Functional central limit theorem in an infinite urn scheme for distributions with superheavy tails

DOI10.17377/semi.2017.14.109zbMath1391.60058MaRDI QIDQ1750777

Mikhaĭl Georgievich Chebunin

Publication date: 23 May 2018

Published in: Sibirskie Èlektronnye Matematicheskie Izvestiya (Search for Journal in Brave)

zbMATH Keywords

functional central limit theoremrelative compactnessslow variationinfinite urn scheme

Mathematics Subject Classification ID

Functional limit theorems; invariance principles (60F17)

Related Items (2)

A statistical test for the Zipf's law by deviations from the Heaps' law ⋮ Functional central limit theorems for occupancies and missing mass process in infinite urn models

Cites Work

• From infinite urn schemes to decompositions of self-similar Gaussian processes
• Functional central limit theorems for certain statistics in an infinite urn scheme
• Divergence rates for the number of rare numbers
• Notes on the occupancy problem with infinitely many boxes: general asymptotics and power laws
• Small counts in the infinite occupancy scheme
• Rare numbers
• Central limit theorems for infinite urn models
• Probability theory. Edited by K. A. Borovkov. Transl. from the Russian by O. Borovkova and P. S. Ruzankin
• Local limit theorems for finite and infinite urn models
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