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2019 Random replacements in Pólya urns with infinitely many colours
Svante Janson
Electron. Commun. Probab. 24: 1-11 (2019). DOI: 10.1214/19-ECP226

Abstract

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 $S\times [0,1]$.

Citation

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Svante Janson. "Random replacements in Pólya urns with infinitely many colours." Electron. Commun. Probab. 24 1 - 11, 2019. https://doi.org/10.1214/19-ECP226

Information

Received: 27 November 2017; Accepted: 3 April 2019; Published: 2019
First available in Project Euclid: 30 April 2019

zbMATH: 1412.60021
Digital Object Identifier: 10.1214/19-ECP226

Subjects:
Primary: 60C05

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