Electronic Communications in Probability
- Electron. Commun. Probab.
- Volume 24 (2019), paper no. 23, 11 pp.
Random replacements in Pólya urns with infinitely many colours
We consider the general version of Pólya urns recently studied by Bandyopadhyay and Thacker (2016+) and Mailler and Marckert (2017), with the space of colours being any Borel space $S$ and the state of the urn being a finite measure on $S$. We consider urns with random replacements, and show that these can be regarded as urns with deterministic replacements using the colour space $S\times [0,1]$.
Electron. Commun. Probab., Volume 24 (2019), paper no. 23, 11 pp.
Received: 27 November 2017
Accepted: 3 April 2019
First available in Project Euclid: 30 April 2019
Permanent link to this document
Digital Object Identifier
Zentralblatt MATH identifier
Primary: 60C05: Combinatorial probability
Janson, Svante. Random replacements in Pólya urns with infinitely many colours. Electron. Commun. Probab. 24 (2019), paper no. 23, 11 pp. doi:10.1214/19-ECP226. https://projecteuclid.org/euclid.ecp/1556589626