## Electronic Communications in Probability

### Analysis of a class of Cannibal urns

Markus Kuba

#### 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.

#### Article information

Source
Electron. Commun. Probab., Volume 16 (2011), paper no. 51, 583-599.

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

https://projecteuclid.org/euclid.ecp/1465262007

Digital Object Identifier
doi:10.1214/ECP.v16-1669

Mathematical Reviews number (MathSciNet)
MR2846652

Zentralblatt MATH identifier
1245.60029

Subjects
Primary: 60F05: Central limit and other weak theorems
Secondary: 05C05: Trees

Rights

#### Citation

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

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