Files and links (1)
SubmittedOpen Access (License Unspecified), Open
Journal article
Asymptotics of the overflow in urn models
Journal of applied probability, v 59(3), pp 797-824
Sep 2022
Abstract
Consider a finite or infinite collection of urns, each with capacity r, and balls randomly distributed among them. An overflow is the number of balls that are assigned to urns that already contain r balls. When
$r=1$
, this is the number of balls landing in non-empty urns, which has been studied in the past. Our aim here is to use martingale methods to study the asymptotics of the overflow in the general situation, i.e. for arbitrary r. In particular, we provide sufficient conditions for both Poissonian and normal asymptotics.
Metrics
Details
- Title
- Asymptotics of the overflow in urn models
- Creators
- Raul Gouet - Universidad de ChilePaweł Hitczenko - Drexel UniversityJacek Wesołowski - Warsaw University of Technology
- Publication Details
- Journal of applied probability, v 59(3), pp 797-824
- Publisher
- Cambridge University Press
- Number of pages
- 28
- Resource Type
- Journal article
- Language
- English
- Academic Unit
- Mathematics
- Web of Science ID
- WOS:000822952800001
- Scopus ID
- 2-s2.0-85139952565
- Other Identifier
- 991019167959404721
InCites Highlights
Data related to this publication, from InCites Benchmarking & Analytics tool:
- Collaboration types
- Domestic collaboration
- International collaboration
- Web of Science research areas
- Statistics & Probability