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math.PR2019
Functional central limit theorems for occupancies and missing mass process in infinite urn models
Mikhail Chebunin, Sergei Zuyev
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 pro…
math.PR2016
Functional central limit theorems for certain statistics in an infinite urn scheme
Mikhail Chebunin, Artyom Kovalevskii
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 d…