Sharp Large Deviations for the Number of Descents and the Major Index in a Random Permutation
Probability
2024-07-09 v1 Statistics Theory
Statistics Theory
Abstract
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.
Keywords
Cite
@article{arxiv.2407.05708,
title = {Sharp Large Deviations for the Number of Descents and the Major Index in a Random Permutation},
author = {Bernard Bercu and Michel Bonnefont and Luis Fredes and Adrien Richou},
journal= {arXiv preprint arXiv:2407.05708},
year = {2024}
}