Sharp large deviations and concentration inequalities for the number of descents in a random permutation
Language
en
Article de revue
This item was published in
Journal of Applied Probability. 2024-01-05p. 1-24
Cambridge University press
English Abstract
The goal of this paper is to go further in the analysis of the behavior of the number of descents in a random permutation. Via two different approaches relying on a suitable martingale decomposition or on the Irwin-Hall ...Read more >
The goal of this paper is to go further in the analysis of the behavior of the number of descents in a random permutation. Via two different approaches relying on a suitable martingale decomposition or on the Irwin-Hall distribution, we prove that the number of descents satisfies a sharp large deviation principle. A very precise concentration inequality involving the rate function in the large deviation principle is also provided.Read less <
English Keywords
Large deviations
concentration inequalities
random permutations
Origin
Hal imported