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Random replacements in Polya urns with infinitely many colours
Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Mathematics. Uppsala Univ, Dept Math, POB 480, SE-75106 Uppsala, Sweden.
2019 (English)In: Electronic Communications in Probability, ISSN 1083-589X, E-ISSN 1083-589X, Vol. 24, article id 23Article in journal (Refereed) Published
Abstract [en]

We consider the general version of Polya 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 x [0, 1].

Place, publisher, year, edition, pages
UNIV WASHINGTON, DEPT MATHEMATICS , 2019. Vol. 24, article id 23
Keywords [en]
Polya urn, infinite Polya urn, random replacements
National Category
Probability Theory and Statistics
Identifiers
URN: urn:nbn:se:uu:diva-384000DOI: 10.1214/19-ECP226ISI: 000466949100001OAI: oai:DiVA.org:uu-384000DiVA, id: diva2:1318803
Funder
Knut and Alice Wallenberg FoundationAvailable from: 2019-05-28 Created: 2019-05-28 Last updated: 2019-05-28Bibliographically approved

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Citation style
  • apa
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  • de-DE
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