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Main Authors: Bercu, Bernard, Bonnefont, Michel, Fredes, Luis, Richou, Adrien
Format: Preprint
Published: 2024
Subjects:
Online Access:https://arxiv.org/abs/2407.05708
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author Bercu, Bernard
Bonnefont, Michel
Fredes, Luis
Richou, Adrien
author_facet Bercu, Bernard
Bonnefont, Michel
Fredes, Luis
Richou, Adrien
contents The aim of this paper is to improve the large deviation principle for the number of descents in a random permutation by establishing a sharp large deviation principle of any order. We shall also prove a sharp large deviation principle of any order for the major index in a random permutation.
format Preprint
id arxiv_https___arxiv_org_abs_2407_05708
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Sharp Large Deviations for the Number of Descents and the Major Index in a Random Permutation
Bercu, Bernard
Bonnefont, Michel
Fredes, Luis
Richou, Adrien
Probability
Statistics Theory
The aim of this paper is to improve the large deviation principle for the number of descents in a random permutation by establishing a sharp large deviation principle of any order. We shall also prove a sharp large deviation principle of any order for the major index in a random permutation.
title Sharp Large Deviations for the Number of Descents and the Major Index in a Random Permutation
topic Probability
Statistics Theory
url https://arxiv.org/abs/2407.05708