Functional central limit theorems for occupancies and missing mass process in infinite urn models
Probability
2020-10-28 v2
Abstract
We study the infinite urn scheme when the balls are sequentially distributed over an infinite number of urns labelled 1,2,... so that the urn at every draw gets a ball with probability , . We prove functional central limit theorems for discrete time and the poissonised version for the urn occupancies process, for the odd-occupancy and for the missing mass processes extending the known non-functional central limit theorems.
Keywords
Cite
@article{arxiv.1906.10949,
title = {Functional central limit theorems for occupancies and missing mass process in infinite urn models},
author = {Mikhail Chebunin and Sergei Zuyev},
journal= {arXiv preprint arXiv:1906.10949},
year = {2020}
}