Electronic Communications in Probability
- Electron. Commun. Probab.
- Volume 16 (2011), paper no. 51, 583-599.
Analysis of a class of Cannibal urns
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.
Electron. Commun. Probab., Volume 16 (2011), paper no. 51, 583-599.
Accepted: 3 August 2011
First available in Project Euclid: 7 June 2016
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Kuba, Markus. Analysis of a class of Cannibal urns. Electron. Commun. Probab. 16 (2011), paper no. 51, 583--599. doi:10.1214/ECP.v16-1669. https://projecteuclid.org/euclid.ecp/1465262007