Limit theorems for forward and backward processes of numbers of non-empty urns in infinite urn schemes
type: Item
instance of: scholarly article
title: Limit theorems for forward and backward processes of numbers of non-empty urns in infinite urn schemes
zbMATH Open document ID: 1543.60028
author: Mikhail Chebunin
author: Artyom Pavlovich Kovalevskii
publication date: 2024-08-14T00:00:00Z
Mathematics Subject Classification ID: 60F05
Mathematics Subject Classification ID: 62F03
Mathematics Subject Classification ID: 62F12
zbMATH DE Number: 7896803
zbMATH Keywords: Zipf's law
zbMATH Keywords: weak convergence
zbMATH Keywords: Gaussian process
zbMATH Keywords: statistical test
MaRDI profile type: Publication
cites work: Q5530160
cites work: Small counts in the infinite occupancy scheme
cites work: Concentration inequalities in the infinite urn scheme for occupancy counts and the missing mass, with applications
cites work: A statistical test for correspondence of texts to the Zipf-Mandelbrot law
cites work: Q5502072
cites work: Functional central limit theorem in an infinite urn scheme for distributions with superheavy tails
cites work: Functional central limit theorems for certain statistics in an infinite urn scheme
cites work: A statistical test for the Zipf's law by deviations from the Heaps' law
cites work: Asymptotically normal estimators for Zipf's law
cites work: Functional central limit theorems for occupancies and missing mass process in infinite urn models
cites work: Finite sample properties of the mean occupancy counts and probabilities
cites work: From infinite urn schemes to decompositions of self-similar Gaussian processes
cites work: From infinite urn schemes to self-similar stable processes
cites work: Central limit theorems for infinite urn models
cites work: A diagnostic for selecting the threshold in extreme value analysis
cites work: Notes on the occupancy problem with infinitely many boxes: general asymptotics and power laws
cites work: A simple general approach to inference about the tail of a distribution
cites work: Local limit theorems for finite and infinite urn models
cites work: Q5535489
cites work: Rare numbers
cites work: Divergence rates for the number of rare numbers
cites work: Bit flipping and time to recover
cites work: Q4427981
published in: Sibirskie Elektronnye Matematicheskie Izvestiya
DOI: 10.33048/SEMI.2023.20.055
description: scientific article; zbMATH DE number 7896803