitasi

Feray, V. (2012). Asymptotic behavior of some statistics in Ewens random permutations. https://doi.org/10.46298/dmtcs.2982

Akses Cepat

Lihat di Sumber doi.org/10.46298/dmtcs.2982
Informasi Jurnal
Tahun Terbit
2012
Sumber Database
DOAJ
DOI
10.46298/dmtcs.2982
Akses
Open Access ✓