English

Functional central limit theorems for certain statistics in an infinite urn scheme

Probability 2016-06-28 v1

Abstract

We investigate a specific infinite urn scheme first considered by Karlin (1967). We prove functional central limit theorems for the total number of urns with at least k balls for different k.

Cite

@article{arxiv.1606.08044,
  title  = {Functional central limit theorems for certain statistics in an infinite urn scheme},
  author = {Mikhail Chebunin and Artyom Kovalevskii},
  journal= {arXiv preprint arXiv:1606.08044},
  year   = {2016}
}
R2 v1 2026-06-22T14:34:28.448Z