Moderate deviations for the number of descents in a random permutation

Hui Jiang and Jing Wang

Statistics & Probability Letters, 2025, vol. 219, issue C

Abstract: The number of descents in a random permutation has close connections with generalized Pólya urn and random trees. Via the Laplace functional calculations and asymptotic analysis techniques, we prove that the number of descents satisfies the moderate deviations and Cramér type moderate deviations. Then, using the martingale difference representation, we establish the functional moderate deviations in D([0,1],R) equipped with the uniform topology.

Keywords: Martingale differences; Moderate deviations; Random permutation (search for similar items in EconPapers)
Date: 2025
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DOI: 10.1016/j.spl.2024.110320

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