# Functional Central Limit Theorems for Occupancies and Missing Mass Process in Infinite Urn Models

Mikhail Chebunin, Sergei Zuyev

Результат исследования: Научные публикации в периодических изданияхстатьярецензирование

## Аннотация

We study the infinite urn scheme when the balls are sequentially distributed over an infinite number of urns labeled 1,2,.. so that the urn j at every draw gets a ball with probability pj, where ∑ jpj= 1. We prove functional central limit theorems for discrete time and the Poissonized version for the urn occupancies process, for the odd occupancy and for the missing mass processes extending the known non-functional central limit theorems.

Язык оригинала английский 19 Journal of Theoretical Probability https://doi.org/10.1007/s10959-020-01053-6 Опубликовано - 23 ноя 2020