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Analysis of a class of Cannibal urns


 
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1. Title Title of document Analysis of a class of Cannibal urns
 
2. Creator Author's name, affiliation, country Markus Kuba; Technische Universität Wien
 
3. Subject Discipline(s)
 
3. Subject Keyword(s) Cannibal Urn models, Normal distribution, Poisson distribution
 
3. Subject Subject classification 60F05,05C05
 
4. Description Abstract In this note we study a class of $2\times 2$ Polya-Eggenberger urn models, which serves as a stochastic model in biology describing cannibalistic behavior of populations. A special case was studied before by Pittel using asymptotic approximation techniques, and more recently by Hwang et al. using generating functions. We obtain limit laws for the stated class of so-called cannibal urns by using Pittel's method, and also different techniques.
 
5. Publisher Organizing agency, location
 
6. Contributor Sponsor(s) Austrian Science Foundation FWF, grant S9608-N13
 
7. Date (YYYY-MM-DD) 2011-08-03
 
8. Type Status & genre Peer-reviewed Article
 
8. Type Type
 
9. Format File format PDF
 
10. Identifier Uniform Resource Identifier http://ecp.ejpecp.org/article/view/1669
 
10. Identifier Digital Object Identifier 10.1214/ECP.v16-1669
 
11. Source Journal/conference title; vol., no. (year) Electronic Communications in Probability; Vol 16
 
12. Language English=en
 
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