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2011 Analysis of a class of Cannibal urns
Markus Kuba
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Electron. Commun. Probab. 16: 583-599 (2011). DOI: 10.1214/ECP.v16-1669

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.

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Markus Kuba. "Analysis of a class of Cannibal urns." Electron. Commun. Probab. 16 583 - 599, 2011. https://doi.org/10.1214/ECP.v16-1669

Information

Accepted: 3 August 2011; Published: 2011
First available in Project Euclid: 7 June 2016

zbMATH: 1245.60029
MathSciNet: MR2846652
Digital Object Identifier: 10.1214/ECP.v16-1669

Subjects:
Primary: 60F05
Secondary: 05C05

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