A central limit theorem for the number of descents and some urn models - Archive ouverte HAL
Journal Articles Markov Processes And Related Fields Year : 2021

A central limit theorem for the number of descents and some urn models

Olivier Garet

Abstract

The purpose of this work is to establish a central limit theorem that can be applied to a particular form of Markov chains, including the number of descents in a random permutation of $\mathfrak{S}_n$, two-type generalized Pólya urns, and some other urn models.
Fichier principal
Vignette du fichier
euler-eng-final.pdf (598.29 Ko) Télécharger le fichier
Origin Files produced by the author(s)

Dates and versions

hal-02149176 , version 1 (06-06-2019)
hal-02149176 , version 2 (25-02-2020)
hal-02149176 , version 3 (03-06-2021)

Identifiers

Cite

Olivier Garet. A central limit theorem for the number of descents and some urn models. Markov Processes And Related Fields, In press, 27 (5), pp.789-801. ⟨10.48550/arXiv.1906.02980⟩. ⟨hal-02149176v3⟩
120 View
117 Download

Altmetric

Share

More